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» Colouring Random Regular Graphs
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87
Voted
STOC
2003
ACM
109views Algorithms» more  STOC 2003»
15 years 11 months ago
Generating random regular graphs
Random regular graphs play a central role in combinatorics and theoretical computer science. In this paper, we analyze a simple algorithm introduced by Steger and Wormald [10] and...
Jeong Han Kim, Van H. Vu
JCT
2008
70views more  JCT 2008»
14 years 11 months ago
The number of possibilities for random dating
Let G be a regular graph and H a subgraph on the same vertex set. We give surprisingly compact formulas for the number of copies of H one expects to find in a random subgraph of G...
Aaron Abrams, Rod Canfield, Andrew Granville
ARSCOM
2004
124views more  ARSCOM 2004»
14 years 11 months ago
The Domatic Number of Regular Graphs
The domatic number of a graph G is the maximum number of dominating sets into which the vertex set of G can be partitioned. We show that the domatic number of a random r-regular g...
Peter Dankelmann, Neil J. Calkin
STOC
2002
ACM
121views Algorithms» more  STOC 2002»
15 years 11 months ago
Almost all graphs with average degree 4 are 3-colorable
We analyze a randomized version of the Brelaz heuristic on sparse random graphs. We prove that almost all graphs with average degree dp4:03; i.e., G?n; p ? d=n?; are 3-colorable a...
Dimitris Achlioptas, Cristopher Moore
103
Voted
GLOBECOM
2007
IEEE
15 years 5 months ago
Colouring Link-Directional Interference Graphs in Wireless Ad Hoc Networks
—In this paper, we clarify inter-link interference in wireless ad-hoc networks by using link-directional interference graphs (l-graph). Most of the interference graphs in the lit...
Ping Chung Ng, David J. Edwards, Soung Chang Liew