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» Bounds on the k-domination number of a graph
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STACS
2007
Springer
15 years 8 months ago
The Polynomially Bounded Perfect Matching Problem Is in NC 2
Abstract. The perfect matching problem is known to be in ¶, in randomized NC, and it is hard for NL. Whether the perfect matching problem is in NC is one of the most prominent ope...
Manindra Agrawal, Thanh Minh Hoang, Thomas Thierau...
CORR
2008
Springer
124views Education» more  CORR 2008»
15 years 2 months ago
A New Upper Bound for Max-2-Sat: A Graph-Theoretic Approach
In MaxSat, we ask for an assignment which satisfies the maximum number of clauses for a boolean formula in CNF. We present an algorithm yielding a run time upper bound of O (2 K 6....
Daniel Raible, Henning Fernau
WADS
2005
Springer
145views Algorithms» more  WADS 2005»
15 years 7 months ago
Approximation Algorithms for Forests Augmentation Ensuring Two Disjoint Paths of Bounded Length
Given a forest F = (V, E) and a positive integer D, we consider the problem of finding a minimum number of new edges E such that in the augmented graph H = (V, E∪E ) any pair of...
Victor Chepoi, Bertrand Estellon, Yann Vaxè...
CORR
2007
Springer
91views Education» more  CORR 2007»
15 years 1 months ago
Single-Exclusion Number and the Stopping Redundancy of MDS Codes
—For a linear block code C, its stopping redundancy is defined as the smallest number of check nodes in a Tanner graph for C, such that there exist no stopping sets of size smal...
Junsheng Han, Paul H. Siegel, Ron M. Roth
133
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SPAA
2004
ACM
15 years 7 months ago
Lower bounds for graph embeddings and combinatorial preconditioners
Given a general graph G, a fundamental problem is to find a spanning tree H that best approximates G by some measure. Often this measure is some combination of the congestion and...
Gary L. Miller, Peter C. Richter