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» The metamathematics of random graphs
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INFOCOM
2006
IEEE
15 years 3 months ago
On Heterogeneous Overlay Construction and Random Node Selection in Unstructured P2P Networks
— Unstructured p2p and overlay network applications often require that a random graph be constructed, and that some form of random node selection take place over that graph. A ke...
Vivek Vishnumurthy, Paul Francis
COMBINATORICS
2004
94views more  COMBINATORICS 2004»
14 years 9 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...
WEA
2007
Springer
111views Algorithms» more  WEA 2007»
15 years 3 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
COMBINATORICS
2006
116views more  COMBINATORICS 2006»
14 years 9 months ago
Neighbour-Distinguishing Edge Colourings of Random Regular Graphs
A proper edge colouring of a graph is neighbour-distinguishing if for all pairs of adjacent vertices v, w the set of colours appearing on the edges incident with v is not equal to...
Catherine S. Greenhill, Andrzej Rucinski
RSA
2006
66views more  RSA 2006»
14 years 9 months ago
Regular graphs whose subgraphs tend to be acyclic
Motivated by a problem that arises in the study of mirrored storage systems, we describe, for any fixed , > 0 and any integer d 2, explicit or randomized constructions of d-r...
Noga Alon, Eitan Bachmat