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» On the Maximum Number of Cliques in a Graph
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DM
2008
145views more  DM 2008»
14 years 11 months ago
Clique coverings and partitions of line graphs
A clique in a graph G is a complete subgraph of G. A clique covering (partition) of G is a collection C of cliques such that each edge of G occurs in at least (exactly) one clique...
Bo-Jr Li, Gerard J. Chang
IPPS
1998
IEEE
15 years 3 months ago
Solving the Maximum Clique Problem Using PUBB
Given an (undirected) graph G = V; E; a clique of G is a subset of vertices in which every pair is connected by an edge. The problem of finding a clique of maximum size is a class...
Yuji Shinano, Tetsuya Fujie, Yoshiko Ikebe, Ryuich...
WEA
2009
Springer
123views Algorithms» more  WEA 2009»
15 years 6 months ago
Algorithms and Experiments for Clique Relaxations-Finding Maximum s-Plexes
We propose new practical algorithms to find degree-relaxed variants of cliques called s-plexes. An s-plex denotes a vertex subset in a graph inducing a subgraph where every vertex...
Hannes Moser, Rolf Niedermeier, Manuel Sorge
DM
2006
124views more  DM 2006»
14 years 11 months ago
Hall ratio of the Mycielski graphs
Let n(G) denote the number of vertices of a graph G and let (G) be the independence number of G, the maximum number of pairwise nonadjacent vertices of G. The Hall ratio of a grap...
Mathew Cropper, András Gyárfá...
COMBINATORICS
2004
108views more  COMBINATORICS 2004»
14 years 11 months ago
On the Chromatic Number of Intersection Graphs of Convex Sets in the Plane
Let G be the intersection graph of a finite family of convex sets obtained by translations of a fixed convex set in the plane. We show that every such graph with clique number k i...
Seog-Jin Kim, Alexandr V. Kostochka, Kittikorn Nak...