New Routing Schemes for Interval, Circular-Arc, and Permutation Graphs

F.F. Dragan and I. Lomonosov (USA)

Keywords

Communication algorithms, message routing, intersection graphs.

Abstract

In this note we present new routing schemes for three classes of intersection graphs: interval graphs, circular-arc graphs and per mutation graphs. The routing schemes are compact, efficient and optimal for interval and circular-arc graphs and almost optimal for permutation graphs. For interval graphs, our routing scheme outperforms existing ones in efficiency. To the best of our knowl edge, these are first non-trivial routing schemes that are presented for circular-arc graphs and permutation graphs.

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