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An extension of Sallee’s theorem to infinite locally finite vap-free plane graphs

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Abstract

A graph isk-cyclable if givenk vertices there is a cycle that contains thek vertices. Sallee showed that every finite 3-connected planar graph is 5-cyclable. In this paper, by characterizing the circuit graphs and investigating the structure of LV-graphs, we extend his result to 3-connected infinite locally finite VAP-free plane graphs.

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Authors and Affiliations

  1. Department of Mathematics, Hanshin University, 447-791, Osan, Korea

    Hwan-Ok Jung

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  1. Hwan-Ok Jung
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Correspondence to Hwan-Ok Jung.

Additional information

This Work is Supported by Hanshin University Research Grants 2006.

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Jung, HO. An extension of Sallee’s theorem to infinite locally finite vap-free plane graphs. J. Appl. Math. Comput. 22, 83–93 (2006). https://doi.org/10.1007/BF02896462

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  • DOI: https://doi.org/10.1007/BF02896462

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