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1

Uniform Partitions of 3-space, their Relatives and Embedding

Michel Deza, Mikhail Shtogrin

Journal:

European Journal of Combinatorics

Year:

2000

Language:

english

File:

PDF, 102 KB

english, 2000

2

On the structure of faces of three-dimensional polytopes

Shtogrin, Mikhail I

Journal:

Izvestiya Mathematics

Year:

2005

Language:

english

File:

PDF, 232 KB

english, 2005

3

Boris Nikolaevich Delone (on the occasion of his eightieth birthday)

Ryshkov, S S, Faddeev, D K, Shtogrin, Mikhail I

Journal:

Russian Mathematical Surveys

Year:

1971

Language:

english

File:

PDF, 1.83 MB

english, 1971

4

Scale-Isometric Polytopal Graphs in Hypercubes and Cubic Lattices (Polytopes in Hypercubes and Z n) || Semi-regular Polyhedra and Relatives of Prisms and Antiprisms

Deza, Michel, Grishukhin, Viatcheslav, Shtogrin, Mikhail

Year:

2004

Language:

english

File:

PDF, 364 KB

english, 2004

5

Tilings by hexagonal prisms and embeddings into primitive cubic networks

Bouniaev, Mikhail M., Dolbilin, Nikolay P., Shtogrin, Mikhail I.

Journal:

Acta Crystallographica Section A Foundations and Advances

Year:

2020

File:

PDF, 542 KB

2020

6

Filling of a given boundary by p-gons and related problems

Mathieu Dutour, Michel Deza, Mikhail Shtogrin

Journal:

Electronic Notes in Discrete Mathematics

Year:

2005

Language:

english

File:

PDF, 77 KB

english, 2005

7

Isometric embedding of mosaics into cubic lattices

Michel Deza, Mikhail Shtogrin

Journal:

Discrete Mathematics

Year:

2002

Language:

english

File:

PDF, 1.21 MB

english, 2002

8

Clusters of cycles

Michel Deza, Mikhail Shtogrin

Journal:

Journal of Geometry and Physics

Year:

2002

Language:

english

File:

PDF, 292 KB

english, 2002

9

On simplicial and cubical complexes with short links

Michel Deza, Mathieu Dutour, Mikhail Shtogrin

Journal:

Israel Journal of Mathematics

Year:

2004

File:

PDF, 999 KB

2004

10

Filling of a given boundary by p-gons and related problems

Mathieu Dutour Sikirić, Michel Deza, Mikhail Shtogrin

Journal:

Discrete Applied Mathematics

Year:

2008

Language:

english

File:

PDF, 2.02 MB

english, 2008

11

Degeneracy criterion for a convex polyhedron

Shtogrin, Mikhail I

Journal:

Russian Mathematical Surveys

Year:

2012

Language:

english

File:

PDF, 384 KB

english, 2012

12

Isometric embeddings of the surfaces of the Platonic solids

Shtogrin, Mikhail I

Journal:

Russian Mathematical Surveys

Year:

2007

Language:

english

File:

PDF, 179 KB

english, 2007

13

Types and boundary uniqueness of polypentagons

Deza, M, Shtogrin, Mikhail I

Journal:

Russian Mathematical Surveys

Year:

2006

Language:

english

File:

PDF, 1.04 MB

english, 2006

14

The two-dimensional Ising model and the Kac-Ward determinant

Dolbilin, N P, Zinov'ev, Yu M, Mishchenko, A S, Shtan'ko, M A, Shtogrin, Mikhail I

Journal:

Izvestiya Mathematics

Year:

1999

Language:

english

File:

PDF, 446 KB

english, 1999

15

Archimedean polycycles

Deza, M, Shtogrin, Mikhail I

Journal:

Russian Mathematical Surveys

Year:

2004

Language:

english

File:

PDF, 208 KB

english, 2004

16

Non-extendible finite polycycles

Deza, M, Shpectorov, S V, Shtogrin, Mikhail I

Journal:

Izvestiya Mathematics

Year:

2006

Language:

english

File:

