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APPROX
2004
Springer
105views Algorithms» more  APPROX 2004»
14 years 1 months ago
Counting Connected Graphs and Hypergraphs via the Probabilistic Method
While it is exponentially unlikely that a sparse random graph or hypergraph is connected, with probability 1 − o(1) such a graph has a “giant component” that, given its numbe...
Amin Coja-Oghlan, Cristopher Moore, Vishal Sanwala...
COMBINATORICA
2008
123views more  COMBINATORICA 2008»
13 years 6 months ago
Counting canonical partitions in the random graph
Algorithms are given for computing the number of n-element diagonal sets and the number of n-element strongly diagonal sets of binary sequences of length at most 2n - 2. The first...
Jean A. Larson
DM
2002
91views more  DM 2002»
13 years 7 months ago
A disproof of Henning's conjecture on irredundance perfect graphs
Let ir(G) and (G) be the irredundance number and the domination number of a graph G, respectively. A graph G is called irredundance perfect if ir(H) = (H), for every induced subgr...
Lutz Volkmann, Vadim E. Zverovich
COMBINATORICS
2007
118views more  COMBINATORICS 2007»
13 years 8 months ago
On the Quantum Chromatic Number of a Graph
We investigate the notion of quantum chromatic number of a graph, which is the minimal number of colours necessary in a protocol in which two separated provers can convince a refe...
Peter J. Cameron, Ashley Montanaro, Michael W. New...
ICDE
2008
IEEE
159views Database» more  ICDE 2008»
14 years 9 months ago
Fast Graph Pattern Matching
Due to rapid growth of the Internet technology and new scientific/technological advances, the number of applications that model data as graphs increases, because graphs have high e...
Jiefeng Cheng, Jeffrey Xu Yu, Bolin Ding, Philip S...