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» Induced Subgraphs of Bounded Degree and Bounded Treewidth
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SODA
2004
ACM
121views Algorithms» more  SODA 2004»
13 years 8 months ago
A characterization of easily testable induced subgraphs
Let H be a fixed graph on h vertices. We say that a graph G is induced H-free if it does not contain any induced copy of H. Let G be a graph on n vertices and suppose that at leas...
Noga Alon, Asaf Shapira
DM
2008
78views more  DM 2008»
13 years 7 months ago
Planarization and fragmentability of some classes of graphs
The coefficient of fragmentability of a class of graphs measures the proportion of vertices that need to be removed from the graphs in the class in order to leave behind bounded s...
Keith Edwards, Graham Farr
RANDOM
2001
Springer
13 years 11 months ago
Near-optimum Universal Graphs for Graphs with Bounded Degrees
d Abstract) Noga Alon1, , Michael Capalbo2, , Yoshiharu Kohayakawa3, , Vojtˇech R¨odl4,† , Andrzej Ruci´nski5,‡ , and Endre Szemer´edi6,§ 1 Department of Mathematics, Raym...
Noga Alon, Michael R. Capalbo, Yoshiharu Kohayakaw...
COMBINATORICA
2006
137views more  COMBINATORICA 2006»
13 years 7 months ago
Extremal Problems For Transversals In Graphs With Bounded Degree
We introduce and discuss generalizations of the problem of independent transversals. Given a graph property R, we investigate whether any graph of maximum degree at most d with a ...
Tibor Szabó, Gábor Tardos
FAW
2007
Springer
177views Algorithms» more  FAW 2007»
14 years 1 months ago
The Parameterized Complexity of the Induced Matching Problem in Planar Graphs
Abstract. Given a graph G and a nonnegative integer k, the NP-complete Induced Matching problem asks for an edge subset M such that M is a matching and no two edges of M are joined...
Hannes Moser, Somnath Sikdar