Peter Hamburger --- Publications Page

Last update: October 27, 2005.

Some Recent Research Publications by Peter Hamburger

$.PDF$ On k-detour subgraphs of hypercubes, with Arizumi, Nana; Kostochka, Alexandr V., Preprint. Posted September 7, 2004, 11 pages. 527KB.
$.PDF$ Solution of Fink & Straight conjecture on path-perfect complete bipartite graphs, with Cao, Weiting, Preprint. Submitted August 25, 2004, revised Oct. 27, 2005, 29 pages. 251KB.
$.PDF$ Saturated chain partitions in ranked partially ordered sets, and non-monotone symmetric 11-Venn diagrams, with Sali, A.; Petruska, G., Studia Sci. Math. Hungar. 41 (2004), 147-191. (5,499KB.)
$.PDF$ A symmetrical beauty. A non-simple 7-Venn diagram with a minimum vertex set, with Pippert, R., Ars Combin. 66 (2003), 129--137. (Posted August 27, 2001. 659KB.)
$.PDF$ 11-Doilies with vertex sets 275, 286, ..., 462, with Sali, A., AKCE International Journal of Graphs and Combinatorics 1 (2004), 77-102. (Posted August 24, 2001. 1,576KB.)
$.PDF$ Symmetric 11-Venn diagrams with vertex sets 231, 242, ..., 352, with Sali, A., Studia Sci. Math. Hungar. (1-2) 40 (2003), 121-143. (Posted August 24, 2001. 17,013KB.)
$.PDF$ Pretty drawings. More doodles and doilies, symmetric Venn diagrams, posted August 24, 2001, updated December 17, 2002, 41 pages. 19,376KB. A shorter version (33 pages) will appear in Utilitas Mathematica.
$.PDF$ Doodles and doilies, non-simple symmetric Venn diagrams, Discrete Mathematics, a Special Issue in Honor of the 65th Birthday of Daniel J. Kleitman, (2-3) 257 (2002), 423-439. (3,908KB.)
$.PDF$ Analysis of Venn Diagrams using Cycles in Graphs, with Chilakamarri, Kiran; Pippert, Raymond, Geom. Dedicata 82 (2000), no. 1-3, 193--223.
$.PDF$ Regular honest graphs, isoperimetric numbers, and bisection of weighted graphs, with Alon, Noga; Kostochka, Alexandr V., European J. Combin. 20 (1999), no. 6, 469--481.
$.PDF$ Hypercube subgraphs with local detours, with Kostochka, Alexandr V.; Sidorenko, Alexander, J. Graph Theory 30 (1999), no. 2, 101--111.
$.PDF$ Hypercube subgraphs with minimal detours, with Erdös, Pál; Pippert, Raymond E.; Weakley, William D., J. Graph Theory 23 (1996), no. 2, 119--128.
$.PDF$ Hamilton cycles in planar graphs and Venn diagrams, with Chilakamarri, Kiran B.; Pippert, Raymond E., J. Combin. Theory Ser. B 67 (1996), no. 2, 296--303.