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» Stochastic Minority on Graphs
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122
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WDAG
2010
Springer
233views Algorithms» more  WDAG 2010»
14 years 11 months ago
Minimum Dominating Set Approximation in Graphs of Bounded Arboricity
Abstract. Since in general it is NP-hard to solve the minimum dominating set problem even approximatively, a lot of work has been dedicated to central and distributed approximation...
Christoph Lenzen, Roger Wattenhofer
113
Voted
CORR
2010
Springer
107views Education» more  CORR 2010»
14 years 10 months ago
Metric uniformization and spectral bounds for graphs
We present a method for proving upper bounds on the eigenvalues of the graph Laplacian. A main step involves choosing an appropriate "Riemannian" metric to uniformize th...
Jonathan A. Kelner, James R. Lee, Gregory N. Price...
JSYML
2010
120views more  JSYML 2010»
14 years 7 months ago
First order properties on nowhere dense structures
A set A of vertices of a graph G is called d-scattered in G if no two d-neighborhoods of (distinct) vertices of A intersect. In other words, A is d-scattered if no two distinct ver...
Jaroslav Nesetril, Patrice Ossona de Mendez
109
Voted
STOC
2004
ACM
134views Algorithms» more  STOC 2004»
16 years 28 days ago
Approximate max-integral-flow/min-multicut theorems
We establish several approximate max-integral-flow / minmulticut theorems. While in general this ratio can be very large, we prove strong approximation ratios in the case where th...
Kenji Obata
105
Voted
FOCS
2009
IEEE
15 years 7 months ago
Planarity Allowing Few Error Vertices in Linear Time
— We show that for every fixed k, there is a linear time algorithm that decides whether or not a given graph has a vertex set X of order at most k such that G − X is planar (w...
Ken-ichi Kawarabayashi