Technical Report CS0826

TR#:CS0826
Class:CS
Title: BALANCING COMMUNICATION IN RING-STRUCTURED NETWORKS.
Authors: A. Litman and A.L. Rosenberg
PDFCS0826.pdf
Abstract: We present a polynomial-time algorithm for finding an almost optimal solution to the following combinatorial problem, which is motivated by the problem of balancing communication in networks having the structure of rings. Input: a circle and a multiset of c chords, having n distinct endpoints, representing desired point-to-point communications; c' of the chords are distinct. The task: to map each chord to an arc having the same endpoints, in a way that minimizes the maximum number of arcs crossing any normal to the circle. Our algorithm operates in time O(n^2c) and uses O(n+c') words of storage; it finds a mapping that is within +1 of optimal.
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