A note on the token distribution problem

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Abstract

Consider a set of packets distributed unevenly among the nodes of a bounded degree network of processors. The Token Distribution Problem involves redistributing these packets so that each node holds the same number. Token distribution algorithms underlie several efficient routing algorithms. Peleg and Upfal formulated this problem and presented a communication-efficient solution. In this paper we refine their techniques to provide a solution that is efficient with respect to both communication and local computation.

Keywords

Parallel algorithms
routing
expander graphs

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The author's current address is: Department of Computer Science, University College, Cork, Ireland, United Kingdom. This work was supported in part by the Joint Services Electronics Program under contract F49620-87-C-0044.