Publication details

An exact algorithm for the channel ass assignment problem


KRÁĽ Daniel

Year of publication 2005
Type Article in Periodical
Magazine / Source Discrete Applied Mathematics
Description A channel assignment problem is a triple (V, E, w) where V is a vertex set, E is an edge set and w is a function assigning edges positive integer weights. An assignment c of integers between 1 and K to the vertices is proper if c(u) - c(v) greater than or equal to w(uv) for each uv is an element of E; the smallest K for which there is a proper assignment is called the span. The input problem is set to be l-bounded if the values of w do not exceed l. We present an algorithm running in time O(n(l + 2)(n)) which outputs the span for l-bounded channel assignment problems with n vertices. An algorithm running in time O(nl(l + 2)(n)) for computing the number of different proper assignments of span at most K is further presented. (C) 2004 Elsevier B.V. All rights reserved.

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