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COMBINATORICS
2004
94views more  COMBINATORICS 2004»
14 years 11 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»
14 years 11 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
ENDM
2007
106views more  ENDM 2007»
14 years 11 months ago
Removing Even Crossings on Surfaces
In this paper we investigate how certain results related to the HananiTutte theorem can be extended from the plane to surfaces. We give a simple topological proof that the weak Ha...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
INFOCOM
2012
IEEE
13 years 2 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...
WEA
2007
Springer
111views Algorithms» more  WEA 2007»
15 years 6 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