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COMBINATORICS
2004
94views more  COMBINATORICS 2004»
15 years 3 months ago
Short Cycles in Random Regular Graphs
Consider random regular graphs of order n and degree d = d(n) 3. Let g = g(n) 3 satisfy (d-1)2g-1 = o(n). Then the number of cycles of lengths up to g have a distribution simila...
Brendan D. McKay, Nicholas C. Wormald, Beata Wysoc...
CORR
2008
Springer
118views Education» more  CORR 2008»
15 years 3 months ago
Decentralized Search with Random Costs
A decentralized search algorithm is a method of routing on a random graph that uses only limited, local, information about the realization of the graph. In some random graph model...
Oskar Sandberg
INFOCOM
2012
IEEE
13 years 6 months ago
Impact of power-law topology on IP-level routing dynamics: Simulation results
—This paper focuses on the Internet IP-level routing topology and proposes relevant explanations to its apparent dynamics. We first represent this topology as a power-law random...
Amelie Medem Kuatse, Clémence Magnien, Fabi...
JGT
2010
84views more  JGT 2010»
15 years 2 months ago
Large classes of infinite k-cop-win graphs
While finite cop-win finite graphs possess a good structural characterization, none is known for infinite cop-win graphs. As evidence that such a characterization might not exis...
Anthony Bonato, Gena Hahn, Claude Tardif
WEA
2007
Springer
111views Algorithms» more  WEA 2007»
15 years 10 months ago
Vertex Cover Approximations on Random Graphs
Abstract. The vertex cover problem is a classical NP-complete problem for which the best worst-case approximation ratio is 2− o(1). In this paper, we use a collection of simple g...
Eyjolfur Asgeirsson, Clifford Stein