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» Induced Subgraphs of Bounded Degree and Bounded Treewidth
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CORR
2010
Springer
149views Education» more  CORR 2010»
15 years 6 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»
15 years 6 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
16 years 24 days 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
16 years 22 days 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
15 years 6 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