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» On the Maximum Number of Cliques in a Graph
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JDA
2010
122views more  JDA 2010»
13 years 2 months ago
Subexponential parameterized algorithms for degree-constrained subgraph problems on planar graphs
We present subexponential parameterized algorithms on planar graphs for a family of problems of the following shape: given a graph, find a connected (induced) subgraph with bounde...
Ignasi Sau, Dimitrios M. Thilikos
DM
2008
88views more  DM 2008»
13 years 7 months ago
Packing triangles in low degree graphs and indifference graphs
We consider the problems of finding the maximum number of vertex-disjoint triangles (VTP) and edge-disjoint triangles (ETP) in a simple graph. Both problems are NP-hard. The algor...
Gordana Manic, Yoshiko Wakabayashi
IWPEC
2009
Springer
14 years 2 months ago
Boolean-Width of Graphs
Abstract. We introduce the graph parameter boolean-width, related to the number of different unions of neighborhoods across a cut of a graph. For many graph problems this number is...
Binh-Minh Bui-Xuan, Jan Arne Telle, Martin Vatshel...
DM
2008
116views more  DM 2008»
13 years 7 months ago
Breaking the rhythm on graphs
We study graph colorings avoiding periodic sequences with large number of blocks on paths. The main problem is to decide, for a given class of graphs F, if there are absolute const...
Noga Alon, Jaroslaw Grytczuk
COCOON
2000
Springer
14 years 12 hour ago
Parameterized Complexity of Finding Subgraphs with Hereditary Properties
We consider the parameterized complexity of the following problem under the framework introduced by Downey and Fellows[4]: Given a graph G, an integer parameter k and a non-trivial...
Subhash Khot, Venkatesh Raman