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» Bounds on the k-domination number of a graph
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IJCAI
2007
15 years 7 months ago
MB-DPOP: A New Memory-Bounded Algorithm for Distributed Optimization
In distributed combinatorial optimization problems, dynamic programming algorithms like DPOP ([Petcu and Faltings, 2005]) require only a linear number of messages, thus generating...
Adrian Petcu, Boi Faltings
DAM
2007
107views more  DAM 2007»
15 years 6 months ago
Eliminating graphs by means of parallel knock-out schemes
In 1997 Lampert and Slater introduced parallel knock-out schemes, an iterative process on graphs that goes through several rounds. In each round of this process, every vertex elim...
Hajo Broersma, Fedor V. Fomin, Rastislav Kralovic,...
JGAA
2006
127views more  JGAA 2006»
15 years 6 months ago
A New Algorithm for Finding Minimal Cycle-Breaking Sets of Turns in a Graph
We consider the problem of constructing a minimal cycle-breaking set of turns for a given undirected graph. This problem is important for deadlock-free wormhole routing in compute...
Lev B. Levitin, Mark G. Karpovsky, Mehmet Mustafa,...
MLQ
1998
126views more  MLQ 1998»
15 years 5 months ago
Reverse Mathematics and Recursive Graph Theory
We examine a number of results of infinite combinatorics using the techniques of reverse mathematics. Our results are inspired by similar results in recursive combinatorics. Theor...
William I. Gasarch, Jeffry L. Hirst
TIT
1998
127views more  TIT 1998»
15 years 5 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. ...