Louis V. Quintas

My Resume

Home | Biography | Favorite Links | Contact Me | My Resume

 
Louis V. Quintas
Mathematics Department
Pace University
New York, NY 10025

lquintas@pace.edu


VITA: July 14, 2009


 


Prior to my joining Pace University as a Full Professor in 1967, the year of attaining my Ph.D., I was a research assistant in physics studying the self-diffusion of germanium at IBM T.J. Watson Laboratory, Columbia University (1955-57), Lecturer in Mathematics, Columbia University (1957-59), Lecturer in Mathematics, City College, City University of New York (1959-63), Assistant Professor of Mathematics, St. John’s University, Jamaica, New York, (1963-66), and a National Science Foundation Science Faculty Fellow (1966-67).


 


As a representative of and sponsored by Pace University I had the rewarding experience of presenting my research throughout the United States and in the following countries: Austria, Barbados, Canada, Czechoslovakia (also in The Czech Republic and Slovakia), England, France, Hungary, Israel, The People’s Republic of China, Poland, Portugal, Romania, Singapore, Scotland, and Yugoslavia (also in Croatia).


 


Since my teaching has been exclusively at undergraduate institutions I do not have a list of Ph.D. students that I can post. However, I have had the pleasure and satisfaction of working closely with many talented undergraduate students that I tried to encourage to pursue their studies of mathematics and above all to enjoy this beautiful and always fascinating subject.


                                


 


PUBLICATIONS, RESEARCH REPORTS, BOOKS AND EDITED WORKS:


 


PUBLICATIONS AND RESEARCH REPORTS


 


            1.            (with F. Supnick) On the functional equation

  f(lx) = lf(x). Notices Amer. Math. Soc. 8 Abstract 577-8 (1961), 51.


 


            2.            (with F. Supnick) Semi-homogeneous functions. Proc. Amer. Math. Soc. 14 (1963), 620–625.


 


            3.            A note on semi-homogeneous functions. Notices Amer. Math. Soc. 12 Abstract 64T-289 (1964), 452.


 


            4.            One-dimensional cell complexes with homeotopy group equal to zero. Canad. J. Math. 16 (1964), 353–357.


 


5.                  (with F.Supnick) Extreme Hamiltonian circuits. Resolution of the convex odd case. Proc. Amer. Math. Soc. 15 (1964), 454–456.


   


6.                   The extrema of a certain type of connectivity for graphs. Amer. Math. Monthly 72 (1965), 155–156.


 


          7.            (with F. Supnick) Extreme Hamiltonian circuits. Resolution of the convex-even case. Proc. Amer. Math. Soc. 16 (1965), 1058–1061.


 


            8.            (with F. Supnick) On some properties of shortest Hamiltonian circuits. Amer. Math. Monthly 72 (1965), 977–980.


 


            9.            The homotopy groups of the space of homeomorphisms of a multiply punctured surface. Illinois J. Math. 9 (1965), 721–725.


 


            10.            (with F. Supnick) Extrema concerning polygons in space-time. Bull. Amer. Math. Soc. 72 (1966), 71–74.


 


            11.            (with F. Supnick) Extrema in space-time. Canad. J. Math. 18 (1966), 678–691.


 


            12.            Extrema concerning asymmetric graphs. J. Combinatorial Theory 3 (1967), 57–82.


 


            13.            The least number of edges for graphs having symmetric automorphism group. J. Combinatorial Theory 5 (1968), 115–125.


 


            14.            (with M. Richardson) Orbit complexes of graphs. J. Combinatorial Theory 5 (1968), 323–343.


 


            15.            Solved and unsolved problems in the computation of homeotopy groups of 2-manifolds. Trans. N. Y. Acad. Sci. 30 Ser. II (1968), 919–938.


 


            16.            (with A. Gewirtz) Connected extremal edge graphs having symmetric automorphism group. Recent Progress in Combinatorics, Academic Press, New York (1969), 223–227.


 


            17.            (with A. Gewirtz and A. Hill) El número mínimo de puntos para grafos regulares y asimetricos. Scientia 138 (1969), 103–111.


 


            18.            (with A. Gewirtz and A. Hill) Extremum problems concerning graphs and their groups. Combinatorial Structures and Their Applications, Gordon and Breach, New York (1970), 103–109.


