Journal of the ACM Bibliography

Noga Alon, Raphael Yuster, and Uri Zwick. Color-coding. Journal of the ACM, 42(4):844-856, July 1995. [BibTeX entry]
Abstract

We describe a novel randomized method, the method of color-coding for finding simple paths and cycles of a specified length k, and other small subgraphs, within a given graph G = (V,E). The randomized algorithms obtained using this method can be derandomized using families of perfect hash functions. Using the color-coding method we obtain, in particular, the following new results:

These results improve upon previous results of many authors. The third result resolves in the affirmative a conjecture of Papadimitriou and Yannakakis that the LOG PATH problem is in P. We can show that it is even in NC. Copyright 1995 by ACM, Inc.

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Preliminary version

A preliminary version of these results was presented in: Noga Alon, Raphy Yuster, and Uri Zwick. Color-coding: a new method for finding simple paths, cycles and other small subgraphs within large graphs (extended abstract). In Proceedings of the Twenty-Sixth Annual ACM Symposium on the Theory of Computing, pages 326-335, Montréal, Québec, Canada, 23-25 May 1994.

Categories and Subject Descriptors: G.2.2 [Discrete Mathematics]: Graph Theory -- graph algorithms, path and circuit problems

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