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Finding and counting given length cycles

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Algorithms — ESA '94 (ESA 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 855))

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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.

Work supported in part by THE BASIC RESEARCH FOUNDATION administrated by THE ISRAEL ACADEMY OF SCIENCES AND HUMANITIES.

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Jan van Leeuwen

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© 1994 Springer-Verlag Berlin Heidelberg

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Alon, N., Yuster, R., Zwick, U. (1994). Finding and counting given length cycles. In: van Leeuwen, J. (eds) Algorithms — ESA '94. ESA 1994. Lecture Notes in Computer Science, vol 855. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0049422

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  • DOI: https://doi.org/10.1007/BFb0049422

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58434-6

  • Online ISBN: 978-3-540-48794-4

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