 


            19.            (with A. Gewirtz) A call for interdisciplinary relationships. International Conference on Combinatorial Mathematics (New York, N.Y., April 1970) Ann. N. Y. Acad. Sci. 175 (1970), 5–6.


 


            20.            (with A. Gewirtz) The uniqueness of a certain graph. J. Combinatorial Theory 11 (1971), 45–53.


 


            21.            (with R. Frucht and A. Gewirtz) The least number of edges for graphs having automorphism group of order three. Recent Trends in Graph Theory, Springer-Verlag, New York (1971), 95–104.


 


            22.            (with A. Gewirtz) Fixed points of antitone mappings. Recent Trends in Graph Theory, Springer-Verlag, New York (1971), 117–136.


 


            23.            (with R. Frucht and A. Gewirtz) El número mínimo de lineas para grafos conexos con grupo de automorfismos de orden 3, Scientia 142 (Valparaíso) (1971), 72–85.


 


            24.            (with R. Frucht and A. Gewirtz) The least number of edges for connected graphs having automorphism group of order three (English translation of [23]). Mathematics Department, Pace University, New York, N.Y. (1971).


 


            25.            (with R. Frucht and A. Gewirtz) Extremal edge graphs having given automorphism group. Proceedings of the Third Southeastern Conference on Combinatorics, Graph Theory and Computing (Florida Atlantic University, Boca Raton, Fla., March 1972) (1972), 213–219.


 


            26.            (with D.J. McCarthy) A stability theorem for minimum edge graphs with given abstract automorphism group. Trans. Amer. Math. Soc. 208 (1975), 27–39.


 


            27.            (with J. Yarmish) The number of chiral alkanes having carbon automorphism group isomorphic to a symmetric group. Proceedings of the 2nd Caribbean Conference on Combinatorics and Computing, University of the West Indies (1977), 160–190.


            28.             (with D.J. McCarthy) The construction of minimal-line graphs with given automorphism group. Topics in Graph Theory (Papers from the Scientist-in-Residence Program, New York Academy of Sciences, May 1977) Ann. N.Y. Acad. Sci. 328 (1979), 144–156.


 


            29.            (with J. Yarmish) The number of chiral alkanes having given diameter and carbon automorphism group a symmetric group. Ann. N.Y. Acad. Sci. 319 (1979), 436–443.


 


            30.            (with A. Gewirtz) Remarks on this conference and its proceedings. Second International Conference on Combinatorial Mathematics (New York, N.Y., April 1978). Ann. N.Y. Acad. Sci. 319 (1979), ix–x (preface).


 


            31.            (with P. Hell) An intermediate value theorem for graphs with given automorphism group. J. Graph Theory 3 (1979), 35–41.


 


            32.            (with P. Hell) Partial joins and graphs with given group, order, and size. Congressus Numerantium XXI (1978), 357–371.


 


            33.       (with M. Stehlik and J. Yarmish) Degree partition classes for 4-trees having specified properties. Congressus Numerantium XXIV (1979), 795–821.


 


            34.            (with W.J. Martino and J. Yarmish) Degree partition matrices for rooted and unrooted 4-trees. Mathematics Department, Pace University, New York, N.Y. (1980).


 


            35.            (with J. Yarmish) Valence isomers for chemical trees. Match 12 (1981), 65–73.


 


            36.            (with G.S. Bloom and J.W. Kennedy) Distance degree regular graphs. The Theory and Applications of Graphs. John Wiley & Sons, New York (1981), 95–108.


 


            37.            (with M.D. Schiano and J. Yarmish) Degree partition matrices for identity 4-trees. Mathematics Department, Pace University, New York, N.Y. (1980).


 


            38.            (with P.J. Slater) Pairs of non-isomorphic graphs having the same path degree sequence. Match 12 (1981), 75–86.


 


            39.            (with G.S. Bloom and J.W. Kennedy) Improved bounds for packing the surface of an n-sphere. Tech . Rep. CCNY-CS 479, Computer Science Department, City College, CUNY, New York (1980).


 


            40.            (with G.S. Bloom and J.W. Kennedy) Improved bounds for packing an n-sphere with uniform n-spheres. Tech. Rep. CCNY-CS 579, Computer Science Department, City College, CUNY, New York (1980).


