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Faculty

Marty Lewinter, Ph.D.Marty LeWinter

Professor of Mathematics, Computer Science, and New Media
School of Natural and Social Sciences

Office: NS3005
Tel: (914) 251-6680
Email: marty.lewinter@purchase.edu

Link to my other Purchase web page: http://www.ns.purchase.edu/math/lewinter/

Dr. Marty Lewinter's research interests are graph theory, classical differential geometry, and number theory. He enjoys reading and lecturing about the history of mathematics. Most of his publications are in graph theory and fall into three categories: spanning trees, distance problems, and hypercubes. As graph theory is accessible to undergraduates, some of his publications are co-authored by students.

Education

  • Ph.D., Mathematics, CUNY Graduate Center
  • M.F.A., Music, Purchase College

Selected Publications

1.  M.Lewinter and W.Widulski, Which double starlike trees span ladders? Annals of Discrete Math, 55 (327-332) 1993.

2.  F.Harary and M.Lewinter, Which graphs are pluperfect? Australasian Journal of Combinatorics, 7 (81-86) 1993.

3.  M.Lewinter, Graphs with special distance properties. Annals of Discrete Math, 55 (89-92) 1993.

4.  F.Buckley and M.Lewinter, Graphs with all diametral paths through distant central nodes. Mathl. Comput. Modelling, 11 (35 41) 1993.

5.  F.Harary, T.Haynes and M.Lewinter, On the codomination number of graphs. Proyecciones, 12, 2 (149 153) 1993.

6.  F.Harary and M.Lewinter, Spanning subgraphs of a hypercube IV: Rooted trees. Mathl. Comput. Modelling, 17 (85 88) 1993.

7.  M.Lewinter and W.Widulski, Minimal hyper hamiltonian-laceable graphs. Mathl. Comput. Modelling, 17 (125 127) 1993.

8.  F.Harary and M.Lewinter, All hypercubes are pluperfect. Bull.Malaysian Math. Soc. 16 (21 23) 1993.

9.  M.Lewinter and W.Widulski, Hyperhamilton-laceable and caterpillar-spannable product graphs. Mathl. Comput. Modelling, 34, (99-104) 1997.

10.  D.Gagliardi and M.Lewinter, An infinite class of reach-preservable graphs. Networks, 29 (217 218) 1997.

11.  M.Gargano, M.Lewinter and J.Malerba, Paintable graphs. Cong. Num. 148, (169-175) 2001.

12.  D.Aulicino and M.Lewinter, Pancentral graphs. Cong. Num. 150, (69-72) 2001.

13.  S.Karimi, M.Lewinter and J.Stauffer, Double bonds in hexacyclic hydrocarbons and maximal planar graphs. GTN of NY XLIII (9-11) 2002.

14.  M.Lewinter and W.Widulski, The Saga of Mathematics : A Brief History. Prentice-Hall, 2002.

15.  F.Buckley and M.Lewinter, A Friendly Introduction to Graph Theory. Prentice-Hall, 2003.

16.  M.Gargano, M.Lewinter and J.Malerba, Hypercubes and Pascal's triangle: A tale of two proofs. Math. Magazine, Vol.76, 3 (216-217) 2003.

17.  S.Karimi, M.Lewinter and J.Stauffer, Double bonds in fused hexacyclic systems. J.Math.Chem., 34, (297-301) 2003.

18.  T.Bocchi, S.Karimi, and M.Lewinter, On the distribution of pi bonds in cyclofusene. J.Math.Chem., 35, (339-344) 2004.

19.  M.Gargano, M.Lewinter and J.Malerba, Paintable graphs II: Trees and product graphs. Cong. Num. 166, (215-222) 2004.

20.  F.Buckley and M.Lewinter, CHINESE TRANSLATION OF A Friendly Introduction to Graph Theory. 2005.

21.  M.Lewinter and W.Widulski, KOREAN TRANSLATION OF The Saga of Mathematics : A Brief History. 2005.

22.  S.Karimi and M.Lewinter, Interpolation of shared pi-bonds in cyclofusene. J.Math.Chem., 38, (103-106) 2005.

23.  M.Gargano, M.Lewinter, J.Malerba, A.Weisenseel, Discrete renyi parking constants. Cong. Num. 176, (43-48) 2005.

24.  S.Karimi and M.Lewinter, On the properties of convex multilayered cyclofusene. J.Math.Chem., 39, (593-596) 2006.

25.  D.Gagliardi and M.Lewinter, A survey of undergraduate research in graph theoretic degree sequences. GTN of NY L (8-15) 2006.

26.  S.Karimi, M.Lewinter and S.Kalyanswamy, On the equitability of multiply-connected monolayered cyclofusene. J.Math.Chem., 41, (59-61) 2007.