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» Obstacle Numbers of Graphs
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TIT
2011
116views more  TIT 2011»
13 years 4 months ago
On the Number of Errors Correctable with Codes on Graphs
Alexander Barg, Arya Mazumdar
DM
1998
118views more  DM 1998»
13 years 8 months ago
Chromatic Ramsey numbers
Suppose G is a graph. The chromatic Ramsey number rc(G) of G is the least integer m such that there exists a graph F of chromatic number m for which the following is true: For any...
Xuding Zhu
COMBINATORICA
2006
91views more  COMBINATORICA 2006»
13 years 9 months ago
The Number Of Orientations Having No Fixed Tournament
Let T be a fixed tournament on k vertices. Let D(n, T) denote the maximum number of orientations of an n-vertex graph that have no copy of T. We prove that D(n, T) = 2tk-1(n) for ...
Noga Alon, Raphael Yuster
COMBINATORICA
1998
77views more  COMBINATORICA 1998»
13 years 8 months ago
A Bound on the Total Chromatic Number
We prove that the total chromatic number of any graph with maximum degree is at most plus an absolute constant. In particular, we show that for su ciently large, the total chromat...
Michael Molloy, Bruce A. Reed