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» Testing Expansion in Bounded Degree Graphs
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FOCS
2009
IEEE
14 years 3 months ago
Local Graph Partitions for Approximation and Testing
—We introduce a new tool for approximation and testing algorithms called partitioning oracles. We develop methods for constructing them for any class of bounded-degree graphs wit...
Avinatan Hassidim, Jonathan A. Kelner, Huy N. Nguy...
JAIR
1998
92views more  JAIR 1998»
13 years 8 months ago
The Gn, m Phase Transition is Not Hard for the Hamiltonian Cycle Problem
Using an improved backtrack algorithm with sophisticated pruning techniques, we revise previous observations correlating a high frequency of hard to solve Hamiltonian cycle instan...
Basil Vandegriend, Joseph C. Culberson
SIGMETRICS
2003
ACM
150views Hardware» more  SIGMETRICS 2003»
14 years 1 months ago
Conductance and congestion in power law graphs
It has been observed that the degrees of the topologies of several communication networks follow heavy tailed statistics. What is the impact of such heavy tailed statistics on the...
Christos Gkantsidis, Milena Mihail, Amin Saberi
SODA
2012
ACM
213views Algorithms» more  SODA 2012»
11 years 11 months ago
Expanders are universal for the class of all spanning trees
Given a class of graphs F, we say that a graph G is universal for F, or F-universal, if every H ∈ F is contained in G as a subgraph. The construction of sparse universal graphs ...
Daniel Johannsen, Michael Krivelevich, Wojciech Sa...
STOC
1992
ACM
122views Algorithms» more  STOC 1992»
14 years 19 days 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