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» On the Maximum Number of Cliques in a Graph
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JGT
2006
40views more  JGT 2006»
13 years 7 months ago
How many graphs are unions of k-cliques?
We study the number F[n; k] of n-vertex graphs that can be written as the edgeunion of k-vertex cliques. We obtain reasonably tight estimates for F[n; k] in the cases (i) k = n-o(...
Béla Bollobás, Graham Brightwell
DM
2010
83views more  DM 2010»
13 years 7 months ago
Packing edge-disjoint cycles in graphs and the cyclomatic number
For a graph G let
Jochen Harant, Dieter Rautenbach, Peter Recht, Fri...
JCT
2007
119views more  JCT 2007»
13 years 7 months ago
Cliques and the spectral radius
We prove a number of relations between the number of cliques of a graph G and the largest eigenvalue (G) of its adjacency matrix. In particular, writing ks (G) for the number of s...
Béla Bollobás, Vladimir Nikiforov
ALMOB
2006
89views more  ALMOB 2006»
13 years 7 months ago
On the maximal cliques in c-max-tolerance graphs and their application in clustering molecular sequences
Given a set S of n locally aligned sequences, it is a needed prerequisite to partition it into groups of very similar sequences to facilitate subsequent computations, such as the ...
Katharina Anna Lehmann, Michael Kaufmann, Stephan ...
GECCO
2000
Springer
145views Optimization» more  GECCO 2000»
13 years 11 months ago
A New Genetic Algorithm for Minimum Span Frequency Assignment using Permutation and Clique
We propose a new Genetic Algorithm (GA) for solving the minimum span frequency assignment problem (MSFAP). The MSFAP is minimizing the range of the frequencies assigned to each tr...
Shouichi Matsui, Ken-ichi Tokoro