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APPROX
2004
Springer
105views Algorithms» more  APPROX 2004»
15 years 3 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»
14 years 8 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»
14 years 9 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»
14 years 10 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»
15 years 11 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...