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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
ENDM
2007
106views more  ENDM 2007»
15 years 3 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 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...
WEA
2007
Springer
111views Algorithms» more  WEA 2007»
15 years 9 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