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1-local 33/24-competitive Algorithm for Multicoloring Hexagonal Graphs

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.
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Submitted on : Wednesday, March 26, 2014 - 3:16:33 PM
Last modification on : Friday, March 15, 2019 - 4:55:06 PM
Long-term archiving on: : Thursday, June 26, 2014 - 11:32:22 AM

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Rafal Witkowski, Janez Žerovnik. 1-local 33/24-competitive Algorithm for Multicoloring Hexagonal Graphs. Discrete Mathematics and Theoretical Computer Science, DMTCS, 2013, Vol. 15 no. 3 (3), pp.127-138. ⟨hal-00966383⟩

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