Dolbilin Nikolai Petrovich

Total publications: 87
Scientific articles: 69
in MathSciNet: 58
in zbMATH: 53
in Web of Science: 30
in Scopus: 28
Cited articles: 41
Citations in Math-Net.Ru: 122
Citations in MathSciNet: 136
Citations in Web of Science: 108
Citations in Scopus: 95
Presentations: 13

Number of views:
This page:5501
Abstract pages:7221
Full texts:1923
Dolbilin Nikolai Petrovich
Doctor of physico-mathematical sciences (2000)
Speciality: 01.01.04 (Geometry and topology)
Keywords: lattices and tilings of space, crystals and quasicrystals, aperiodic tilings, polytopes, Rigid and flexible polyhedra, Ising model, mathematics education.


1960–1965 – Department of Mechanics and Mathematics, Moscow State University;

1966– 1969 – graduateship of Steklov Mathematics Institute, Geometry Department;

1969 – present &ndash, leading scientific fellow, Steklov Mathematical Institute of RAS, Department of Geometry and Topology, Laboratory of Popularization and Promotion of Mathematics

Main publications:
  • A local criterion for regularity of a system of points // Soviet Math. Dokl., 17, 1976, 319–322 (with B. N. Delone, M. I. Stogrin, and R. V. Galiulin).
  • A local criterion for regularity of a system of points // Soviet Math. Dokl., 17, 1976, 319–322 (with B. N. Delone, M. I. Stogrin, and R. V. Galiulin).
  • The Countability of a Tiling Family and the Periodicity of Tiling // Discr. and Comput. Geometry, 13, 1995, 405–414.
  • The Extension Theorem // Discrete Mathematics, 221(1–3), 2000, 43–60.
  • The two-dimensional Ising model and the Kac–Ward determinant // Izvestiya of Russian Academy of Sciences, Mathematics, 63(4), 1999, 707–727 (jointly with Ju. M. Zinoviev, A. S. Mischenko, M. A. Stan'ko, and M. I. Stogrin).
  • Multiregular point systems // Discr. and Comput. Geometry, 20, 1998, 477–498 (jointly with J. C. Lagarias and M. Seneshal).
List of publications on Google Scholar

Full list of publications:
| by years | by types | by times cited | scientific publications | common list |

1. Mikhail Bouniaev, Nikolai Dolbilin, “Regular and Multiregular $t$-Systems”, J. Inform. Proc., 25 (2017), 735–740  mathnet  crossref

2. M. M. Bouniaev, N. P. Dolbilin, O. R. Musin, A. S. Tarasov, “Geometrical problems related to crystals, fullerenes, and nanoparticle structure” (Singapore, February 3–4, 2014), Springer Proc. Math. Statist., 124, 2016, 139–151  mathnet  crossref  mathscinet  zmath  elib  scopus
3. Nikolay Dolbilin, “Delone Sets: Local Identity and Global Order”, Volume dedicated to the 60th anniversary of Professors Karoly Bezdek and Egon Schulte, Springer Contributed Volume on Discrete Geometry and Symmetry, Springer, 2016 (to appear) , arXiv: 1608.06842
4. N. P. Dolbilin, A. N. Magazinov, “Uniqueness theorem for locally antipodal Delaunay sets”, Proc. Steklov Inst. Math., 294 (2016), 215–221  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
5. Nikolay Dolbilin, “Delone sets with congruent clusters”, Structural Chemistry, 26:6, Dedicated to the 75th anniversary of academician V. Ya. Schevchenko (2016), 1725–1732  mathnet  crossref  isi  elib  scopus
6. Nikolai Dolbilin, Nikolai Andreev, Sergei Konovalov, Nikita Panyunin, “Mathematical Etudes: Evolution from Multimedia to a Book”, Eur. Math. Soc. Newsl., 2016, no. 12, 38–43  mathnet  crossref  zmath

