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 SM ISO690:2012CATARANCIUC, Sergiu, BUJAC, Mariana, SOLTAN, Petru. The Euler Tour of n-Dimensional Manifold with Positive Genus. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2008, nr. 2(57), pp. 110-113. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 2(57) / 2008 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 110-113 | ||||||
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In the paper [1] it is proved that abstract cubic n-dimensional torus [2] possesses a directed Euler tour of the same dimension. The result prompts to a new (virtual) device for transmission and reception of information. In the present paper it is shown that every abstract cubic n-dimensional manifold without borders, of positive genus possesses a n-dimensional directed Euler tour. This result has practical application. |
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| Cuvinte-cheie Abstract manifold, Abstract cube, directed Euler tour., vacuum |
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<meta name="citation_title" content="The Euler Tour of n-Dimensional Manifold with Positive Genus"> <meta name="citation_author" content="Cataranciuc Sergiu"> <meta name="citation_author" content="Bujac Mariana"> <meta name="citation_author" content="Soltan Petru"> <meta name="citation_publication_date" content="2008/08/01"> <meta name="citation_journal_title" content="Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica"> <meta name="citation_volume" content="57"> <meta name="citation_issue" content="2"> <meta name="citation_firstpage" content="110"> <meta name="citation_lastpage" content="113"> <meta name="citation_pdf_url" content="https://ibn.idsi.md/sites/default/files/imag_file/The%20Euler%20Tour%20of%20n_Dimensional%20Manifold%20with%20Positive%20Genus%20110_113.pdf">
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