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The Euler Tour of n-Dimensional Manifold with Positive Genus.
Authors: Cataranciuc Sergiu, Bujac-Leisz Mariana, Soltan Petru
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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.E-mail: , ,
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Contents
- Fuzzy subquasigroups with respect to a s-norm.
- Ideal Theory in Commutative Semirings.
- A closed form asymptotic solution for the FitzHugh-Nagumo model.
- Non-fundamental 2-isohedral tilings of the sphere.
- Discrete Optimal Control Problem with Varying Time of States Transactions of Dynamical System and Algorithm for its solving.
- Measure of quasistability of a vector integer linear programming problem with generalized principle of optimality in the Helder metric.
- Moments of the Markovian random evolutions in two and four dimensions.
- A virtual analog of Pollaczek-Khintchin transform equation.
- Resolvability of some special algebras with topologies.
- Groups with many hypercentral subgroups.
- The Euler Tour of n-Dimensional Manifold with Positive Genus.
- Symmetric random evolution in the space ℜ6.
- On numerical algorithms for solving multidimensional analogs of the Kendall functional equation.
- Classification of Aff(2, ℜ)-orbit's dimensions for quadratic differential system.
- Professor Mihail Popa - 60th anniversary.
- Academician Radu Miron - Eighty Years of Life and Sixty Years of Efforts.
