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IPL
2002
89views more  IPL 2002»
15 years 6 months ago
New bounds on the barycenter heuristic for bipartite graph drawing
The barycenter heuristic is often used to solve the NP-hard two-layer edge crossing minimization problem. It is well-known that the barycenter heuristic can give solutions as bad a...
Xiao Yu Li, Matthias F. M. Stallmann
JCT
2010
70views more  JCT 2010»
15 years 5 months ago
Graphs with bounded tree-width and large odd-girth are almost bipartite
We prove that for every k and every ε > 0, there exists g such that every graph with tree-width at most k and odd-girth at least g has circular chromatic number at most 2 + ε...
Alexandr V. Kostochka, Daniel Král', Jean-S...
DM
1998
62views more  DM 1998»
15 years 6 months ago
Bipartite subgraphs of integer weighted graphs
For every integer p > 0 let f(p) be the minimum possible value of the maximum weight of a cut in an integer weighted graph with total weight p. It is shown that for every large...
Noga Alon, Eran Halperin
181
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JCT
2002
93views more  JCT 2002»
15 years 6 months ago
Coloring Locally Bipartite Graphs on Surfaces
It is proved that there is a function f : N N such that the following holds. Let G be a graph embedded in a surface of Euler genus g with all faces of even size and with edge-wid...
Bojan Mohar, Paul D. Seymour
DM
2000
80views more  DM 2000»
15 years 6 months ago
An attempt to classify bipartite graphs by chromatic polynomials
Feng Ming Dong, Khee Meng Koh, Kee L. Teo, Charles...