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CORR
2011
Springer
205views Education» more  CORR 2011»
12 years 8 months ago
Algorithms for Implicit Hitting Set Problems
A hitting set for a collection of sets is a set that has a nonempty intersection with each set in the collection; the hitting set problem is to find a hitting set of minimum card...
Karthekeyan Chandrasekaran, Richard Karp, Erick Mo...
DAM
2011
12 years 11 months ago
Matchability and k-maximal matchings
We present a collection of new structural, algorithmic, and complexity results for two types of matching problems. The first problem involves the computation of k-maximal matchin...
Brian C. Dean, Sandra Mitchell Hedetniemi, Stephen...
JCO
2007
97views more  JCO 2007»
13 years 4 months ago
Restricted domination parameters in graphs
In a graph G, a vertex dominates itself and its neighbors. A subset S ⊆ V (G) is an m-tuple dominating set if S dominates every vertex of G at least m times, and an m-dominating...
Wayne Goddard, Michael A. Henning
DAM
2008
72views more  DAM 2008»
13 years 4 months ago
Diameter-sufficient conditions for a graph to be super-restricted connected
A vertex-cut X is said to be a restricted cut of a graph G if it is a vertex-cut such that no vertex u in G has all its neighbors in X. Clearly, each connected component of G - X ...
Camino Balbuena, Yuqing Lin, Mirka Miller
ARSCOM
2008
192views more  ARSCOM 2008»
13 years 4 months ago
Bounds on the metric and partition dimensions of a graph
Given a graph G, we say S V (G) is resolving if for each pair of distinct u, v V (G) there is a vertex x in S where d(u, x) = d(v, x). The metric dimension of G is the minimum c...
Glenn G. Chappell, John G. Gimbel, Chris Hartman
COCOON
2009
Springer
13 years 11 months ago
On Finding Small 2-Generating Sets
Given a set of positive integers S, we consider the problem of finding a minimum cardinality set of positive integers X (called a minimum 2-generating set of S) s.t. every element...
Isabelle Fagnot, Guillaume Fertin, Stéphane...