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Cycles with Prescribed and Forbidden Sets of Elements in Cubic Graphs

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Abstract.

 A necessary and sufficient condition for the existence of a cycle containing a set of three vertices and an edge excluding another edge is obtained for 3-connected cubic graphs by means of canonical contractions. A necessary and sufficient condition is also obtained for a cyclically 4-connected cubic graph to have a cycle that contains a set of four vertices and that avoids another vertex.

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Authors and Affiliations

  1. University of Natal, Pietermaritzburg, South Africa, , , , , , ZM

    Sheng Bau

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  1. Sheng Bau
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Received: October 4, 1999 Final version received: June 14, 2000

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Bau, S. Cycles with Prescribed and Forbidden Sets of Elements in Cubic Graphs. Graphs Comb 18, 201–208 (2002). https://doi.org/10.1007/s003730200013

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  • DOI: https://doi.org/10.1007/s003730200013