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» On the Maximum Number of Cliques in a Graph
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ENDM
2010
111views more  ENDM 2010»
13 years 7 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»
13 years 6 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»
13 years 11 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»
13 years 7 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»
13 years 7 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