 


            41.            (with J.W. Kennedy) Extremal f-trees and embedding spaces for molecular graphs. Discrete Applied Math. 5 (1983), 191–209.


 


            42.            (with P. Brown, M.D. Schiano, and J. Yarmish) Distributions of small order 4-trees and some implications for large orders. Mathematics Department, Pace University, New York, N.Y. (1981).


 


            43.            (with F.Y. Halberstam) Distance and path degree sequences for cubic graphs. Mathematics Department, Pace University, New York, N.Y. (1982).


 


            44.            (with G.S. Bloom and J.W. Kennedy) Research Note: A characterization of graphs of diameter two. Research Institute, Advanced Medical Products, Essex, England (1982); see [59].


 


            45.            (with J. Yarmish) Degree distributions for random 4-trees and skeletons of symmetry weighted (1,4)-trees. Congressus Numerantium 36 (1982), 115–125.


 


            46.            (with C.W. Haigh and J.W. Kennedy) Counting and coding identity trees with fixed diameter and bounded degree. Discrete Applied Math. 7 (1984), 141–160.


 


            47.            (with F.Y. Halberstam) A note on tables of distance and path degree sequences for cubic graphs. Mathematics Department, Pace University, New York, N.Y. (1982).


 


            48.            (with A.T. Balaban) The smallest graphs, trees, and 4-trees with degenerate topological index J. Match 14 (1983), 213–233.


 


            49.            (with G.S. Bloom and J.W. Kennedy) On crossing numbers and linguistic structures. Graph Theory, Lagów 1981, Lecture Notes in Mathematics 1018, Springer-Verlag, Berlin (1983), 14-22.


 


            50.            (with G.S. Bloom, J.W. Kennedy, and M.T. Mandziuk) Random graphs and the physical world. Graph Theory, Lagów 1981, Lecture Notes in Mathematics 1018, Springer-Verlag, Berlin (1983), 94–110.


 


            51.            (with G.S. Bloom and J.W. Kennedy) Some problems concerning distance and path degree sequences. Graph Theory, Lagów 1981, Lecture Notes in Mathematics 1018, Springer-Verlag, Berlin (1983), 179–190.


 


            52.            Random subgraphs of regular graphs. Graph Theory, Singapore 1983, Lecture Notes in Mathematics 1073, Springer-Verlag, Tokyo (1984), 150–160.


 


            53.            A volume function for water based on a random lattice-subgraph model. Chemical Applications of Topology and Graph Theory, Studies in Physical and Theoretical Chemistry 28, Elsevier, Amsterdam (1983), 446–453.


 


            54.            (with M. Gargano) Smallest order pairs of non-isomorphic graphs having the same distance degree sequence and specified number of cycles. Notes from New York Graph Theory Day VI, May 14, 1983, New York Academy of Sciences (1983), 13–16.


 


            55.            (with Z. Palka) Random subgraphs of the n-cycle. Discrete Math. 52 (1984), 243–251.


 


            56.       (with P. Martinez) Distance degree injective regular graphs. Notes from New York Graph Theory Day VIII, May 12, 1984, New York Academy of Sciences (1984), 19–21.


 


            57.            (with J.W. Kennedy and M.M.Syslo) The theorem on planar graphs. Historia Mathematica 12 (1985), 356–368.


 


            58.            (with M. Gargano) A digraph generalization of balanced signed graphs. Congressus Numerantium 48 (1985), 133–144.


 


            59.            (with G.S. Bloom and J.W. Kennedy) A characterization of graphs of diameter two. Amer. Math. Monthly 95 (1988), 37–38; see [44].


 


            60.            (with K.T. Balińska) On generating random f-graphs. Notes from New York Graph Theory Day XII (October 11, 1986, SUNY at Albany, N.Y.) New York Academy of Sciences (1986), 22–24.


 


            61.            (with J.W. Kennedy) Probability models for random f-graphs. Combinatorial Mathematics (New York, June 10–14, 1985) Ann. N.Y. Acad. Sci. 555 (1989), 248–261.


 


            62.            (with A.T. Balaban and J.W. Kennedy) The number of alkanes having n carbons and a longest chain of length d: An application of a theorem of Pólya. J. Chemical Education 65 (1988), 304–313.


