Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/19978
DC Field | Value | Language |
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dc.contributor.author | Bodroža-Pantić Olga | - |
dc.contributor.author | Kwong Harris | - |
dc.contributor.author | Doroslovački Rade | - |
dc.contributor.author | Pantić Milan | - |
dc.date.accessioned | 2020-12-13T14:16:01Z | - |
dc.date.available | 2020-12-13T14:16:01Z | - |
dc.date.issued | 2019 | - |
dc.identifier.issn | 1452-8630 | - |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/19978 | - |
dc.description.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. | - |
dc.language.iso | en | - |
dc.relation.ispartof | Applicable Analysis and Discrete Mathematics | - |
dc.source | CRIS UNS | - |
dc.source.uri | http://cris.uns.ac.rs | - |
dc.title | Enumeration of Hamiltonian cycles on a thick grid cylinder - Part I: Non-contractible hamiltonian cycles | - |
dc.type | Journal/Magazine Article | - |
dc.identifier.doi | 10.2298/AADM171215025B | - |
dc.identifier.scopus | 85065528374 | - |
dc.identifier.url | https://www.cris.uns.ac.rs/record.jsf?recordId=112891&source=BEOPEN&language=en | - |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/85065528374 | - |
dc.relation.lastpage | 60 | - |
dc.relation.firstpage | 28 | - |
dc.relation.issue | 1 | - |
dc.relation.volume | 13 | - |
dc.identifier.externalcrisreference | (BISIS)112891 | - |
item.fulltext | No Fulltext | - |
item.grantfulltext | none | - |
crisitem.author.dept | Prirodno-matematički fakultet, Departman za matematiku i informatiku | - |
crisitem.author.dept | Fakultet tehničkih nauka, Departman za opšte discipline u tehnici | - |
crisitem.author.dept | Prirodno-matematički fakultet, Departman za fiziku | - |
crisitem.author.orcid | 0000-0002-7206-4009 | - |
crisitem.author.orcid | 0000-0003-4291-8672 | - |
crisitem.author.parentorg | Prirodno-matematički fakultet | - |
crisitem.author.parentorg | Fakultet tehničkih nauka | - |
crisitem.author.parentorg | Prirodno-matematički fakultet | - |
Appears in Collections: | PMF Publikacije/Publications |
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