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» An Algorithm for the Graph Crossing Number Problem
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COMBINATORICA
2007
119views more  COMBINATORICA 2007»
15 years 4 months ago
Complete partitions of graphs
A complete partition of a graph G is a partition of its vertex set in which any two distinct classes are connected by an edge. Let cp(G) denote the maximum number of classes in a ...
Magnús M. Halldórsson, Guy Kortsarz,...
FCT
2003
Springer
15 years 10 months ago
Graph Searching, Elimination Trees, and a Generalization of Bandwidth
The bandwidth minimization problem has a long history and a number of practical applications. In this paper we introduce a natural extension of bandwidth to partially ordered layo...
Fedor V. Fomin, Pinar Heggernes, Jan Arne Telle
188
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PODC
2011
ACM
14 years 7 months ago
Locally checkable proofs
This work studies decision problems from the perspective of nondeterministic distributed algorithms. For a yes-instance there must exist a proof that can be verified with a distri...
Mika Göös, Jukka Suomela
LATIN
2010
Springer
15 years 11 months ago
Sharp Separation and Applications to Exact and Parameterized Algorithms
Many divide-and-conquer algorithms employ the fact that the vertex set of a graph of bounded treewidth can be separated in two roughly balanced subsets by removing a small subset o...
Fedor V. Fomin, Daniel Lokshtanov, Fabrizio Grando...
STOC
2009
ACM
123views Algorithms» more  STOC 2009»
16 years 5 months ago
An improved constant-time approximation algorithm for maximum~matchings
This paper studies constant-time approximation algorithms for problems on degree-bounded graphs. Let n and d be the number of vertices and the degree bound, respectively. This pap...
Yuichi Yoshida, Masaki Yamamoto, Hiro Ito