18 citations · 28 across the 18 of their papers we have counts for
14 papers · 1 filter
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…
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…
Structure of a Parabolic Partial Differential Equation on Graphs and Digital spaces. Solution of PDE on Digital Spaces: a Klein Bottle, a Projective Plane, a 4D Sphere and a Moebius Band
Alexander V. Evako
This paper studies the structure of a parabolic partial differential equation on graphs and digital n-dimensional manifolds, which are digital models of continuous n-manifolds. Con…
Classification of graphs based on homotopy equivalence. Homotopy equivalent graphs. Basic graphs and complexity of homotopy equivalence classes of graphs
Alexander V. Evako
Graph classification plays an important role is data mining, and various methods have been developed recently for classifying graphs. In this paper, we propose a novel method for g…
Parabolic equations on digital spaces. Solutions on the digital Moebius strip and the digital projective plane
Alexander V. Evako
In this work, we define a parabolic equation on digital spaces and study its properties. The equation can be used in investigation of mechanical, aerodynamic, structural and techno…