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» Upper Bounds for Vertex Cover Further Improved
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DM
2002
134views more  DM 2002»
13 years 7 months ago
Covering a hypergraph of subgraphs
Let G be a tree and let H be a collection of subgraphs of G, each having at most d connected components. Let (H) denote the maximum number of members of H no two of which share a ...
Noga Alon
FOCS
2009
IEEE
14 years 2 months ago
Approximability of Combinatorial Problems with Multi-agent Submodular Cost Functions
Abstract— Applications in complex systems such as the Internet have spawned recent interest in studying situations involving multiple agents with their individual cost or utility...
Gagan Goel, Chinmay Karande, Pushkar Tripathi, Lei...
ICALP
2009
Springer
14 years 7 months ago
Tight Bounds for the Cover Time of Multiple Random Walks
We study the cover time of multiple random walks. Given a graph G of n vertices, assume that k independent random walks start from the same vertex. The parameter of interest is the...
Robert Elsässer, Thomas Sauerwald
STOC
2009
ACM
123views Algorithms» more  STOC 2009»
14 years 8 months ago
An improved constant-time approximation algorithm for maximum~matchings
This paper studies constant-time approximation algorithms for problems on degree-bounded graphs. Let n and d be the number of vertices and the degree bound, respectively. This pap...
Yuichi Yoshida, Masaki Yamamoto, Hiro Ito
MFCS
2009
Springer
13 years 12 months ago
An Improved Approximation Bound for Spanning Star Forest and Color Saving
We present a simple algorithm for the maximum spanning star forest problem. We take advantage of the fact that the problem is a special case of complementary set cover and we adapt...
Stavros Athanassopoulos, Ioannis Caragiannis, Chri...