 


            63.            (with K.T. Balińska) Random graph models for physical systems. Graph Theory and Topology in Chemistry, Studies in Physical and Theoretical Chemistry 51, Elsevier, Amsterdam (1987), 349–361.


 


            64.            (with F. Buckley and F. Harary) Extremal results on the geodetic number of a graph. SCIENTIA Series A: Mathematical Sciences 2 (1988), 17–26.


 


            65.            (with K.T. Balińska) Generating random f-graphs. The equiprobable limit. Proceedings of the Fifth Caribbean Conference on Combinatorics and Computing, Barbados, W.I., January 4–8, 1988, University of the West Indies (1988), 127–157.


 


            66.            (with J.W. Kennedy) Introductory remarks, Special Volume Applications of Graphs in Chemistry and Physics, Discrete Applied Math. 19 (1988), 1–3.


 


            67.            (with R. Gross, J.W. Kennedy, and M.L. Yarmush) Antigenesis: A cascade-theoretical analysis of the size distributions of antigen-antibody complexes. Discrete Applied Math. 19 (1988), 177–194.


 


            68.            (with M. Borowiecki) Magic digraphs. 33. Internationales wissenschaftliches Kolloquium, Technische Hochschule Ilmenau, DDR (1988), 163-166.


 


            69.            (with K.T. Balińska) The sequential generation of random f-graphs. Preliminaries, an algorithm, and line maximal 2-, 3-, and 4-graphs, Mathematics Department, Pace University, New York, N.Y., October 7, 1988.


 


            70.            (with J.W. Kennedy and P.N. Nikolakos) Extremal graphic sequences. Recent Studies in Graph Theory, Vishwa International Publications, Gulbarga, India (1989), 159–176.


 


            71.            (with J.W. Kennedy) Highly irregular graphs with given automorphism group. Scientia Series A: Mathematical Sciences, 3 (1989), 33–43.


 


            72.            (with K.T. Balińska) A conjecture concerning random sequentially generated line maximal f-graphs. Graph Theory Notes of New York XVII, New York Academy of Sciences (1989), 20–22.


 


            73.            (with K.T. Balińska) The sequential generation of random f-graphs. Line maximal 2-, 3-, 4-graphs. Computers & Chemistry 14 (1990), 323–328.


 


            74.            (with M. Gargano and J.W. Kennedy) Irregular digraphs. Congressus Numerantium 72 (1990), 223–233.


 


            75.            (with K.T. Balińska) The sequential generation of random f-graphs. Distributions of edge-maximal f-graphs as functions of f, Computer Science Center, The Technical Unversity of Poznań, Report No. 316 May 15, 1989; Revised May 18, 1990.


 


            76.            (with Z.S. Chen and J.W. Kennedy) The long and short of cascade trees: Height and a duality in cascade processes, Mathematical Vistas, Ann. N.Y. Acad. Sci. 607 (1990), 14–38.


 


            77.            (with I. Gutman and J.W. Kennedy) Wiener numbers of random benzenoid chains. Chemical Physics Letters 173 (1990), 403–408.


 


            78.            (with I. Gutman and J.W. Kennedy) Perfect matchings in random hexagonal chains. J. Mathematical Chemistry 6 (1991), 377–385.


 


            79.            (with K.T. Balińska) The algorithm IMAGE for the random 2-graph process, Computer Science Center, The Technical University of Poznań, Report No. 334, September 8, 1990.


 


80.              (with K.T. Balińska) The sequential generation of random edge maximal


 f-graphs as a function of f. J. Mathematical Chemistry 8 (1991), 39–51.


 


            81.            (with K.T. Balińska) Problem: Random Graphs ‘89: In Open Problems. Random Graphs Vol. 2, John Wiley & Sons (1992), 279.


 


            82.            (with K.T. Balińska) Edge maximal graphs with large bounded degree. Advances in Graph Theory, Vishwa International Publications, Gulbarga, India (1991), 11–18.


 


            83.            (with K.T. Balińska) The random f-graph process. Quo Vadis, Graph Theory?, Annals of Discrete Math. 55, (1993), 333–340.


 


            84.            (with S.C. Friederich and M.L. Gargano) Matroid bases with optimal sequencing. Congressus Numerantium 82, (1991), 65–77.


