On disjoint union of M-graphs
Given a pair (X,σ) consisting of a finite tree X and its vertex self-map σ one can construct the corresponding Markov graph Γ(X,σ) which is a digraph that encodes σ-covering relation between edges in X. M-graphs are Markov graphs up to isomorphism. We obtain several sufficient conditions for the dis...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2017 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2017
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/156635 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On disjoint union of M-graphs / S. Kozerenko // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 2. — С. 262-273. — Бібліогр.: 10 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | Given a pair (X,σ) consisting of a finite tree X and its vertex self-map σ one can construct the corresponding Markov graph Γ(X,σ) which is a digraph that encodes σ-covering relation between edges in X. M-graphs are Markov graphs up to isomorphism. We obtain several sufficient conditions for the disjoint union of M-graphs to be an M-graph and prove that each weak component of M-graph is an M-graph itself.
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| ISSN: | 1726-3255 |