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Title: Cyclic labellings with constraints at two distances
Authors: Leese, R
Noble, S D
Keywords: Frequency assignment;Minimum span;Graph labelling;Radio channel assignment
Issue Date: 2004
Publisher: Electronic Journal of Combinatorics
Citation: Electronic Journal of Combinatorics 11(1): R16, Feb 2004
Abstract: Motivated by problems in radio channel assignment, we consider the vertex-labelling of graphs with non-negative integers. The objective is to minimise the span of the labelling, subject to constraints imposed at graph distances one and two. We show that the minimum span is (up to rounding) a piecewise linear function of the constraints, and give a complete specification, together with associated optimal assignments, for trees and cycles.
ISSN: 1077-8926
Appears in Collections:Computer Science
Mathematical Sciences

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