PDF, 2.45 MB

english, 2006

17

New examples of generalized fullerenes

Deza, M, Shtogrin, Mikhail I

Journal:

Russian Mathematical Surveys

Year:

2009

Language:

english

File:

PDF, 234 KB

english, 2009

18

Piecewise smooth embedding of a cube

Shtogrin, Mikhail I

Journal:

Russian Mathematical Surveys

Year:

2004

Language:

english

File:

PDF, 1.58 MB

english, 2004

19

Elliptic polycycles with holes

Deza, M, Dutour, M, Shtogrin, Mikhail I

Journal:

Russian Mathematical Surveys

Year:

2005

Language:

english

File:

PDF, 123 KB

english, 2005

20

A criterion for the embeddability of ( r , q )-polycycles

Deza, M, Shtogrin, Mikhail I

Journal:

Russian Mathematical Surveys

Year:

2002

Language:

english

File:

PDF, 94 KB

english, 2002

21

Isometric immersions of a cone and a cylinder

Shtogrin, Mikhail I

Journal:

Izvestiya Mathematics

Year:

2009

Language:

english

File:

PDF, 509 KB

english, 2009

22

[Forum for Interdisciplinary Mathematics] Geometric Structure of Chemistry-Relevant Graphs Volume 1 ||

Deza, Michel-Marie, Sikirić, Mathieu Dutour, Shtogrin, Mikhail Ivanovitch

Year:

2015

Language:

english

File:

PDF, 9.62 MB

english, 2015

23

[Forum for Interdisciplinary Mathematics] Geometric Structure of Chemistry-Relevant Graphs Volume 1 || Goldberg–Coxeter Construction and Parametrization

Deza, Michel-Marie, Sikirić, Mathieu Dutour, Shtogrin, Mikhail Ivanovitch

Year:

2015

Language:

english

File:

PDF, 1.01 MB

english, 2015

24

Mosaics and their isometric embeddings

Deza, M, Shtogrin, Mikhail I

Journal:

Izvestiya Mathematics

Year:

2002

Language:

english

File:

PDF, 659 KB

english, 2002

25

Special isometric transformations of the surfaces of the Platonic solids

Shtogrin, Mikhail I

Journal:

Russian Mathematical Surveys

Year:

2005

Language:

english

File:

PDF, 1.02 MB

english, 2005

26

[Forum for Interdisciplinary Mathematics] Geometric Structure of Chemistry-Relevant Graphs Volume 1 || Zigzags of Fullerenes and $$c$$ c -Disk-Fullerenes

Deza, Michel-Marie, Sikirić, Mathieu Dutour, Shtogrin, Mikhail Ivanovitch

Year:

2015

Language:

english

File:

PDF, 1.39 MB

english, 2015

27

The Kac-Ward combinatorial method

Dolbilin, N P, Zinov'ev, Yu M, Shtan'ko, M A, Shtogrin, Mikhail I

Journal:

Russian Mathematical Surveys

Year:

1998

Language:

english

File:

PDF, 470 KB

english, 1998

28

Non-primitive polycycles and helicenes

Shtogrin, Mikhail I

Journal:

Russian Mathematical Surveys

Year:

2000

Language:

english

File:

PDF, 5.50 MB

english, 2000

29

Rigidity of a quadrillage of the pretzel

Shtogrin, Mikhail I

Journal:

Russian Mathematical Surveys

Year:

1999

Language:

english

File:

PDF, 356 KB

english, 1999

30

Primitive polycycles: a criterion

Shtogrin, Mikhail I

Journal:

Russian Mathematical Surveys

Year:

1999

Language:

english

File:

PDF, 170 KB

english, 1999

31

Polycycles: symmetry and embeddability

Deza, M, Shtogrin, Mikhail I

Journal:

Russian Mathematical Surveys

Year:

2000

Language:

english

File:

PDF, 546 KB

english, 2000

32

Infinite primitive polycycles

Deza, M, Shtogrin, Mikhail I

Journal:

Russian Mathematical Surveys

Year:

2000

Language:

english

File:

PDF, 267 KB

english, 2000

33

On rigidity of polyhedral spheres with even-angle faces

Dolbilin, N P, Shtan'ko, M A, Shtogrin, Mikhail I

Journal:

