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» The Complexity of Graph Connectivity
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115
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COMBINATORICS
1999
92views more  COMBINATORICS 1999»
15 years 3 months ago
Nim-Regularity of Graphs
Abstract. Ehrenborg and Steingr
Nathan Reading
149
Voted
WG
2009
Springer
15 years 10 months ago
Fully Dynamic Representations of Interval Graphs
We present a fully dynamic algorithm that maintains three different representations of an interval graph: a minimal interval model of the graph, the PQ-tree of its maximal cliques...
Christophe Crespelle
129
Voted
COMPGEOM
2004
ACM
15 years 8 months ago
The geometric thickness of low degree graphs
We prove that the geometric thickness of graphs whose maximum degree is no more than four is two. In our proofs, we present a space and time efficient embedding technique for gra...
Christian A. Duncan, David Eppstein, Stephen G. Ko...
136
Voted
CORR
2010
Springer
149views Education» more  CORR 2010»
15 years 3 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
CORR
2006
Springer
128views Education» more  CORR 2006»
15 years 3 months ago
The Shannon capacity of a graph and the independence numbers of its powers
The independence numbers of powers of graphs have been long studied, under several definitions of graph products, and in particular, under the strong graph product. We show that t...
Noga Alon, Eyal Lubetzky