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On the Volume of 5-Cycle Trades

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Abstract.

 A 5-cycle trade of volume t is a graph G whose edge set can be partitioned into t 5-cycles in at least two ways, such that the two collections of 5-cycles have no 5-cycles in common. The foundation of a trade is the number of vertices in the graph G. This paper determines for which values of t and v there exists a 5-cycle trade of volume t and foundation v.

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Authors and Affiliations

  1. Pure Mathematics Department, The Open University, Walton Hall, Milton Keynes, MK7 6AA, UK. e-mail: B.M.Maenhaut@open.ac.uk, , , , , , GB

    Barbara M. Maenhaut

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  1. Barbara M. Maenhaut
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Received: April 27, 1998 Final version received: February 15, 1999

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Maenhaut, B. On the Volume of 5-Cycle Trades. Graphs Comb 17, 315–328 (2001). https://doi.org/10.1007/s003730170045

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  • DOI: https://doi.org/10.1007/s003730170045

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