THE MULTIDIMENSIONAL DIRECTED EULER TOUROF CUBIC MANIFOLD
Date
2006
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Institutul de Matematică şi Informatică al AŞM
Abstract
n the paper [3] we tried to generalize the problem of existence of a di-rected (n−1)-dimensional Euler tour for the abstract directedn-dimensional manifold,which is acomplex of multi-ary relations[5], namely by means of abstract simplexes.In the paper [3] we show the existence of such kind of tour onlyfor manifolds of odddimension because we have not enough conditions to do more. In the present paperwe will show conditions of existence for a directed Euler tour of abstract manifoldswith even dimensions. In this purpose, we will introduce some new definitions whichpermit us to define manifolds by so-calledabstract cubes.
Description
Keywords
drected manifold, Euler tour, abstract cube, cubic manifold
Citation
BUJAC, Mariana. The Multidimensional Directed Euler Tour of Cubic Manifold. In: Buletinul Academiei de Ştiinţe a Moldovei. Matematica. 2006, nr. 1(50), pp. 15-22. ISSN BUJAC, Mariana. The Multidimensional Directed Euler Tour of Cubic Manifold. In: Buletinul Academiei de Ştiinţe a Moldovei. Matematica. 2006, nr. 1(50), pp. 15-22. ISSN 1024-7696.