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

Jelena Đokić, Ksenija Doroslovački () and Olga Bodroža-Pantić
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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

Mathematics, 2023, vol. 11, issue 4, 1-20

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.

Keywords: generating functions; enumerations; combinatorial counting (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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