The Euler Tour of n-Dimensional Manifold with Positive Genus

Cataranciuc Sergiu; Bujac Mariana; Soltan Petru

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2022-02-26 01:13

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CATARANCIUC, 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

The Euler Tour of n-Dimensional Manifold with Positive Genus

Pag. 110-113

Cataranciuc Sergiu, Bujac Mariana, Soltan Petru

Moldova State University

Disponibil în IBN: 6 decembrie 2013

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Rezumat

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.

Cuvinte-cheie
Abstract manifold, Abstract cube, directed Euler tour.,

vacuum

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