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» On the Maximum Number of Cliques in a Graph
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73
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ENDM
2010
111views more  ENDM 2010»
14 years 9 months ago
Clique and chromatic number of circular-perfect graphs
A main result of combinatorial optimization is that clique and chromatic number of a perfect graph are computable in polynomial time (Gr
Arnaud Pêcher, Annegret Katrin Wagler
MP
2010
128views more  MP 2010»
14 years 8 months ago
Copositivity cuts for improving SDP bounds on the clique number
Adding cuts based on copositive matrices, we propose to improve Lov´asz’ bound θ on the clique number and its tightening θ introduced by McEliece, Rodemich, Rumsey, and Schri...
Immanuel M. Bomze, Florian Frommlet, Marco Locatel...
CPM
2006
Springer
176views Combinatorics» more  CPM 2006»
15 years 1 months ago
Longest Common Subsequences in Permutations and Maximum Cliques in Circle Graphs
For two strings a, b, the longest common subsequence (LCS) problem consists in comparing a and b by computing the length of their LCS. In a previous paper, we defined a generalisat...
Alexandre Tiskin
JGAA
2000
179views more  JGAA 2000»
14 years 9 months ago
Approximation Algorithms for Some Graph Partitioning Problems
This paper considers problems of the following type: given an edgeweighted k-colored input graph with maximum color class size c, find a minimum or maximum c-way cut such that eac...
George He, Jiping Liu, Cheng Zhao
HEURISTICS
2006
120views more  HEURISTICS 2006»
14 years 9 months ago
A study of ACO capabilities for solving the maximum clique problem
This paper investigates the capabilities of the Ant Colony Optimization (ACO) meta-heuristic for solving the maximum clique problem, the goal of which is to find a largest set of ...
Christine Solnon, Serge Fenet