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» Testing Expansion in Bounded Degree Graphs
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PDP
2005
IEEE
14 years 2 months ago
Practicable Layouts for Optimal Circulant Graphs
Circulant graphs have been deeply studied in technical literature. Midimew networks are a class of distancerelated optimal circulant graphs of degree four which have applications ...
Enrique Vallejo, Ramón Beivide, Carmen Mart...
STOC
2003
ACM
114views Algorithms» more  STOC 2003»
14 years 8 months ago
Testing subgraphs in directed graphs
Let H be a fixed directed graph on h vertices, let G be a directed graph on n vertices and suppose that at least n2 edges have to be deleted from it to make it H-free. We show tha...
Noga Alon, Asaf Shapira
SODA
2010
ACM
142views Algorithms» more  SODA 2010»
13 years 7 months ago
Speeding up random walks with neighborhood exploration
We consider the following marking process (rw-rand) made by a random walk on an undirected graph G. Upon arrival at a vertex v, it marks v if unmarked and otherwise it marks a ran...
Petra Berenbrink, Colin Cooper, Robert Elsaesser, ...
TOC
2008
122views more  TOC 2008»
13 years 8 months ago
Derandomizing the Ahlswede-Winter matrix-valued Chernoff bound using pessimistic estimators, and applications
: Ahlswede and Winter [IEEE Trans. Inf. Th. 2002] introduced a Chernoff bound for matrix-valued random variables, which is a non-trivial generalization of the usual Chernoff bound ...
Avi Wigderson, David Xiao
APPROX
2004
Springer
135views Algorithms» more  APPROX 2004»
14 years 2 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