14 search results - page 1 / 3 » Improper colouring of (random) unit disk graphs |
DM
2008
13 years 4 months ago
2008
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 ...
SIROCCO
2007
13 years 5 months ago
2007
The focus of the present paper is on providing a local deterministic algorithm for colouring the edges of Yao-like subgraphs of Unit Disc Graphs. These are geometric graphs such t...
RSA
2006
13 years 4 months ago
2006
Let n be a positive integer and > 0 a real number. Let Vn be a set of n points in the unit disk selected uniformly and independently at random. Define G(, n) to be the graph w...
ALGORITHMICA
2006
13 years 4 months ago
2006
Dai, Li, and Wu proposed Rule k, a localized approximation algorithm that attempts to find a small connected dominating set in a graph. In this paper we consider the "average...
ESA
2004
Springer
13 years 10 months ago
2004
Springer
Abstract. We propose a novel randomized algorithm for computing a dominating set based clustering in wireless ad-hoc and sensor networks. The algorithm works under a model which ca...