7. N. P. Dolbilin, “Kriterii kristalla i lokalno antipodalnye mnozhestva Delone”, Trudy Mezhdunarodnoi konferentsii “Kvantovaya topologiya”, Vestnik ChelGU, no. 3 (358), 2015, 6–17  mathnet (cited: 1)  elib (cited: 2)
8. N. P. Dolbilin, A. N. Magazinov, “Locally antipodal Delaunay sets”, Russian Math. Surveys, 70:5 (2015), 958–960  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib  scopus (cited: 1)
9. N. P. Dolbilin, “The Minkowski Theorem on Parallelohedra and Its Recent Development”, Toric Topology, Number Theory and Applications. Conference Proceedings (Khabarovsk, 6–12 September 2015), Tikhookeanskii gosudarstvennyi universitet, Khabarovsk, 2015, 21–22  elib
10. N. P. Dolbilin, “Geometricheskaya kristallografiya”: N. N. Andreev, S. P. Konovalov, N. M. Panyunin (red.-sost.), v knige “Matematicheskaya sostavlyayuschaya”, Fond “Matematicheskie etyudy”, M., 2015, 110–117

11. N. P. Dolbilin, H. Edelsbrunner, A. A. Glazyrin, O. R. Musin, “Functionals on Delaunay triangulations”, Mosc. Math. J., 14:3 (2014), 491–504  mathnet (cited: 1)  mathscinet  zmath  isi  elib (cited: 1)  scopus (cited: 1)
12. M. Bouniaev, N. Dolbilin, O. Musin, A. Tarasov, “Two groups of geometrical problems related to study of fullerenes & crystals”, Journal of Mathematics, Statistics and Operations Research, 2:2 (2014), 7–22  mathnet  crossref
13. Gyunter M. Tsigler, Teoriya mnogogrannikov, perevod s angliiskogo pod redaktsiei N. P. Dolbilina, MTsNMO, M., 2014 , 565 pp., Predislovie redaktora perevoda
14. N. N. Andreev, N. P. Dolbilin, S. P. Konovalov, N. M. Panyunin, “Mathematical Etudes: A Russian Tradition in New Form”, Math. Intell., 36:3 (2014), 47–52  mathnet  crossref  zmath  isi  elib  scopus

15. N. Dolbilin, Jin-ichi Itoh, Chie Nara, “Affine classes of 3-dimensional parallelohedra - Their parametrization”, Computational geometry and graphs, Lecture Notes in Computer Science, 8296, eds. J. Akiyama, M. Kano, T. Sakai, Springer-Verlag, Berlin–Heidelberg, 2013, 64–72  mathnet  crossref  zmath  scopus
16. N. P. Dolbilin, “Delone Sets and Polyhedral Tilings: Local Rules and Global Order”, 10 International Symposium on Voronoi Diagrams in Science (ISVD 2013), Program and Abstracts (Saint Petersburg, July 8–10, 2013), St. Petersburg Academic University, 2013, 3  crossref
17. N. Dolbilin, “Parallelohedra: from Minkowski and Voronoi to the present day”, The 2nd Pasific Rim Mathematical Association Congress, Program and Abstracts (June 24–28, 2013, Shanghai, China), Shanghai Jiao Tong University, Shanghai, 2013, 9–10
18. M. Bouniaev, N. Dolbilin, “Local rules and global order in crystals”, XII International Symposium on Self-propagating High-Temperature Synthesis, Book of Abstracts (21–24 October, 2013, South Padre Island, Texas, USA), University of Texas at Brownsvill, 2013, 306–307
19. M. Bouniaev, N. Dolbilin, “Local Rules as the Mechanism of Global Order Formation in Crystals”, Fifth International Conference on Analytic Number Theory and Spatial Tessellations, devoted to the development of a scientic heritage of G. Voronoi (1868–1908) (Kyiv, National Pedagogical Dragomanov University, 16–20 September, 2013), Institute of Mathematics, NAS of Ukraine, Kyiv, 2013, 60–61
20. N. P. Dolbilin, “Parallelohedra and the Voronoi Conjecture”, Algebraic Topology and Abelian Functions. Abstracts, Conference in honour of Victor Buchstaber on the occasion of his 70th birthday (Moscow, Steklov Mathematical Institute of RAS, 18–22 June 2013), Steklov Mathematical Institute, 2013, 37–38

