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» On the Chromatic Number of Random Graphs
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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...
RSA
2011
124views more  RSA 2011»
14 years 6 months ago
Sparse random graphs with clustering
In 2007 we introduced a general model of sparse random graphs with independence between the edges. The aim of this paper is to present an extension of this model in which the edge...
Béla Bollobás, Svante Janson, Oliver...
COMBINATORICS
2006
116views more  COMBINATORICS 2006»
14 years 12 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
CORR
2010
Springer
74views Education» more  CORR 2010»
14 years 12 months ago
A note on the random greedy triangle-packing algorithm
The random greedy algorithm for constructing a large partial Steiner-Triple-System is defined as follows. We begin with a complete graph on n vertices and proceed to remove the ed...
Tom Bohman, Alan M. Frieze, Eyal Lubetzky
PKDD
2009
Springer
129views Data Mining» more  PKDD 2009»
15 years 6 months ago
RTG: A Recursive Realistic Graph Generator Using Random Typing
We propose a new, recursive model to generate realistic graphs, evolving over time. Our model has the following properties: it is (a) flexible, capable of generating the cross pro...
Leman Akoglu, Christos Faloutsos