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COCOON
2003
Springer
10 years 3 months ago
Finding Hidden Independent Sets in Interval Graphs
We design efficient competitive algorithms for discovering hidden information using few queries. Specifically, consider a game in a given set of intervals (and their implied inte...
Therese C. Biedl, Brona Brejová, Erik D. De...
MFCS
2004
Springer
10 years 4 months ago
Online Algorithms for Disk Graphs
We study the on-line versions of two fundamental graph problems, maximum independent set and minimum coloring, for the case of disk graphs which are graphs resulting from intersect...
Ioannis Caragiannis, Aleksei V. Fishkin, Christos ...
APPROX
2004
Springer
179views Algorithms» more  APPROX 2004»
10 years 4 months ago
Maximum Weight Independent Sets and Matchings in Sparse Random Graphs. Exact Results Using the Local Weak Convergence Method
ABSTRACT: Let G(n, c/n) and Gr(n) be an n-node sparse random graph and a sparse random rregular graph, respectively, and let I(n, r) and I(n, c) be the sizes of the largest indepen...
David Gamarnik, Tomasz Nowicki, Grzegorz Swirszcz
WG
2005
Springer
10 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
WEA
2005
Springer
154views Algorithms» more  WEA 2005»
10 years 4 months ago
Experimental Evaluation of the Greedy and Random Algorithms for Finding Independent Sets in Random Graphs
This work is motivated by the long-standing open problem of designing a polynomial-time algorithm that with high probability constructs an asymptotically maximum independent set in...
Mark K. Goldberg, D. Hollinger, Malik Magdon-Ismai...
APPROX
2005
Springer
122views Algorithms» more  APPROX 2005»
10 years 4 months ago
Finding a Maximum Independent Set in a Sparse Random Graph
We consider the problem of finding a maximum independent set in a random graph. The random graph G, which contains n vertices, is modelled as follows. Every edge is included inde...
Uriel Feige, Eran Ofek
COCO
2009
Springer
128views Algorithms» more  COCO 2009»
10 years 5 months ago
Inapproximability of Vertex Cover and Independent Set in Bounded Degree Graphs
We study the inapproximability of Vertex Cover and Independent Set on degree d graphs. We prove that: • Vertex Cover is Unique Games-hard to approximate to within a factor 2−(...
Per Austrin, Subhash Khot, Muli Safra
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