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» Maximum Induced Matchings of Random Cubic Graphs
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COMBINATORICS
2006
156views more  COMBINATORICS 2006»
13 years 7 months ago
Total Domination and Matching Numbers in Claw-Free Graphs
A set M of edges of a graph G is a matching if no two edges in M are incident to the same vertex. The matching number of G is the maximum cardinality of a matching of G. A set S o...
Michael A. Henning, Anders Yeo
STOC
2010
ACM
193views Algorithms» more  STOC 2010»
14 years 13 days 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
ADHOCNOW
2004
Springer
14 years 1 months ago
Approximating the Minimum Number of Maximum Power Users in Ad Hoc Networks
Topology control is the problem of assigning transmission power values to the nodes of an ad hoc network so that the induced graph satisfies some specified property. The most fun...
Errol L. Lloyd, Rui Liu, S. S. Ravi
DC
2011
12 years 7 months ago
Distributed algorithms for covering, packing and maximum weighted matching
Abstract This paper gives poly-logarithmic-round, distributed δ-approximation algorithms for covering problems with submodular cost and monotone covering constraints (Submodular-c...
Christos Koufogiannakis, Neal E. Young
ICALP
2011
Springer
12 years 11 months ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli