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» On the Maximum Number of Cliques in a Graph
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DAM
2006
191views more  DAM 2006»
13 years 7 months ago
Approximating the minimum clique cover and other hard problems in subtree filament graphs
Subtree filament graphs are the intersection graphs of subtree filaments in a tree. This class of graphs contains subtree overlap graphs, interval filament graphs, chordal graphs,...
J. Mark Keil, Lorna Stewart
SIAMDM
2010
170views more  SIAMDM 2010»
13 years 2 months ago
Complete Minors and Independence Number
Let G be a graph with n vertices and independence number . Hadwiger's conjecture implies that G contains a clique minor of order at least n/. In 1982, Duchet and Meyniel prov...
Jacob Fox
COMBINATORICA
2007
92views more  COMBINATORICA 2007»
13 years 7 months ago
Codes And Xor Graph Products
What is the maximum possible number, f3(n), of vectors of length n over {0, 1, 2} such that the Hamming distance between every two is even? What is the maximum possible number, g3...
Noga Alon, Eyal Lubetzky
GECCO
2006
Springer
157views Optimization» more  GECCO 2006»
13 years 11 months ago
How randomized search heuristics find maximum cliques in planar graphs
Surprisingly, general search heuristics often solve combinatorial problems quite sufficiently, although they do not outperform specialized algorithms. Here, the behavior of simple...
Tobias Storch
CORR
2008
Springer
129views Education» more  CORR 2008»
13 years 7 months ago
Bounds on Codes Based on Graph Theory
"THIS PAPER IS ELIGIBLE FOR THE STUDENT PAPER AWARD" Let Aq(n, d) be the maximum order (maximum number of codewords) of a q-ary code of length n and Hamming distance at l...
Salim Y. El Rouayheb, Costas N. Georghiades, Emina...