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» Independent Sets in Bounded-Degree Hypergraphs
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SODA
2010
ACM
234views Algorithms» more  SODA 2010»
15 years 8 months ago
PTAS for maximum weight independent set problem with random weights in bounded degree graphs
Finding the largest independent set in a graph is a notoriously difficult NP-complete combinatorial optimization problem. Moreover, even for graphs with largest degree 3, no polyn...
David Gamarnik, David Goldberg, Theophane Weber
73
Voted
IPL
2006
105views more  IPL 2006»
14 years 11 months ago
Finding and counting cliques and independent sets in r-uniform hypergraphs
We present a matrix multiplication based algorithm for counting the number of (induced) occurrences of a fixed r-uniform hypergraph in a larger hypergraph. In many cases, the runn...
Raphael Yuster
WG
2005
Springer
15 years 4 months ago
Induced Subgraphs of Bounded Degree and Bounded Treewidth
We prove that for all 0 ≤ t ≤ k and d ≥ 2k, every graph G with treewidth at most k has a ‘large’ induced subgraph H, where H has treewidth at most t and every vertex in ...
Prosenjit Bose, Vida Dujmovic, David R. Wood
PROPERTYTESTING
2010
14 years 9 months ago
On Constant Time Approximation of Parameters of Bounded Degree Graphs
How well can the maximum size of an independent set, or the minimum size of a dominating set of a graph in which all degrees are at most d be approximated by a randomized constant...
Noga Alon
COMBINATORICA
2006
137views more  COMBINATORICA 2006»
14 years 11 months ago
Extremal Problems For Transversals In Graphs With Bounded Degree
We introduce and discuss generalizations of the problem of independent transversals. Given a graph property R, we investigate whether any graph of maximum degree at most d with a ...
Tibor Szabó, Gábor Tardos