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» Testing Expansion in Bounded Degree Graphs
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PDP
2005
IEEE
15 years 4 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»
15 years 11 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»
14 years 10 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»
14 years 11 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»
15 years 4 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