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» The vertex-cover polynomial of a graph
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ICALP
2010
Springer
13 years 10 months ago
On the Inapproximability of Vertex Cover on k-Partite k-Uniform Hypergraphs
Computing a minimum vertex cover in graphs and hypergraphs is a well-studied optimizaton problem. While intractable in general, it is well known that on bipartite graphs, vertex c...
Venkatesan Guruswami, Rishi Saket
IPL
2010
134views more  IPL 2010»
13 years 17 days ago
Parameterized algorithm for eternal vertex cover
In this paper we initiate the study of a "dynamic" variant of the classical Vertex Cover problem, the Eternal Vertex Cover problem introduced by Klostermeyer and Mynhard...
Fedor V. Fomin, Serge Gaspers, Petr A. Golovach, D...
WEA
2007
Springer
111views Algorithms» more  WEA 2007»
13 years 12 months ago
Vertex Cover Approximations on Random Graphs
Abstract. The vertex cover problem is a classical NP-complete problem for which the best worst-case approximation ratio is 2− o(1). In this paper, we use a collection of simple g...
Eyjolfur Asgeirsson, Clifford Stein
LATIN
2010
Springer
14 years 18 days ago
Some Observations on Holographic Algorithms
Abstract. We define the notion of diversity for families of finite functions, and express the limitations of a simple class of holographic algorithms in terms of limitations on d...
Leslie G. Valiant
APPROX
2008
Springer
173views Algorithms» more  APPROX 2008»
13 years 7 months ago
Connected Vertex Covers in Dense Graphs
We consider the variant of the minimum vertex cover problem in which we require that the cover induces a connected subgraph. We give new approximation results for this problem in d...
Jean Cardinal, Eythan Levy