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» On the Maximum Number of Cliques in a Graph
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GECCO
2004
Springer
14 years 26 days ago
Finding Maximum Cliques with Distributed Ants
In this paper we describe an ant system algorithm (ASMC) for the problem of finding the maximum clique in a given graph. In the algorithm each ant has only local knowledge of the ...
Thang Nguyen Bui, Joseph R. Rizzo
ESA
2005
Springer
93views Algorithms» more  ESA 2005»
14 years 1 months ago
New Tools and Simpler Algorithms for Branchwidth
Abstract. We provide new tools, such as k-troikas and good subtreerepresentations, that allow us to give fast and simple algorithms computing branchwidth. We show that a graph G ha...
Christophe Paul, Jan Arne Telle
GC
2002
Springer
13 years 7 months ago
Ramsey-Type Results for Unions of Comparability Graphs
Given a graph on n vertices which is the union of two comparability graphs on the same vertex set, it always contains a clique or independent set of size n 1 3 . On the other hand...
Adrian Dumitrescu, Géza Tóth
IOR
2011
175views more  IOR 2011»
13 years 2 months ago
Clique Relaxations in Social Network Analysis: The Maximum k-Plex Problem
This paper introduces and studies the maximum k-plex problem, which arises in social network analysis and has wider applicability in several important areas employing graph-based ...
Balabhaskar Balasundaram, Sergiy Butenko, Illya V....
JGT
2007
130views more  JGT 2007»
13 years 7 months ago
Vertex partitions and maximum degenerate subgraphs
: Let G be a graph with maximum degree d ≥ 3 and ω(G) ≤ d, where ω(G) is the clique number of the graph G. Let p1 and p2 be two positive integers such that d = p1 + p2. In th...
Martín Matamala