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» On almost self-complementary graphs
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106
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MST
2010
98views more  MST 2010»
14 years 10 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»
14 years 11 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»
14 years 11 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
98
Voted
COCOON
2006
Springer
15 years 1 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...
87
Voted
JCT
2010
70views more  JCT 2010»
14 years 10 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...