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» On almost self-complementary graphs
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MST
2010
98views more  MST 2010»
13 years 6 months ago
Why Almost All k-Colorable Graphs Are Easy to Color
Coloring a k-colorable graph using k colors (k ≥ 3) is a notoriously hard problem. Considering average case analysis allows for better results. In this work we consider the unif...
Amin Coja-Oghlan, Michael Krivelevich, Dan Vilench...
JDA
2006
83views more  JDA 2006»
13 years 7 months ago
Partitioning a graph of bounded tree-width to connected subgraphs of almost uniform size
Assume that each vertex of a graph G is assigned a nonnegative integer weight and that l and u are nonnegative integers. One wishes to partition G into connected components by del...
Takehiro Ito, Xiao Zhou, Takao Nishizeki
ARSCOM
1999
54views more  ARSCOM 1999»
13 years 7 months ago
Refining the Graph Density Condition for the Existence of Almost K-factors
Alon and Yuster [4] have proven that if a fixed graph K on g vertices is (h + 1)-colorable, then any graph G with n vertices and minimum degree at least h h+1 n contains at least ...
Noga Alon, Eldar Fischer
COCOON
2006
Springer
13 years 9 months ago
Partitioning a Multi-weighted Graph to Connected Subgraphs of Almost Uniform Size
Assume that each vertex of a graph G is assigned a constant number q of nonnegative integer weights, and that q pairs of nonnegative integers li and ui, 1 i q, are given. One wis...
Takehiro Ito, Kazuya Goto, Xiao Zhou, Takao Nishiz...
JCT
2010
70views more  JCT 2010»
13 years 6 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...