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SIAMDM
2008
83views more  SIAMDM 2008»
13 years 4 months ago
Combinatorial Properties of a Rooted Graph Polynomial
For a rooted graph G, let EV (G; p) be the expected number of vertices reachable from the root when each edge has an independent probability p of operating successfully. We examine...
David Eisenstat, Gary Gordon, Amanda Redlich
TCS
2010
12 years 11 months ago
An optimal algorithm to generate rooted trivalent diagrams and rooted triangular maps
Abstract. A trivalent diagram is a connected, two-colored bipartite graph (parallel edges allowed but not loops) such that every black vertex is of degree 1 or 3 and every white ve...
Samuel Alexandre Vidal
AAAI
2004
13 years 6 months ago
Combinatorial Auctions with Structured Item Graphs
Combinatorial auctions (CAs) are important mechanisms for allocating interrelated items. Unfortunately, winner determination is NP-complete unless there is special structure. We s...
Vincent Conitzer, Jonathan Derryberry, Tuomas Sand...
WINE
2005
Springer
100views Economy» more  WINE 2005»
13 years 10 months ago
A Primal-Dual Algorithm for Computing Fisher Equilibrium in the Absence of Gross Substitutability Property
Abstract. We provide the first strongly polynomial time exact combinatorial algorithm to compute Fisher equilibrium for the case when utility functions do not satisfy the Gross su...
Dinesh Garg, Kamal Jain, Kunal Talwar, Vijay V. Va...
LICS
2010
IEEE
13 years 2 months ago
Fixed-Point Definability and Polynomial Time on Graphs with Excluded Minors
We prove that fixed-point logic with counting captures polynomial time on all classes of graphs with excluded minors. That is, for every class C of graphs such that some graph H is...
Martin Grohe