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» An Expansion Tester for Bounded Degree Graphs
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STOC
1992
ACM
122views Algorithms» more  STOC 1992»
13 years 11 months ago
Existence and Construction of Edge Disjoint Paths on Expander Graphs
Given an expander graph G = (V, E) and a set of q disjoint pairs of vertices in V , we are interested in finding for each pair (ai, bi), a path connecting ai to bi, such that the ...
Andrei Z. Broder, Alan M. Frieze, Eli Upfal
PDP
2005
IEEE
14 years 1 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...
SODA
2010
ACM
142views Algorithms» more  SODA 2010»
13 years 6 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, ...
STOC
2004
ACM
157views Algorithms» more  STOC 2004»
14 years 7 months ago
Derandomizing homomorphism testing in general groups
The main result of this paper is a near-optimal derandomization of the affine homomorphism test of Blum, Luby and Rubinfeld (Journal of Computer and System Sciences, 1993). We sho...
Amir Shpilka, Avi Wigderson
MFCS
2007
Springer
14 years 1 months ago
NP by Means of Lifts and Shadows
We show that every NP problem is polynomially equivalent to a simple combinatorial problem: the membership problem for a special class of digraphs. These classes are defined by me...
Gábor Kun, Jaroslav Nesetril