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113
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IPL
2002
89views more  IPL 2002»
15 years 3 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 2 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 3 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
146
Voted
DM
2007
125views more  DM 2007»
15 years 3 months ago
Generalized switch-setting problems
Switch-setting games like Lights Out are typically modelled as a graph, where the vertices represent switches and lamps, and the edges capture the switching rules. We generalize t...
Torsten Muetze
113
Voted
WG
2009
Springer
15 years 10 months ago
Counting the Number of Matchings in Chordal and Chordal Bipartite Graph Classes
Yoshio Okamoto, Ryuhei Uehara, Takeaki Uno