 


            85.            (with M.L. Gargano, J.W. Kennedy and D.J. McCarthy) Locks, keys, and threshold schemes: A study in mathematical pragmatism. Graph Theory Notes of New York XXII, New York Academy of Sciences (1992), 38–41.


 


            86.            (with E.J. Farrell, J.W. Kennedy, and S.A.Wahid) Graphs with palindromic matching and characteristic polynomials. Vishwa International J. Graph Theory 1 (1992), 61–78.


 


87.              (with K.T. Balińska and H. Galina) A kinetic approach to the random


 f-graph process. Graph Theory Notes of New York XXIII, New York Academy of Sciences (1992), 35–40.


 


            88.            (with J. Szymański) Nonuniform random recursive trees with bounded degree. Sets, Graphs, and Numbers. Coll. Math. Soc. J. Bolyai 60 (1991), 611–620.


 


            89.            (with K.T. Balińska) The sequential generation of random f-graphs. Distributions and predominant types of edge maximal f-graphs with f > 4. (Combinatorics and Algorithms, Jerusalem 1988) Discrete Math. 114 (1993), 19–22.


 


            90.            (With K.T. Balińska) Problem 165: On the random f-graph process. (4th Int. Symp. on Graphs and Combinatorics, Marseille 1990) Discrete Math. 111 (1993), 488.


 


            91.            (With K.T. Balińska) On generating random f-graphs. Graph Theory Notes of New York XXV, New York Academy of Sciences (1993), 46–47.


 


            92.            (with K.T. Balińska and E.A.J. Godehardt) When is the random f-graph process the random graph process. SCIENTIA Series A: Mathematical Sciences 4 (1990/1991), 15–19.


 


93.              (with K.T. Balińska and E.A.J Godehardt) Relations between the random


f-graph process and the random graph process, Graph Theory Notes of New York XXVI, New York Academy of Sciences (1994), 42–45.


 


            94.            (with K.T. Balińska) Big cycles in random edge maximal 2-graphs. Congressus Numerantium. 93, (1993), 131–141.


 


            95.            (with M.L. Gargano and D.L. von Kleek) Using genetic algorithms to solve mathematically difficult pollution problems. Congressus Numerantium 88, (1992), 39–44.


 


            96.            (with G.O.H. Katona) The largest component in a random subgraph of the n-cycle. (Niedzica 1990) Discrete Math. 121 (1993), 113–116.


 


 


            97.            (with K.T. Balińska and J. Szymański) Random recursive forests. Random Structures & Algorithms 5, (1994), 3–12.


 


            98.            (with K.T. Balińska) The algorithm IMAGE f for the Random f-Graph Process. Computer Science Center, The Technical University of Poznan, Report No. 362 (1993).


 


            99.            (with K.T. Balińska) The algorithm imPBC for the Random 2-Graph Process, Computer Science Center, The Technical University of Poznań, Report No. 411 (1993).


 


            100.            (with K.T. Balińska) Some problems on one edge transformed graphs. Graph Theory Notes of New York XXIX, New York Academy of Sciences (1995), 38–39.


 


            101.            (with K.T. Balińska, F. Buckley and M.L. Gargano) The diameter of a graph whose vertices are graphs. CSIS Pace University Technical Report Series, Report No. 89 (1995).


 


            102.            (with K.T. Balińska) Properties of the transition digraph for the random 2-graph process. Caribb. J. Math. Comput. Sci. 5 (1&2), (1995), 54–69.


 


            103.            (with K.T. Balińska) A diameter problem and some midsize graph problems, 1995 Prague Midsummer Combinatorial Workshop (edited by Martin Klazar) KAM Series 95-309, Department of Applied Mathematics, Charles University, Prague (1995), 6–10.


 


            104.            (with K.T. Balińska) Degrees in a digraph whose nodes are graphs, (Selected papers in honor of Paul Erdős on the occasion of his 80th birthday) Discrete Math. 150 (1996), 17–29.


 


            105.            (with K.T. Balińska, H. Galina and J. Szymański) A kinetic approach to the random f-graph process with nonuniform edge probabilities. J. Chem. Inf. Comput. Sci. 36 (1996), 347–350.


 


            106.            (with K.T. Balińska) Isomorphism classes of one edge transformed graphs. (Stará Lesna, 1994) Tatra Mountains Math. Publ. 9 (1996), 57–67.


