Library of Technical Faculties, Maribor (KTFMB)
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2-local 7/6-competitive algorithm for multicoloring a sub-class of hexagonal graphsŠparl, Petra, 1975-2016 ; Žerovnik, Janez, 1958-An important optimization problem in the design of cellular networks is to assign sets of frequencies to transmitters to avoid unacceptable interference. A cellular network is generally modeled as a ... subgraph of the infinite triangular lattice. The distributed frequency assignment problem can be abstracted as a multicoloring problem on a weighted hexagonal graph, where the weight vector represents the number of calls to be assigned at vertices. In this paper we present a 2-local distributed algorithm for multicoloring triangle-free hexagonal graphs with no adjacent centers and with arbitrary demands. The algorithm is using only the local clique numbers at each vertex v of the given hexagonal graph, which can be computed from local information available at the vertex. We prove that the algorithm uses no more than ▫$\lcei7\omega(G)/6\rceil$▫ + 5 colors for any triangle-free hexagonal graph with no adjacent centers G, withouth explicitly computing the global clique number ▫$\omega(g)$▫. Hence the competitive ratio of the algorithm is 7/6.Source: Preprint series. - ISSN 1318-4865 (Vol. 43, 988, 2005, 16 str.)Type of material - article, component partPublish date - 2005Language - englishCOBISS.SI-ID - 9985302
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Šparl, Petra, 1975-2016 | 20495 |
Žerovnik, Janez, 1958- | 03430 |
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