21. N. P. Dolbilin, O. R. Musin, H. Edelsbrunner, “On the optimality of functionals over triangulations of Delaunay sets”, Russian Math. Surveys, 67:4 (2012), 781–783  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
22. N. P. Dolbilin, Trans. Moscow Math. Soc., 2012, 207–220  mathnet  crossref  mathscinet  zmath  elib  scopus (cited: 2)
23. N. Dolbilin, H. Edelsbrunner, A. Ivanov, O. Musin, “The First Yaroslavl Summer School on Discrete and Computational Geometry”, Model. Anal. Inform. Sist., 19:4 (2012), 168–173  mathnet  elib
24. N. Dolbilin, H. Edelsbrunner, A. Ivanov, O. Musin, M. Nevskii, “Yaroslavl International Conference on Discrete Geometry (dedicated to the centenary of A. D. Alexandrov)”, Model. i analiz inform. sistem., 19:6 (2012), 92–100  mathnet  elib

25. N. Dolbilin, Jin-ichi Itoh, Chie Nara, “Affine equivalent classes of parallelohedra”, Computational geometry, graphs and applications, 9th International conference, CGGA 2010 (Dalian, China, November 3–6, 2010), Revised selected papers, Lecture Notes in Comput. Sci., 7053, eds. Jin Akiyama, et al., Springer, Heidelberg, 2011, 55–60  crossref  mathscinet (cited: 2)  zmath  isi (cited: 3)  elib (cited: 2)  scopus (cited: 5)
26. N. Dolbilin, “Local rules and global order”, Foundations in crystallography, Abstracts of the XXII International Union of Crystallography (Madrid, Spain, 22–30 August 2011), Acta Crystalloographica, A67, Wiley, New York, 2011, 184–185
27. N. P. Dolbilin, “Boris Nikolaevich Delone (Delaunay): life and work”, Proc. Steklov Inst. Math., 275 (2011), 1–14  mathnet  crossref  mathscinet  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 1)

28. N. Dolbilin, D. Frettlöh, “Properties of Böröczky tilings in high-dimensional hyperbolic spaces”, European J. Combin., 31:4 (2010), 1181–1195 , arXiv: 0705.0291  crossref  mathscinet (cited: 2)  zmath  isi (cited: 2)  elib (cited: 2)  scopus (cited: 2)
29. N. P. Dolbilin, M. A. Kozachok, “Polytopes with centrally symmetric faces”, Chebyshev Sb., XI:1(33) (2010), 109–115  mathnet  mathscinet  zmath  elib
30. N. P. Dolbilin, “Mnogogrannyi Delone”, Kvant, 1–2 (2010), 2–7, 2–9

31. N. P. Dolbilin, “Properties of Faces of Parallelohedra”, Proc. Steklov Inst. Math., 266 (2009), 105–119  mathnet  crossref  mathscinet  zmath  isi (cited: 6)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 4)
32. N. Dolbilin, E. Schulte, “A local characterization of combinatorial multihedrality in tilings”, Contrib. Discrete Math., 4:1 (2009), 1–11 , arXiv: 0809.2291  mathscinet  zmath  adsnasa

33. N. P. Dolbilin, “The Voronoi problem and the Minkowski theorems on parallelohedra”, Numerical geometry, grid generation and high performance computing, Russ. Acad. Sci., Dorodnicyn Comput. Cent., Moscow, 2008, 190–195  mathscinet
34. N. Dolbilin, M. Tanemura, “Voronoi tilings on the Clifford torus in a 3-sphere”, Voronoi's impact on the modern science 4, v. 1, NAN of Ukraine, Kyiv, 2008, 210–219
35. N. Dolbilin, E. Schulte, “Special issue in honor of Ludwig Danzer's 80th birthday (Foreword)”, European J. Combin., 29:8 (2008), 1801–1802  crossref  mathscinet  zmath  isi  elib  scopus
36. V. A. Aleksandrov, Yu. A. Aminov, V. M. Buchstaber, V. A. Vassiliev, N. P. Dolbilin, S. P. Novikov, Yu. G. Reshetnyak, V. A. Sadovnichii, V. T. Fomenko, “Idzhad Khakovich Sabitov (on his 70th birthday)”, Russian Math. Surveys, 63:6 (2008), 1173–1177  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

