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# On Routing in Circulant Graphs

@inproceedings{Cai1999OnRI, title={On Routing in Circulant Graphs}, author={Jin-Yi Cai and George Havas and Bernard Mans and Ajay Nerurkar and Jean-Pierre Seifert and Igor E. Shparlinski}, booktitle={COCOON}, year={1999} }

- Published 1999 in COCOON
DOI:10.1007/3-540-48686-0_36

We investigate various problems related to circulant graphs { nding the shortest path between two vertices, nding the shortest loop, and computing the diameter. These problems are related to shortest vector problems in a special class of lattices. We give matching upper and lower bounds on the length of the shortest loop. We claim NPhardness results, and establish a worst-case/average-case connection for the shortest loop problem. A pseudo-polynomial time algorithm for these problems is alsoâ€¦Â CONTINUE READING

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