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» Properties of vertex cover obstructions
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STOC
2009
ACM
123views Algorithms» more  STOC 2009»
14 years 6 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
SRDS
2005
IEEE
13 years 11 months ago
Distributed Construction of a Fault-Tolerant Network from a Tree
We present an algorithm by which nodes arranged in a tree, with each node initially knowing only its parent and children, can construct a fault-tolerant communication structure (a...
Michael K. Reiter, Asad Samar, Chenxi Wang
STOC
2010
ACM
224views Algorithms» more  STOC 2010»
13 years 9 months ago
Satisfiability Allows No Nontrivial Sparsification Unless The Polynomial-Time Hierarchy Collapses
Consider the following two-player communication process to decide a language L: The first player holds the entire input x but is polynomially bounded; the second player is computa...
Holger Dell and Dieter van Melkebeek
ESA
2010
Springer
172views Algorithms» more  ESA 2010»
13 years 6 months ago
Algorithmic Meta-theorems for Restrictions of Treewidth
Abstract. Possibly the most famous algorithmic meta-theorem is Courcelle's theorem, which states that all MSO-expressible graph properties are decidable in linear time for gra...
Michael Lampis
LATIN
2004
Springer
13 years 11 months ago
Bidimensional Parameters and Local Treewidth
For several graph-theoretic parameters such as vertex cover and dominating set, it is known that if their sizes are bounded by k then the treewidth of the graph is bounded by some ...
Erik D. Demaine, Fedor V. Fomin, Mohammad Taghi Ha...