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Finding and counting given length cycles

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Abstract

We present an assortment of methods for finding and counting simple cycles of a given length in directed and undirected graphs. Most of the bounds obtained depend solely on the number of edges in the graph in question, and not on the number of vertices. The bounds obtained improve upon various previously known results.

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Authors and Affiliations

  1. School of Mathematical Sciences, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, 69978, Tel Aviv, Israel

    N. Alon, R. Yuster & U. Zwick

Authors
  1. N. Alon
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  2. R. Yuster
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  3. U. Zwick
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Additional information

Communicated by N. Megiddo.

This work was supported in part by The Basic Research Foundation administrated by The Israel Academy of Sciences and Humanities.

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Alon, N., Yuster, R. & Zwick, U. Finding and counting given length cycles. Algorithmica 17, 209–223 (1997). https://doi.org/10.1007/BF02523189

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  • DOI: https://doi.org/10.1007/BF02523189

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