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» The metamathematics of random graphs
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INFOCOM
2006
IEEE
16 years 9 days 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»
15 years 6 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»
16 years 11 days 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»
15 years 6 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»
15 years 6 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