37. N. P. Dolbilin, “Minkowski's theorems on parallelohedra and their generalisations”, Russian Math. Surveys, 62:4 (2007), 793–795  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)

38. N. Dolbilin, M. Tanemura, “How many facets on average can a tile have in a tiling?”, Forma, 21:3 (2006), 177–196  mathscinet (cited: 1)
39. N. P. Dolbilin, A. A. Maltsev, “Sergei Sergeevich Ryshkov”, Chebyshevskii sb., 7:2(18) (2006), 4–12  mathscinet  zmath

40. N. Dolbilin, M. Tanemura, “On tilings whose tiles have many facets”, Rev. Roumaine Math. Pures Appl., 50:5-6 (2005), 595–611  mathscinet  zmath

41. N. Dolbilin, E. Schulte, “The local theorem for monotypic tilings”, Electron. J. Combin., 11:2 (2004), Research Paper 7 , 19 pp.  mathscinet (cited: 2)  zmath

42. N. P. Dolbilin, V. S. Makarov, “Extension Theorem in the Theory of Isohedral Tilings and Its Applications”, Proc. Steklov Inst. Math., 239 (2002), 136–158  mathnet  mathscinet  zmath
43. E. P. Baranovskii, N. P. Dolbilin, A. A. Mal'tsev, “Sergei Sergeevich Ryshkov (On his 70th Birthday)”, Proc. Steklov Inst. Math., 239 (2002), 1–12  mathnet  mathscinet  zmath

44. N. Dolbilin, “Tri teoremy o vypuklykh mnogogrannikakh”, Kvant, 5,6 (2001), 7–12, 3–10

45. N. P. Dolbilin, “The extension theorem”, Discrete Math., 221:1-3, Selected papers in honor of Ludwig Danzer (2000), 43–59  crossref  mathscinet (cited: 5)  zmath  isi (cited: 6)  elib (cited: 9)  scopus (cited: 7)
46. N. Dolbilin, “Self-similar mosaics”, Quantum, 10:6 (2000), 4–9  mathscinet
47. N. P. Dolbilin, Pearls of the theory of polyhedra, Mathematical Enlighting Library, 5, Moscow Center of Continuous Education Center Publishing House, Moscow, 2000 , 40 pp.

48. N. P. Dolbilin, Yu. M. Zinoviev, A. S. Mishchenko, M. A. Shtan'ko, M. I. Shtogrin, “The two-dimensional Ising model and the Kac–Ward determinant”, Izv. Math., 63:4 (1999), 707–727  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
49. N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Rigidity of a quadrillage of the torus”, Russian Math. Surveys, 54:4 (1999), 839–840  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  elib (cited: 1)  scopus (cited: 2)
50. N. P. Dolbilin, Yu. M. Zinoviev, A. S. Mishchenko, M. A. Shtan'ko, M. I. Shtogrin, “The Kac–Ward Determinant”, Proc. Steklov Inst. Math., 225 (1999), 165–182  mathnet  mathscinet  zmath

51. N. P. Dolbilin, J. C. Lagarias, M. Senechal, “Multiregular point systems”, Discrete Comput. Geom., 20:4 (1998), 477–498  crossref  mathscinet (cited: 13)  zmath  isi (cited: 24)  elib (cited: 23)  scopus (cited: 25)
52. N. P. Dolbilin, “Rigidity of convex polyhedrons”, Quantum, 9:1 (1998), 8–13  mathscinet
53. D. Schattschneider, N. Dolbilin, “One corona is enough for the Euclidean plane”, Quasicrystals and discrete geometry (Toronto, ON, 1995), Fields Inst. Monogr., 10, Amer. Math. Soc., Providence, RI, 1998, 207–246  mathscinet (cited: 5)  zmath
54. N. Dolbilin, D. Schattschneider, “The local theorem for tilings”, Quasicrystals and discrete geometry (Toronto, ON, 1995), Fields Inst. Monogr., 10, Amer. Math. Soc., Providence, RI, 1998, 193–199  mathscinet (cited: 5)  zmath
55. N. P. Dolbilin, A. W. M. Dress, D. H. Huson, “Two finiteness theorems for periodic tilings of $d$-dimensional Euclidean space”, Discrete Comput. Geom., 20:2 (1998), 143–153  crossref  mathscinet (cited: 1)  zmath  isi (cited: 1)  elib (cited: 1)  scopus (cited: 2)
56. N. P. Dolbilin, Yu. M. Zinoviev, M. A. Shtan'ko, M. I. Shtogrin, “The Kac–Ward combinatorial method”, Russian Math. Surveys, 53:6 (1998), 1346–1347  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  scopus (cited: 3)
57. N. P. Dolbilin, “Which clusters can form a crystal?”, Voronoi's impact on modern science, Book 2, eds. P. Engel (Switzerland), H. Syta (Ukraine), Institute of Mathematics of National Academy of Sciences of Ukraine, Kyiv, 1998, 96–104  zmath

