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» Induced Subgraphs of Bounded Degree and Bounded Treewidth
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CORR
2010
Springer
149views Education» more  CORR 2010»
13 years 7 months ago
Lower Bounds for the Complexity of Monadic Second-Order Logic
Courcelle's famous theorem from 1990 states that any property of graphs definable in monadic second-order logic (MSO2) can be decided in linear time on any class of graphs of ...
Stephan Kreutzer, Siamak Tazari
COMBINATORICS
2006
124views more  COMBINATORICS 2006»
13 years 7 months ago
Bounded-Degree Graphs have Arbitrarily Large Geometric Thickness
Abstract. The geometric thickness of a graph G is the minimum integer k such that there is a straight line drawing of G with its edge set partitioned into k plane subgraphs. Eppste...
János Barát, Jirí Matousek, D...
MFCS
2007
Springer
14 years 1 months ago
NP by Means of Lifts and Shadows
We show that every NP problem is polynomially equivalent to a simple combinatorial problem: the membership problem for a special class of digraphs. These classes are defined by me...
Gábor Kun, Jaroslav Nesetril
FOCS
2006
IEEE
14 years 1 months ago
Minimum Bounded Degree Spanning Trees
We consider the minimum cost spanning tree problem under the restriction that all degrees must be at most a given value k. We show that we can efficiently find a spanning tree o...
Michel X. Goemans
EJC
2008
13 years 7 months ago
Grad and classes with bounded expansion I. Decompositions
Abstract. We introduce classes of graphs with bounded expansion as a generalization of both proper minor closed classes and degree bounded classes. Such classes are based on a new ...
Jaroslav Nesetril, Patrice Ossona de Mendez