Alexander V. Evako

Publication Activity (10 Years)

Years Active: 1995-2022
Publications (10 Years): 11

Top Topics

Eikonal Equation

Euclidean Space

Topology Preserving

Digital Topology

Top Venues

Discret. Appl. Math.

Publications

Alexander V. Evako
Contractible_Spaces, Homotopy Equivalence and Homeomorphism in Digital Topology. CoRR (2022)
Alexander V. Evako
Properties of Digital n-Dimensional Spheres and Manifolds. Separation of Digital Manifolds. CoRR (2017)
Alexander V. Evako
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. CoRR (2017)
Alexander V. Evako
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. CoRR (2017)
Alexander V. Evako
Properties of Periodic Fibonacci-like Sequences. CoRR (2017)
Alexander V. Evako
Solution of the Hyperbolic Partial Differential Equation on Graphs and Digital Spaces: a Klein Bottle a Projective Plane and a 4D Sphere. CoRR (2017)
Alexander V. Evako
Parabolic equations on digital spaces. Solutions on the digital Moebius strip and the digital projective plane. CoRR (2015)
Alexander V. Evako
Classification of graphs using contractible transformations. Homotopy equivalence of graphs. Basic representatives and complexity of homotopy equivalence classes. CoRR (2015)
Alexander V. Evako
Topology-preserving digitization of n-dimensional objects by constructing cubical models. CoRR (2015)
Alexander V. Evako
Classification of digital n-manifolds. Discret. Appl. Math. 181 (2015)
Alexander V. Evako
Properties of simple sets in digital spaces. Contractions of simple sets preserving the homotopy type of a digital space. CoRR (2015)
Alexander V. Evako
Topology preserving representations of compact 2D manifolds by digital 2-surfaces. Compressed digital models and digital weights of compact 2D manifolds. Classification of closed surfaces by digital tools. CoRR (2014)
Alexander V. Evako
Simple pairs of points in digital spaces. Topology-preserving transformations of digital spaces by contracting simple pairs of points. CoRR (2014)
Alexander V. Evako
Classification of digital n-manifolds. CoRR (2014)
Alexander V. Evako
Variable density preserving topology grids and the digital models for the plane CoRR (2013)
Alexander V. Evako
The Jordan-Brouwer theorem for the digital normal n-space Zn CoRR (2013)
Alexander V. Evako
On digital simply connected spaces and manifolds: a digital simply connected 3-manifold is the digital 3-sphere. CoRR (2013)
Alexander V. Evako
Characterizations of simple points, simple edges and simple cliques of digital spaces: One method of topology-preserving transformations of digital spaces by deleting simple points and edges. Graph. Model. 73 (1) (2011)
Alexander V. Evako
Topological properties of closed digital spaces: One method of constructing digital models of closed continuous surfaces by using covers. Comput. Vis. Image Underst. 102 (2) (2006)
Alexander V. Evako
The Poincare conjecture for digital spaces. Properties of digital n-dimensional disks and spheres CoRR (2006)
Alexander V. Evako
Connection between continuous and digital n-manifolds and the Poincare conjecture CoRR (2006)
Alexander V. Evako
The consistency principle for a digitization procedure. An algorithm for building normal digital spaces of continuous n-dimensional objects CoRR (2005)
Alexander V. Evako, Ralph Kopperman, Yurii V. Mukhin
Dimensional properties of graphs and digital spaces. J. Math. Imaging Vis. 6 (2-3) (1996)
Alexander V. Evako
Topological properties of the intersection graph of covers of n-dimensional surfaces. Discret. Math. 147 (1-3) (1995)