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» On the Maximum Number of Cliques in a Graph
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JGT
2010
117views more  JGT 2010»
13 years 6 months ago
An approximate version of Hadwiger's conjecture for claw-free graphs
Hadwiger’s conjecture states that every graph with chromatic number χ has a clique minor of size χ. In this paper we prove a weakened version of this conjecture for the class ...
Maria Chudnovsky, Alexandra Ovetsky Fradkin
IPPS
2007
IEEE
14 years 1 months ago
Minimum number of wavelengths equals load in a DAG without internal cycle
Let P be a family of dipaths. The load of an arc is the number of dipaths containing this arc. Let π(G, P) be the maximum of the load of all the arcs and let w(G, P) be the minim...
Jean-Claude Bermond, Michel Cosnard
SAC
2004
ACM
14 years 28 days ago
Solving the maximum clique problem by k-opt local search
This paper presents a local search algorithm based on variable depth search, called the k-opt local search, for the maximum clique problem. The k-opt local search performs add and...
Kengo Katayama, Akihiro Hamamoto, Hiroyuki Narihis...
GC
2011
Springer
12 years 11 months ago
Minimum Clique Partition in Unit Disk Graphs
The minimum clique partition (MCP) problem is that of partitioning the vertex set of a given graph into a minimum number of cliques. Given n points in the plane, the corresponding...
Adrian Dumitrescu, János Pach
SGAI
2004
Springer
14 years 26 days ago
A combinatorial approach to conceptual graph projection checking
We exploit the combinatorial structure of conceptual graphs in order to obtain faster execution time when computing projection, which is a core generalisation-specialisation relat...
Madalina Croitoru, Ernesto Compatangelo