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IMI/Publicaţii/BASM/Ediţii/BASM n.2 (57), 2008/

The Euler Tour of n-Dimensional Manifold with Positive Genus.

Authors: Cataranciuc Sergiu, Bujac-Leisz Mariana, Soltan Petru

Abstract

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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