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» Bisimplicial Edges in Bipartite Graphs
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DM
2007
136views more  DM 2007»
13 years 7 months ago
Lower connectivities of regular graphs with small diameter
Krishnamoorthy, Thulasiraman and Swamy [Minimum order graphs with specified diameter, connectivity and regularity, Networks 19 (1989) 25–46] showed that a δ-regular graph with...
Camino Balbuena, Xavier Marcote
ENDM
2007
140views more  ENDM 2007»
13 years 7 months ago
Acyclic dominating partitions
Given a graph G = (V, E), let P be a partition of V . We say that P is dominating if, for each part P of P, the set V \ P is a dominating set in G (equivalently, if every vertex h...
Louigi Addario-Berry, Ross J. Kang
DAM
2010
137views more  DAM 2010»
13 years 7 months ago
H-join decomposable graphs and algorithms with runtime single exponential in rankwidth
We introduce H -join decompositions of graphs, indexed by a fixed bipartite graph H . These decompositions are based on a graph operation that we call H -join, which adds edges be...
Binh-Minh Bui-Xuan, Jan Arne Telle, Martin Vatshel...
ECCC
2010
82views more  ECCC 2010»
13 years 7 months ago
A Strong Parallel Repetition Theorem for Projection Games on Expanders
The parallel repetition theorem states that for any Two Prover Game with value at most 1 - (for < 1/2), the value of the game repeated n times in parallel is at most (1 - 3 )(n...
Ran Raz
CORR
2010
Springer
94views Education» more  CORR 2010»
13 years 6 months ago
When LP is the Cure for Your Matching Woes: Improved Bounds for Stochastic Matchings
Abstract Consider a random graph model where each possible edge e is present independently with some probability pe. Given these probabilities, we want to build a large/heavy match...
Nikhil Bansal, Anupam Gupta, Jian Li, Juliá...