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| Ultima descărcare din IBN: 2021-10-18 11:36 |
 SM ISO690:2012BUJAC, Mariana. The Multidimensional Directed Euler Tour
of Cubic Manifold. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2006, nr. 1(50), pp. 15-22. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 1(50) / 2006 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 15-22 | ||||||
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In the paper [3] we tried to generalize the problem of existence of a directed (n−1)-dimensional Euler tour for the abstract directed n-dimensional manifold, which is a complex of multi-ary relations [5], namely by means of abstract simplexes. In the paper [3] we show the existence of such kind of tour only for manifolds of odd dimension because we have not enough conditions to do more. In the present paper we will show conditions of existence for a directed Euler tour of abstract manifolds with even dimensions. In this purpose, we will introduce some new definitions which permit us to define manifolds by so-called abstract cubes. |
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| Cuvinte-cheie Abstract directed manifold, Euler tour, Abstract cube, abstract cubic complex, abstract cubic manifold, totally coherent manifold., vacuum |
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