THE EULER TOUR OFN-DIMENSIONAL MANIFOLDWITH POSITIVE GENUS
Date
2008
Journal Title
Journal ISSN
Volume Title
Publisher
Institutul de Matematică şi Informatică al AŞM
Abstract
In the paper [1] it is proved that abstract cubicn-dimensional torus[2] possesses a directed Euler tour of the same dimension. The result prompts toa new (virtual) device for transmission and reception of information. In the presentpaper it is shown that every abstract cubicn-dimensional manifold without borders, ofpositive genus possesses an-dimensional directed Euler tour. This result has practicalapplication.
Description
Keywords
abstract manifold, abstract cube, vacuum, directed Eulertour
Citation
CATARANCIUC, Sergiu, BUJAC, Mariana, SOLTAN, Petru. The Euler Tour of n-Dimensional Manifold with Positive Genus. In: Buletinul Academiei de Ştiinţe a Moldovei. Matematica. 2008, nr. 2(57), pp. 110-113. ISSN 1024-7696.