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» Minimum Vertex Cover in Rectangle Graphs
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ESA
2007
Springer
115views Algorithms» more  ESA 2007»
15 years 3 months ago
Approximation of Partial Capacitated Vertex Cover
We study the partial capacitated vertex cover problem (pcvc) in which the input consists of a graph G and a covering requirement L. Each edge e in G is associated with a demand (o...
Reuven Bar-Yehuda, Guy Flysher, Julián Mest...
TIT
1998
127views more  TIT 1998»
14 years 9 months ago
On a New Class of Codes for Identifying Vertices in Graphs
—We investigate a new class of codes for the optimal covering of vertices in an undirected graph Gsuch that any vertex in G can be uniquely identified by examining the vertices ...
Mark G. Karpovsky, Krishnendu Chakrabarty, Lev B. ...
SODA
2004
ACM
144views Algorithms» more  SODA 2004»
14 years 10 months ago
Covering minimum spanning trees of random subgraphs
We consider the problem of finding a sparse set of edges containing the minimum spanning tree (MST) of a random subgraph of G with high probability. The two random models that we ...
Michel X. Goemans, Jan Vondrák
APPROX
2006
Springer
234views Algorithms» more  APPROX 2006»
15 years 1 months ago
Constant-Factor Approximation for Minimum-Weight (Connected) Dominating Sets in Unit Disk Graphs
For a given graph with weighted vertices, the goal of the minimum-weight dominating set problem is to compute a vertex subset of smallest weight such that each vertex of the graph...
Christoph Ambühl, Thomas Erlebach, Matú...
DAM
2010
111views more  DAM 2010»
14 years 9 months ago
Covering line graphs with equivalence relations
An equivalence graph is a disjoint union of cliques, and the equivalence number eq(G) of a graph G is the minimum number of equivalence subgraphs needed to cover the edges of G. W...
Louis Esperet, John Gimbel, Andrew King