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» Packing Cliques in Graphs with Independence Number 2
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RSA
2011
89views more  RSA 2011»
14 years 4 months ago
Excluding induced subgraphs: Critical graphs
Determining the cardinality and describing the structure of H-free graphs is wellinvestigated for many graphs H. In the nineties, Prömel and Steger proved that for a graph H with...
József Balogh, Jane Butterfield
92
Voted
CORR
2007
Springer
181views Education» more  CORR 2007»
14 years 9 months ago
A new lower bound on the independence number of a graph
For a given connected graph G on n vertices and m edges, we prove that its independence number α(G) is at least ((2m+n+2) -((2m+n+2)2 -16n2 )½ )/8. Keywords : independence numbe...
Ossama Kettani
COMBINATORICS
2007
118views more  COMBINATORICS 2007»
14 years 9 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...
COMAD
2009
14 years 10 months ago
Large Maximal Cliques Enumeration in Large Sparse Graphs
Identifying communities in social networks is a problem of great interest. One popular type of community is where every member of the community knows all others, which can be view...
Natwar Modani, Kuntal Dey
74
Voted
WG
2004
Springer
15 years 2 months ago
Coloring a Graph Using Split Decomposition
We show how to use split decomposition to compute the weighted clique number and the chromatic number of a graph and we apply these results to some classes of graphs. In particular...
Michaël Rao