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» Stochastic Minority on Graphs
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DAM
2008
83views more  DAM 2008»
14 years 10 months ago
Spanning forests and the golden ratio
For a graph G, let fij be the number of spanning rooted forests in which vertex j belongs to a tree rooted at i. In this paper, we show that for a path, the fij's can be expr...
Pavel Chebotarev
CONCUR
2006
Springer
15 years 1 months ago
Strategy Improvement for Stochastic Rabin and Streett Games
A stochastic graph game is played by two players on a game graph with probabilistic transitions. We consider stochastic graph games with -regular winning conditions specified as Ra...
Krishnendu Chatterjee, Thomas A. Henzinger
EJC
2008
14 years 10 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
DM
2007
78views more  DM 2007»
14 years 9 months ago
Properties of vertex cover obstructions
We study properties of the sets of minimal forbidden minors for the families of graphs having a vertex cover of size at most k. We denote this set by O(k-VERTEX COVER) and call it...
Michael J. Dinneen, Rongwei Lai