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» On perfectness of sums of graphs
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COMPGEOM
2006
ACM
14 years 2 months ago
Minimum weight triangulation is NP-hard
A triangulation of a planar point set S is a maximal plane straight-line graph with vertex set S. In the minimum weight triangulation (MWT) problem, we are looking for a triangula...
Wolfgang Mulzer, Günter Rote
COMBINATORICA
1998
94views more  COMBINATORICA 1998»
13 years 8 months ago
The Shannon Capacity of a Union
For an undirected graph G = (V, E), let Gn denote the graph whose vertex set is V n in which two distinct vertices (u1, u2, . . . , un) and (v1, v2, . . . , vn) are adjacent iff ...
Noga Alon
APPML
2007
101views more  APPML 2007»
13 years 8 months ago
Extension of a theorem of Whitney
It is shown that every planar graph with no separating triangles is a subgraph of a Hamiltonian planar graph; that is, Whitney’s theorem holds without the assumption of a triang...
Paul C. Kainen, Shannon Overbay
AAAI
2010
13 years 10 months ago
Propagating Conjunctions of AllDifferent Constraints
We study propagation algorithms for the conjunction of two ALLDIFFERENT constraints. Solutions of an ALLDIFFERENT constraint can be seen as perfect matchings on the variable/value...
Christian Bessiere, George Katsirelos, Nina Narody...
JCT
2008
109views more  JCT 2008»
13 years 8 months ago
Decomposing Berge graphs and detecting balanced skew partitions
A hole in a graph is an induced cycle on at least four vertices. A graph is Berge if it has no odd hole and if its complement has no odd hole. In 2002, Chudnovsky, Robertson, Seym...
Nicolas Trotignon