 


            107.            (with K.T. Balińska, H. Galina and J. Szymański) A kinetic approach to the random f-graph process. Paths, cycles and components. (Chemical Applications of Mathematics) Discrete Applied Math. 67 (1996), 13–25.


            108. (with M.L. Gargano and Frank LoSacco) The capacitated minimal spanning tree problem: A genetic algorithmicapproach. Extended Abstract: Proceedings Business and Economic Association 1996 Annual Conference (edited by Ron DiBattista) Dowling College, New York, (1996), 154–155.


            109.  (with K.T. Balińska) Identity trees and forests, Computer Science Center, The Technical University of Poznań, Report 412 (1994) (revised March 1996).


 


            110.            (with K.T. Balińska) Two problems on self-complementary graphs, 1996 Prague Midsummer Combinatorial Workshop (edited by Martin Klazar) KAM Series 97-339, Department of Applied Mathematics, Charles University, Prague (1997), 8–14.


 


            111.            (with K.T. Balińska and G.R. Brightwell) Graphs whose vertices are graphs with bounded degree: Distance problems, Centre for Discrete and Applicable Mathematics, London School of Economics & Political Science, Research Report Series, LSE-CDAM-97-05 (March 1997).


 


112. (with K.T. Balińska) Distance problems and a random graph model, Fifth Prague Midsummer Combinatorial Workshop (edited by Jiri Fiala) KAM-DIMATIA-Series  98-386, Department of Applied Mathematics and DIMATIA, Charles University, Prague (1998), 7-10.


           


113. (with E.J. Farrell and J.W. Kennedy) Graph permanent, determinant and cycle


polynomials. Bulletin of the Institute of Combinatorics and its Applications, 23 (1998), 73-82.


           


114. (with K.T.  Balińska) The Reversible Random f-Graph Process. CSIS Pace University Technical Report Series, Report No. 132 (1998).


 


115. (with K.T. Balińska and G.R. Brightwell) Graphs whose vertices are graphs with bounded degree: Distance problems. J. Mathematical Chemistry, 24 (1998), 109-121.


           


116. (with E.J. Farrell and J.W. Kennedy) Permanents, determinants, and cycle polynomials, Graph Theory Notes of New York XXXVI, New York Academy of Sciences (1999), 30-34.


                       


117. (with M.L. Gargano and J.W. Kennedy) Group weighted balanced digraphs and their duals, Congressus Numerantium, 131 (1998), 161-167.


           


118. (with K.T.  Balińska) Maximum outdegrees in a digraph whose nodes are graphs with bounded degree, Paul Erdős and His Mathematics, Research communications of the conference held in the memory of  Paul Erdős, Budapest, Hungary July 4-11, 1999, A. Sali, M. Simonovits, V.T. Sós (Editors), János Bolyai Mathematical Society, Budapest, Hungary 1999, pp. 23-26.


           


119. (with E.J. Farrell and J.W. Kennedy) Permanents and Determinants of graphs: A cycle polynomial approach. J. Combinatorial Mathematics and Combinatorial Computing, 32 (2000), 129-137.


           


120. (with J. Szymański) Graphs whose vertices are forests with bounded degree: Distance problems. Bulletin of the Institute of Combinatorics and its Applications, 28 (2000), 25-35.


           


121. (with E.J. Farrell and J.W. Kennedy) Permanents of matrices: A cycle polynomial approach. Bulletin of the Institute of Combinatorics and its Applications, 28 (2000), 99-106.


           


122. (with K.T. Balińska) Results and problems concerning edge transformed graphs. Electronic Journal of Discrete Mathematics, (6-th International Conference on Graph Theory, Luminy 2000, Irena Rusu (Editor)) 5 (2000), 9-12.


 


123. (with M.L. Gargano and J. Rubens) Complement domination. Congressus Numerantium, 145 (2000) 109-120.


           


124. (with K.T. Balińska and M.L. Gargano) Two models for graphs with bounded degree. Croatica Chemica Acta 74(2) (2001) 207-223.


           


125. (with M.L. Gargano and J.W. Kennedy) Recurrence relations and sums of powers of integer sequences. CSIS Pace University Technical Report 163 (2001).


