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https://open.uns.ac.rs/handle/123456789/19978
Title: | Enumeration of Hamiltonian cycles on a thick grid cylinder - Part I: Non-contractible hamiltonian cycles | Authors: | Bodroža-Pantić Olga Kwong Harris Doroslovački Rade Pantić Milan |
Issue Date: | 2019 | Journal: | Applicable Analysis and Discrete Mathematics | Abstract: | © 2018 - Applicable Analysis and Discrete Mathematics. In a recent paper, we have studied the enumeration of Hamiltonian cycles (abbreviated HCs) on the grid cylinder graph P m+1 × C n , where m grows while n is fixed. In this sequel, we study a much harder problem of enumerating HCs on the same graph only this time letting n grow while m is fixed. We propose a characterization for non-contractible HCs which enables us to prove that their numbers h mnc (n) satisfy a recurrence relation for every fixed m. From the computational data, we conjecture that the coefficient for the dominant positive characteristic root in the explicit formula for h mnc (n) is 1. | URI: | https://open.uns.ac.rs/handle/123456789/19978 | ISSN: | 1452-8630 | DOI: | 10.2298/AADM171215025B |
Appears in Collections: | PMF Publikacije/Publications |
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