18 citations · 28 across the 18 of their papers we have counts for
21 papers
Introduction to the theory of digital spaces
Alexander V. Evako
This book provides an introduction to the theory of digital (molecular) spaces (TDS). Digital spaces are combinatorial models of continuous spaces. TDS is one of alternative branch…
Contractible_Spaces, Homotopy Equivalence and Homeomorphism in Digital Topology
Alexander Evako
This article provides a brief overview of the main results in the field of contractible digital spaces and contractible transformations of digital spaces and contains new results.…
Properties of Digital n-Dimensional Spheres and Manifolds. Separation of Digital Manifolds
Alexander V. Evako
In the present paper, we study basic properties of digital n-dimensional manifolds and digital simply connected spaces. An important property of a digital n-manifold is that M is a…
Graph Theoretical Models of Closed n-Dimensional Manifolds: Digital Models of a Moebius Strip, a Torus, a Projective Plane a Klein Bottle and n-Dimensional Spheres
Alexander V. Evako
In this paper, we show how to construct graph theoretical models of n-dimensional continuous objects and manifolds. These models retain topological properties of their continuous c…
Solution of the Hyperbolic Partial Differential Equation on Graphs and Digital Spaces: a Klein Bottle a Projective Plane and a 4D Sphere
Alexander V. Evako
In many cases, analytic solutions of partial differential equations may not be possible. For practical problems, it is more reasonable to carry out computational solutions. However…
Properties of Periodic Fibonacci-like Sequences
Alexander V. Evako
Generalized Fibonacci-like sequences appear in finite difference approximations of the Partial Differential Equations based upon replacing partial differential equations by finite…