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» The vertex-cover polynomial of a graph
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ESA
2010
Springer
188views Algorithms» more  ESA 2010»
14 years 7 months ago
Contractions of Planar Graphs in Polynomial Time
Abstract. We prove that for every graph H, there exists a polynomial-time algorithm deciding if a planar graph can be contracted to H. We introduce contractions and topological min...
Marcin Kaminski, Daniël Paulusma, Dimitrios M...
JGAA
2007
123views more  JGAA 2007»
14 years 9 months ago
A Polynomial Time Algorithm for Finding Nash Equilibria in Planar Win-Lose Games
Abstract. Two-player win-lose games have a simple directed graph representation. Exploiting this, we develop graph theoretic techniques for finding Nash equilibria in such games. ...
Louigi Addario-Berry, Neil Olver, Adrian Vetta
DAM
2006
100views more  DAM 2006»
14 years 9 months ago
On the colored Tutte polynomial of a graph of bounded treewidth
We observe that a formula given by S. Negami [Trans. Amer. Math. Soc. 299 (1987), 601-622] for the Tutte polynomial of a k-sum of two graphs generalizes to a colored Tutte polynom...
Lorenzo Traldi
70
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STOC
2009
ACM
160views Algorithms» more  STOC 2009»
15 years 10 months ago
CSP gaps and reductions in the lasserre hierarchy
We study integrality gaps for SDP relaxations of constraint satisfaction problems, in the hierarchy of SDPs defined by Lasserre. Schoenebeck [25] recently showed the first integra...
Madhur Tulsiani
TOMS
2010
106views more  TOMS 2010»
14 years 8 months ago
Computing Tutte Polynomials
The Tutte polynomial of a graph, also known as the partition function of the q-state Potts model, is a 2-variable polynomial graph invariant of considerable importance in both comb...
Gary Haggard, David J. Pearce, Gordon Royle