 


126. (with K.T. Balińska) Algorithms for the random f-Graph Process. MATCH 44 (2001), 319-333.


 


           127. (with K.T. Balińska and M.L. Gargano) An edge partition problem concerning Hamilton paths. Congressus Numerantium 152 (2001) 45-54.


 


128. (with J. Szymański) Digraphs whose nodes are multigraphs having exactly two degrees  f and 2. Ars Combinatoria 64 (2002) 117-127.


 


129. (with K.T. Balińska and M.L. Gargano) The reversible random f-graph process with loops. Proceedings of a Festschrift Held on the Occasion of the Retirement of Professor Robert Bumcroft, Department of Mathematics, Hofstra University (2002) 118-128.


 


130. (with K.T. Balińska and K.T. Zwierzyński) Extremal size problems for graphs with bounded degree. Computer Science Center Report No. 484, The Technical University of Poznań (2002).


 


131. (with K.T. Balińska, M.L.  Gargano, J. Rubens, M. Lewinter, and J.F. Malerba) The Flavor of Research in Graph Theory. Four Papers at the Leading Edge. CSIS Pace University Technical Report 179 (2002). Includes reprints of  [123][124] and [127].


 


132. (with Eric M. Wahl) Random Graph Process Models for Angiogenesis. CSIS Pace University Technical Report 183 (2002).


 


133. (with K.T. Balińska, M.L. Gargano, and K.T. Zwierzyński) Graphs with non-traceable edges. Computer Science Center Report No. 485, The Technical University of Poznań (2002).


 


134. (with E.J. Farrell and M.L. Gargano) An edge partition problem concerning perfect matchings. Congressus Numerantium 157 (2002) 33-40.  Also appears in CSIS Pace University Technical Report 199 (2004).


 


135. (with M.L. Gargano) A simple theorem on self-complementary graphs. The New York State Teachers’ Journal  53(1) (2003) 36.


 


136. (with E.J. Farrell and M.L. Gargano) Spanning trees in linear polygonal chains. Bulletin of the Institute of Combinatorics and its Applications, 39 (2003) 67-74. Also appears in CSIS Pace University Technical Report 199 (2004).


 


           137. (with E.J. Farrell and M.L. Gargano) An application of path polynomials to discrete random allocation problems. Utilitas Mathematica 65 (2004) 181-192.


 


138. (with E.J. Farrell and M.L. Gargano) An application of star polynomials to discrete random allocation problems. Utilitas Mathematica 67 (2005) 81-96.


 


139. (with E.J. Farrell and M.L. Gargano) A note on the number of spanning trees in long linear polygonal chains. Bulletin of the Institute of Combinatorics and its Applications 42 (2004), 106-110.


 


140. (with K.T. Balińska, M.L. Gargano, and K.T.  Zwierzyński) Extremal size problems for graphs with non-traceable edges. Congressus Numerantium 162 (2003) 55-64.


 


141. (with M.L. Gargano) Complementary arithmetic sequences. Congressus Numerantium 162 (2003) 33-42.


 


142. (with M.L. Gargano, L.L. Lurie, and E.M. Wahl) A graph theory analysis of renal glomerular microvascular networks. Microvascular Research 67 (2004) 223-230.

 

143. (with M.L. Gargano and E.M. Wahl) Angiogenesis as a random graph process. Congressus Numerantium 167 (2004) 193-207.

 

144. (with S-H. Cha, M.L. Gargano, and E.M. Wahl) A vascular network growth estimation algorithm using random graphs. Lecture Notes in Computer Science 3434, Springer-Verlag, Berlin (2005) 45-53.

 

145. (with E.J. Farrell and M.L. Gargano) Constructions of connected graphs with given matchable ratio. Bulletin of the Institute of Combinatorics and its Applications 45 (2005) 51-62.

 

146. (with M.L. Gargano, L.L. Lurie, and E.M. Wahl) Variations on the ballot problem. Congressus Numerantium 176 (2005) 33-41.

 

147. (with K.T. Balińska, M.L. Gargano, and K.T.  Zwierzyński) Hamilton paths in graphs whose vertices are graphs. J. Comb. Math. & Comb. Compt. 56 (2006) 3-16.

