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A Spanning Union of Cycles in Thin Cylinder, Torus and Klein Bottle Grid Graphs

Author

Listed:
  • Jelena Đokić

    (Faculty of Technical Sciences, University of Novi Sad, 21000 Novi Sad, Serbia)

  • Ksenija Doroslovački

    (Faculty of Technical Sciences, University of Novi Sad, 21000 Novi Sad, Serbia)

  • Olga Bodroža-Pantić

    (Department of Mathematics and Informatics, Faculty of Science, University of Novi Sad, 21000 Novi Sad, Serbia)

Abstract

In this paper, we propose an algorithm for obtaining the common transfer digraph D m * for enumeration of 2-factors in graphs from the title, all of which have m · n vertices ( m , n ∈ N , m ≥ 2 ). The numerical data gathered for m ≤ 18 reveal some matches for the numbers of 2-factors for different types of torus or Klein bottle. In the latter case, we conjecture that these numbers are invariant under twisting.

Suggested Citation

  • Jelena Đokić & Ksenija Doroslovački & Olga Bodroža-Pantić, 2023. "A Spanning Union of Cycles in Thin Cylinder, Torus and Klein Bottle Grid Graphs," Mathematics, MDPI, vol. 11(4), pages 1-20, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:4:p:846-:d:1060450
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    Cited by:

    1. Alen Vegi Kalamar, 2023. "Counting Traversing Hamiltonian Cycles in Tiled Graphs," Mathematics, MDPI, vol. 11(12), pages 1-13, June.

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