On disjoint union of \(\mathrm{M}\)-graphs
Given a pair \((X,\sigma)\) consisting of a finite tree \(X\) and its vertex self-map \(\sigma\) one can construct the corresponding Markov graph \(\Gamma(X,\sigma)\) which is a digraph that encodes \(\sigma\)-covering relation between edges in \(X\). \(\mathrm{M}\)-graphs are Markov graphs up to is...
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| Datum: | 2018 |
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| Sprache: | English |
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Lugansk National Taras Shevchenko University
2018
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| Назва журналу: | Algebra and Discrete Mathematics |
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admjournalluguniveduua-article-4262018-04-26T02:43:18Z On disjoint union of \(\mathrm{M}\)-graphs Kozerenko, Sergiy tree maps, Markov graphs, Sharkovsky's theorem 05C20, 37E25, 37E15 Given a pair \((X,\sigma)\) consisting of a finite tree \(X\) and its vertex self-map \(\sigma\) one can construct the corresponding Markov graph \(\Gamma(X,\sigma)\) which is a digraph that encodes \(\sigma\)-covering relation between edges in \(X\). \(\mathrm{M}\)-graphs are Markov graphs up to isomorphism. We obtain several sufficient conditions for the disjoint union of \(\mathrm{M}\)-graphs to be an \(\mathrm{M}\)-graph and prove that each weak component of \(\mathrm{M}\)-graph is an \(\mathrm{M}\)-graph itself. Lugansk National Taras Shevchenko University 2018-01-24 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/426 Algebra and Discrete Mathematics; Vol 24, No 2 (2017) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/426/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/426/182 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/426/183 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-04-26T02:43:18Z |
| collection |
OJS |
| language |
English |
| topic |
tree maps Markov graphs Sharkovsky's theorem 05C20 37E25 37E15 |
| spellingShingle |
tree maps Markov graphs Sharkovsky's theorem 05C20 37E25 37E15 Kozerenko, Sergiy On disjoint union of \(\mathrm{M}\)-graphs |
| topic_facet |
tree maps Markov graphs Sharkovsky's theorem 05C20 37E25 37E15 |
| format |
Article |
| author |
Kozerenko, Sergiy |
| author_facet |
Kozerenko, Sergiy |
| author_sort |
Kozerenko, Sergiy |
| title |
On disjoint union of \(\mathrm{M}\)-graphs |
| title_short |
On disjoint union of \(\mathrm{M}\)-graphs |
| title_full |
On disjoint union of \(\mathrm{M}\)-graphs |
| title_fullStr |
On disjoint union of \(\mathrm{M}\)-graphs |
| title_full_unstemmed |
On disjoint union of \(\mathrm{M}\)-graphs |
| title_sort |
on disjoint union of \(\mathrm{m}\)-graphs |
| description |
Given a pair \((X,\sigma)\) consisting of a finite tree \(X\) and its vertex self-map \(\sigma\) one can construct the corresponding Markov graph \(\Gamma(X,\sigma)\) which is a digraph that encodes \(\sigma\)-covering relation between edges in \(X\). \(\mathrm{M}\)-graphs are Markov graphs up to isomorphism. We obtain several sufficient conditions for the disjoint union of \(\mathrm{M}\)-graphs to be an \(\mathrm{M}\)-graph and prove that each weak component of \(\mathrm{M}\)-graph is an \(\mathrm{M}\)-graph itself. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/426 |
| work_keys_str_mv |
AT kozerenkosergiy ondisjointunionofmathrmmgraphs |
| first_indexed |
2025-12-02T15:40:18Z |
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2025-12-02T15:40:18Z |
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1850412160965935104 |