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» A Note on Adaptivity in Testing Properties of Bounded Degree...
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ICALP
2005
Springer
13 years 10 months ago
Preservation Under Extensions on Well-Behaved Finite Structures
A class of relational structures is said to have the extension preservation property if every first-order sentence that is preserved under extensions on the class is equivalent t...
Albert Atserias, Anuj Dawar, Martin Grohe
APPROX
2004
Springer
135views Algorithms» more  APPROX 2004»
13 years 10 months ago
The Diameter of Randomly Perturbed Digraphs and Some Applications.
The central observation of this paper is that if ǫn random arcs are added to any n-node strongly connected digraph with bounded degree then the resulting graph has diameter O(ln ...
Abraham Flaxman, Alan M. Frieze
STOC
2009
ACM
123views Algorithms» more  STOC 2009»
14 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
CORR
2010
Springer
152views Education» more  CORR 2010»
13 years 5 months ago
Deploying Wireless Networks with Beeps
Abstract. We present the discrete beeping communication model, which assumes nodes have minimal knowledge about their environment and severely limited communication capabilities. S...
Alejandro Cornejo, Fabian Kuhn
STOC
2006
ACM
108views Algorithms» more  STOC 2006»
14 years 5 months ago
Gowers uniformity, influence of variables, and PCPs
Gowers [Gow98, Gow01] introduced, for d 1, the notion of dimension-d uniformity Ud (f) of a function f : G C, where G is a finite abelian group. Roughly speaking, if a function ...
Alex Samorodnitsky, Luca Trevisan