 

          

148. (with K.T. Balińska and K.T. Zwierzyński) Extremal size for graphs with bounded degree. Ars Combinatoria 81 (2006).235-246.

 

           149. (with M.L. Gargano and G.A. Vaughn Sr.) Improving a greedy DNA motif search using a multiple genomic self-adapting genetic algorithm. Congressus Numerantium 185 (2007) 23-29.

 

150. (with M.L. Gargano) Feasible task schedules with minimum project cost solved by a genetic algorithm. Communications of the IIMA 6 (2006) 57-62.

Also appears as CSIS Pace University Technical Report 237 (2007).

 

          151. (with D. Gagliardi and M.L. Gargano) Neighborhood regular graphs. Congressus Numerantium 185 (2007) 31-45..

 

         152. (with M.L. Gargano and L.L. Lurie) Experimentation and discovery in graph theory using an evolutionary tool. Congressus Numerantium 185 (2007) 47-55.

 

         153. (with K.T. Balińska and K.T. Zwierzyński) The chromatic number of edge maximal graphs with bounded degree. Computer Science Center, The Technical University of Poznań, Report 545 (2007).  

 

         154. (with K.T. Balińska and K.T. Zwierzyński) On generating graphs with bounded degree and a given chromatic number. Studies in Automation and Information Technology 32, Publ. House of the Poznań Society for the Advancement of the Arts and
Sciences, Poznań, (2007) 7-16.
  

 

         155. (with E.J. Farrell and M.L. Gargano) Bipartite-Assembly. Utilitas Mathematica 75  (2008) 3-12.

 

          156. (with E.J. Farrell and M.L. Gargano) Applications of star polynomials to a class of partition problems. Bulletin of the Institute of Combinatorics and its Applications 53 (2008) 23-30.

 

           157. (with S-H. Cha, M.L. Gargano, S. Chang, and E.M. Wahl) Estimating a vascular network growth using random graphs.  Machine GRAPHICS & VISION  17 (2008) 91-103.

 

          158. (with A.Delgado and M. Lewinter) Spanning-tree-center vertices of a graph. Congressus Numerantium 189 (2008) 43-48.

 

          159. (with E.G. Ducasse, M.L. Gargano, M.B. Kattimani) The edge degree weight sum of a graph. Graph Theory Notes of New York LVI, The Mathematical Association of America (2009) 38–43.

  

 



        

  


 


 


BOOKS:


 


          (with W.J. Adams and A. Gewirtz) Elements of Linear Programming. Van Nostrand Reinhold, New York (1969).


 


            (with L. Auslander, F.J. Avenoso, P.M. Cheifetz, E. Dyer, A. Gewirtz, B.E. Hunte, and H.E. Rauch) Mathematics Through Statistics. Mathematical Dimensions, Inc., Chicago (1971).


 


              (with J. Blamire, R.A. Eckhardt, and A. Gewirtz) Wordprocessing for the TRS 80 and SuperScipsit. Thorin Partners, New York (1983).


 


                (with K.T. Balińska) Models for random graphs with bounded degree, Prepublication Preliminary Editions: August 2003, 2004.


 


                 (with K.T. Balińska) Random Graphs with Bounded Degree, Publishing House, Poznań University of Technology, Poznań (2006) 291 pp.


 


 


EDITED WORKS:


 


          (with A. Gewirtz) International Conference on Combinatorial Mathematics. Ann. N.Y. Acad. Sci. 175 (1970), 1–412.


 


          (with A. Gewirtz) Second International Conference on Combinatorial Mathematics. Ann. N.Y. Acad. Sci. 319 (1979), 1–602.


 


          (with J.W. Kennedy) Special Volume on Applications of Graphs in Chemistry and Physics. Discrete Applied Math. 19 (1–3) (1988), 1–416.


 


          (with J.W. Kennedy) Applications of Graphs in Chemistry and Physics. North Holland (1988), 1–416.


 


          (with J. Gimbel and J.W. Kennedy) Quo Vadis, Graph Theory?  Annals of Discrete Math. 55, (1993), 1–400.


 


          (with J.W. Kennedy) Graph Theory Notes of New York, Combined Index Supplement, Issues I–XXX (1980–1996).


 


          (with J.W. Kennedy) Graph Theory Notes of New York. New York Academy of Sciences, Issues I (1980) – LV (2008).