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» Edge clique graphs and some classes of chordal graphs
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RSA
2011
89views more  RSA 2011»
14 years 6 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
SODA
2012
ACM
243views Algorithms» more  SODA 2012»
13 years 2 months ago
Bidimensionality and geometric graphs
Bidimensionality theory was introduced by Demaine et al. [JACM 2005 ] as a framework to obtain algorithmic results for hard problems on minor closed graph classes. The theory has ...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh
MICS
2008
124views more  MICS 2008»
14 years 10 months ago
Community Structures of Networks
We present an approach to studying the community structures of networks by using linear programming (LP). Starting with a network in terms of (a) a collection of nodes and (b) a co...
William Y. C. Chen, Andreas W. M. Dress, Winking Q...
135
Voted
LION
2009
Springer
125views Optimization» more  LION 2009»
15 years 6 months ago
New Bounds on the Clique Number of Graphs Based on Spectral Hypergraph Theory
This work introduces new bounds on the clique number of graphs derived from a result due to S´os and Straus, which generalizes the Motzkin-Straus Theorem to a specific class of h...
Samuel Rota Bulò, Marcello Pelillo
94
Voted
DAM
1999
119views more  DAM 1999»
14 years 11 months ago
On the Algorithmic Complexity of Twelve Covering and Independence Parameters of Graphs
The definitions of four previously studied parameters related to total coverings and total matchings of graphs can be restricted, thereby obtaining eight parameters related to cov...
David Manlove