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Cycles through three vertices in 2-connected graphs

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Abstract

Let Gbe a 2-connected graph with minimum degree d and let {x, y, z} be a set of three vertices contained on some cycle ofG. ThenG ishamiltonian or {x, y, z} is contained on a cycle of length at least 2d inG.

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Authors and Affiliations

  1. Department of Mathematics, Florida Atlantic University, 33431, Boca Raton, Florida, USA

    S. C. Locke

  2. Department of Mathematics, West Virginia University, 26506, Morgantown, West Virginia, USA

    Cun-Quan Zhang

Authors
  1. S. C. Locke
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  2. Cun-Quan Zhang
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Locke, S.C., Zhang, CQ. Cycles through three vertices in 2-connected graphs. Graphs and Combinatorics 7, 265–269 (1991). https://doi.org/10.1007/BF01787632

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  • DOI: https://doi.org/10.1007/BF01787632

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