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DM
2008
103views more  DM 2008»
15 years 2 months ago
Improper colouring of (random) unit disk graphs
For any graph G, the k-improper chromatic number k (G) is the smallest number of colours used in a colouring of G such that each colour class induces a subgraph of maximum degree ...
Ross J. Kang, Tobias Müller, Jean-Séba...
DM
2007
93views more  DM 2007»
15 years 1 months ago
Small subgraphs of random regular graphs
The main aim of this short paper is to answer the following question. Given a fixed graph H, for which values of the degree d does a random d-regular graph on n vertices contain ...
Jeong Han Kim, Benny Sudakov, Van H. Vu
COMBINATORICS
2002
136views more  COMBINATORICS 2002»
15 years 1 months ago
Minimum Connected Dominating Sets of Random Cubic Graphs
We present a simple heuristic for finding a small connected dominating set of cubic graphs. The average-case performance of this heuristic, which is a randomised greedy algorithm,...
William Duckworth
FOCS
2000
IEEE
15 years 6 months ago
Random graph models for the web graph
Ravi Kumar, Prabhakar Raghavan, Sridhar Rajagopala...