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Alexander V. Evako
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2020 – today
- 2022
- [i19]Alexander V. Evako:
Contractible_Spaces, Homotopy Equivalence and Homeomorphism in Digital Topology. CoRR abs/2207.09730 (2022)
2010 – 2019
- 2017
- [i18]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 abs/1701.05232 (2017) - [i17]Alexander V. Evako:
Properties of Periodic Fibonacci-like Sequences. CoRR abs/1701.08566 (2017) - [i16]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 abs/1705.01532 (2017) - [i15]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 abs/1705.02878 (2017) - [i14]Alexander V. Evako:
Properties of Digital n-Dimensional Spheres and Manifolds. Separation of Digital Manifolds. CoRR abs/1712.06108 (2017) - 2015
- [j5]Alexander V. Evako:
Classification of digital n-manifolds. Discret. Appl. Math. 181: 289-296 (2015) - [i13]Alexander V. Evako:
Properties of simple sets in digital spaces. Contractions of simple sets preserving the homotopy type of a digital space. CoRR abs/1503.03491 (2015) - [i12]Alexander V. Evako:
Topology-preserving digitization of n-dimensional objects by constructing cubical models. CoRR abs/1506.02678 (2015) - [i11]Alexander V. Evako:
Parabolic equations on digital spaces. Solutions on the digital Moebius strip and the digital projective plane. CoRR abs/1507.08109 (2015) - [i10]Alexander V. Evako:
Classification of graphs using contractible transformations. Homotopy equivalence of graphs. Basic representatives and complexity of homotopy equivalence classes. CoRR abs/1512.07989 (2015) - 2014
- [i9]Alexander V. Evako:
Classification of digital n-manifolds. CoRR abs/1412.0134 (2014) - [i8]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 abs/1412.0143 (2014) - [i7]Alexander V. Evako:
Simple pairs of points in digital spaces. Topology-preserving transformations of digital spaces by contracting simple pairs of points. CoRR abs/1412.0218 (2014) - 2013
- [i6]Alexander V. Evako:
Variable density preserving topology grids and the digital models for the plane. CoRR abs/1302.3809 (2013) - [i5]Alexander V. Evako:
The Jordan-Brouwer theorem for the digital normal n-space Zn. CoRR abs/1302.5342 (2013) - [i4]Alexander V. Evako:
On digital simply connected spaces and manifolds: a digital simply connected 3-manifold is the digital 3-sphere. CoRR abs/1307.1371 (2013) - 2011
- [j4]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): 1-9 (2011)
2000 – 2009
- 2006
- [j3]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): 134-144 (2006) - [i3]Alexander V. Evako:
The Poincare conjecture for digital spaces. Properties of digital n-dimensional disks and spheres. CoRR abs/cs/0604004 (2006) - [i2]Alexander V. Evako:
Connection between continuous and digital n-manifolds and the Poincare conjecture. CoRR abs/cs/0608093 (2006) - 2005
- [i1]Alexander V. Evako:
The consistency principle for a digitization procedure. An algorithm for building normal digital spaces of continuous n-dimensional objects. CoRR abs/cs/0511064 (2005)
1990 – 1999
- 1996
- [j2]Alexander V. Evako, Ralph Kopperman, Yurii V. Mukhin:
Dimensional properties of graphs and digital spaces. J. Math. Imaging Vis. 6(2-3): 109-119 (1996) - 1995
- [j1]Alexander V. Evako:
Topological properties of the intersection graph of covers of n-dimensional surfaces. Discret. Math. 147(1-3): 107-120 (1995)
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