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Graph labellings with variable weights, a survey

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GRIGGS JR KRÁĽ Daniel

Rok publikování 2009
Druh Článek v odborném periodiku
Časopis / Zdroj Discrete Applied Mathematics
Citace
Doi http://dx.doi.org/10.1016/j.dam.2008.08.024
Klíčová slova Distance constrained labeling; Real number graph labeling; L(p, q)-labeling
Popis Graph labellings form an important graph theory model for the channel assignment problem. An optimum labelling usually depends on one or more parameters that ensure minimum separations between frequencies assigned to nearby transmitters. The study of spans and of the structure of optimum labellings as functions of such parameters has attracted substantial attention from researchers, leading to the introduction of real number graph labellings and lambda-graphs. We survey recent results obtained in this area. (C) 2008 Elsevier B.V. All rights reserved.

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