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JGT
2006
97views more  JGT 2006»
13 years 4 months ago
Matchings in hypergraphs of large minimum degree
It is well known that every bipartite graph with vertex classes of size n whose minimum degree is at least n/2 contains a perfect matching. We prove an analogue of this result for...
Daniela Kühn, Deryk Osthus
TCS
2008
13 years 4 months ago
Approximation algorithms for partially covering with edges
The edge dominating set (EDS) and edge cover (EC) problems are classical graph covering problems in which one seeks a minimum cost collection of edges which covers the edges or ve...
Ojas Parekh
STOC
2010
ACM
193views Algorithms» more  STOC 2010»
13 years 9 months ago
Maintaining a large matching and a small vertex cover
We consider the problem of maintaining a large matching and a small vertex cover in a dynamically changing graph. Each update to the graph is either an edge deletion or an edge in...
Krzysztof Onak, Ronitt Rubinfeld
WDAG
2009
Springer
195views Algorithms» more  WDAG 2009»
13 years 11 months ago
A Local 2-Approximation Algorithm for the Vertex Cover Problem
We present a distributed 2-approximation algorithm for the minimum vertex cover problem. The algorithm is deterministic, and it runs in (∆ + 1)2 synchronous communication rounds,...
Matti Åstrand, Patrik Floréen, Valent...
STOC
2002
ACM
91views Algorithms» more  STOC 2002»
14 years 5 months ago
The importance of being biased
The Minimum Vertex Cover problem is the problem of, given a graph, finding a smallest set of vertices that touches all edges. We show that it is NP-hard to approximate this proble...
Irit Dinur, Shmuel Safra