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» A graph polynomial for independent sets of bipartite graphs
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ORL
2007
102views more  ORL 2007»
13 years 5 months ago
Using critical sets to solve the maximum independent set problem
A method that utilizes the polynomially solvable critical independent set problem for solving the maximum independent set problem on graphs with a nonempty critical independent se...
Sergiy Butenko, Svyatoslav Trukhanov
IWOCA
2010
Springer
223views Algorithms» more  IWOCA 2010»
13 years 17 days ago
Parameterized Algorithms for the Independent Set Problem in Some Hereditary Graph Classes
The maximum independent set problem is NP-complete for graphs in general, but becomes solvable in polynomial time when restricted to graphs in many special classes. The problem is ...
Konrad Dabrowski, Vadim V. Lozin, Haiko Mülle...
GC
2011
Springer
13 years 22 days ago
Ramsey Numbers of Some Bipartite Graphs Versus Complete Graphs
The Ramsey number r(H, Kn) is the smallest positive integer N such that every graph of order N contains either a copy of H or an independent set of size n. The Tur´an number ex(m,...
Tao Jiang, Michael Salerno
FSTTCS
2010
Springer
13 years 3 months ago
Finding Independent Sets in Unions of Perfect Graphs
ABSTRACT. The maximum independent set problem (MAXIS) on general graphs is known to be NPhard to approximate within a factor of n1-, for any > 0. However, there are many "...
Venkatesan T. Chakaravarthy, Vinayaka Pandit, Samb...
WG
2007
Springer
13 years 12 months ago
Mixing 3-Colourings in Bipartite Graphs
For a 3-colourable graph G, the 3-colour graph of G, denoted C3(G), is the graph with node set the proper vertex 3-colourings of G, and two nodes adjacent whenever the correspondi...
Luis Cereceda, Jan van den Heuvel, Matthew Johnson