Russian Mathematical Surveys

Year:

1996

Language:

english

File:

PDF, 451 KB

english, 1996

34

Primitive polycycles and helicenes

Deza, M, Shtogrin, Mikhail I

Journal:

Russian Mathematical Surveys

Year:

1999

Language:

english

File:

PDF, 318 KB

english, 1999

35

Rigidity of a quadrillage of the torus

Dolbilin, N P, Shtan'ko, M A, Shtogrin, Mikhail I

Journal:

Russian Mathematical Surveys

Year:

1999

Language:

english

File:

PDF, 236 KB

english, 1999

36

Sergei Sergeevich Ryshkov (on his sixtieth birthday)

Baranovskii, E P, Dolbilin, N P, Makarov, V S, Mal'tsev, A A, Novikov, S P, Shtogrin, Mikhail I

Journal:

Russian Mathematical Surveys

Year:

1991

Language:

english

File:

PDF, 244 KB

english, 1991

37

The embedding of graphs in hypercubes and cubic lattices

Deza, M, Shtogrin, Mikhail I

Journal:

Russian Mathematical Surveys

Year:

1997

Language:

english

File:

PDF, 202 KB

english, 1997

38

THE PROBLEM OF PARAMETRIZATION OF CYCLES MODULO 2 IN A THREE-DIMENSIONAL CUBIC LATTICE

Dolbilin, N P, Shtan'ko, M A, Shtogrin, Mikhail I

Journal:

Mathematics of the USSR-Izvestiya

Year:

1989

Language:

english

File:

PDF, 1.39 MB

english, 1989

39

Scale-Isometric Polytopal Graphs in Hypercubes and Cubic Lattices (Polytopes in Hypercubes and Z n) || Polycycles and Other Chemically Relevant Graphs

Deza, Michel, Grishukhin, Viatcheslav, Shtogrin, Mikhail

Year:

2004

Language:

english

File:

PDF, 308 KB

english, 2004

40

Scale-Isometric Polytopal Graphs in Hypercubes and Cubic Lattices (Polytopes in Hypercubes and Z n) || Special ℓ 1 -graphs

Deza, Michel, Grishukhin, Viatcheslav, Shtogrin, Mikhail

Year:

2004

Language:

english

File:

PDF, 693 KB

english, 2004

41

Scale-Isometric Polytopal Graphs in Hypercubes and Cubic Lattices (Polytopes in Hypercubes and Z n) || Small Polyhedra

Deza, Michel, Grishukhin, Viatcheslav, Shtogrin, Mikhail

Year:

2004

Language:

english

File:

PDF, 121 KB

english, 2004

42

Scale-Isometric Polytopal Graphs in Hypercubes and Cubic Lattices (Polytopes in Hypercubes and Z n) || Uniform Partitions of 3-space and Relatives

Deza, Michel, Grishukhin, Viatcheslav, Shtogrin, Mikhail

Year:

2004

Language:

english

File:

PDF, 343 KB

english, 2004

43

Scale-Isometric Polytopal Graphs in Hypercubes and Cubic Lattices (Polytopes in Hypercubes and Z n) || An Example: Embedding of Fullerenes

Deza, Michel, Grishukhin, Viatcheslav, Shtogrin, Mikhail

Year:

2004

Language:

english

File:

PDF, 317 KB

english, 2004

44

Scale-Isometric Polytopal Graphs in Hypercubes and Cubic Lattices (Polytopes in Hypercubes and Z n) || Some Generalization of ℓ 1 -embedding

Deza, Michel, Grishukhin, Viatcheslav, Shtogrin, Mikhail

Year:

2004

Language:

english

File:

PDF, 411 KB

english, 2004

45

Scale-Isometric Polytopal Graphs in Hypercubes and Cubic Lattices (Polytopes in Hypercubes and Z n) || Regular Tilings and Honeycombs

Deza, Michel, Grishukhin, Viatcheslav, Shtogrin, Mikhail

Year:

2004

Language:

english

File:

PDF, 366 KB

english, 2004