PASCAL - Pattern Analysis, Statistical Modelling and Computational Learning

1-local 33/24-competitive algorithm for multicoloring hexagonal graphs
Rafał Witkovski and Janez Žerovnik
Lect. notes comput. sci. Volume 6732, pp. 74-84, 2011.

Abstract

In the frequency allocation problem, we are given a cellular telephone network whose geographical coverage area is divided into cells, where phone calls are serviced by assigned frequencies, so that none of the pairs of calls emanating from the same or neighboring cells is assigned the same frequency. The problem is to use the frequencies efficiently, i.e. minimize the span of frequencies used. The frequency allocation problem can be regarded as a multicoloring problem on a weighted hexagonal graph, where each vertex knows its position in the graph. We present a 1-local 33/24-competitive distributed algorithm for multicoloring a hexagonal graph, thereby improving the previous 1-local 7/5-competitive algorithm.

EPrint Type:Article
Project Keyword:Project Keyword UNSPECIFIED
Subjects:Theory & Algorithms
ID Code:8683
Deposited By:Igor Pesek
Deposited On:18 February 2012