58. N. P. Dolbilin, D. H. Huson, “Periodic Delone tilings”, 3rd Geometry Festival: an International Conference on Packings, Coverings and Tilings (Budapest, 1996), Period. Math. Hungar., 34, no. 1-2, 1997, 57–64  crossref  mathscinet (cited: 2)  zmath  elib (cited: 2)  scopus (cited: 10)
59. N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Nonbendability of a division of a sphere into squares”, Dokl. Math., 55:3 (1997), 385–387  mathnet  mathscinet  zmath  isi  scopus (cited: 2)
60. L. Danzer, N. Dolbilin, “Delone graphs; some species and local rules”, The mathematics of long-range aperiodic order (Waterloo, ON, 1995), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 489, Kluwer Acad. Publ., Dordrecht, 1997, 85–114  mathscinet (cited: 4)  zmath
61. N.P. Dolbilin, “Igra “Khaos” i fraktaly”, Kvant, 4 (1997), 2–9

62. N. P. Dolbilin, Yu. M. Zinoviev, A. S. Mishchenko, M. A. Shtan'ko, M. I. Shtogrin, “Homological Properties of Dimer Configurations for Lattices on Surfaces”, Funct. Anal. Appl., 30:3 (1996), 163–173  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 11)  elib (cited: 10)  scopus (cited: 11)
63. N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “On rigidity of polyhedral spheres with even-angle faces”, Russian Math. Surveys, 51:3 (1996), 543–544  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  scopus (cited: 1)
64. N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Rigidity of zonohedra”, Russian Math. Surveys, 51:2 (1996), 326–328  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  scopus

65. N. Dolbilin, “The countability of a tiling family and the periodicity of a tiling”, Discrete Comput. Geom., 13:3-4 (1995), 405–414  crossref  mathscinet (cited: 2)  zmath  isi (cited: 4)  elib (cited: 3)  scopus (cited: 5)

66. N. P. Dolbilin, M. A. Shtanko, M. I. Shtogrin, “Kubicheskie mnogoobraziya v reshëtkakh”, Izv. RAN. Ser. matem., 58:2 (1994), 93–107  mathnet (cited: 13)  mathscinet (cited: 12)  zmath  adsnasa; N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Cubic manifolds in lattices”, Russian Acad. Sci. Izv. Math., 44:2 (1995), 301–313  crossref  mathscinet  zmath  isi (cited: 8)

67. N. P. Dolbilin, M. A. Shtanko, M. I. Shtogrin, “Kvadrilyazhi i parametrizatsii reshetchatykh tsiklov”, Topologiya i ee prilozheniya, Trudy Mezhdunarodnoi topologicheskoi konferentsii (Baku, 3–8 oktyabrya 1987 g.), Tr. MIAN SSSR, 193, Nauka, M., 1992, 108–114  mathnet (cited: 1)  mathscinet  zmath; N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Quadrillages and parametrizations of lattice cycles”, Proc. Steklov Inst. Math., 193 (1993), 117–123  mathscinet  zmath

68. N. P. Dolbilin, M. A. Shtanko, M. I. Shtogrin, “Kvadrilyazhi i parametrizatsii reshetchatykh tsiklov”, Diskretnaya geometriya i topologiya, K 100-letiyu so dnya rozhdeniya Borisa Nikolaevicha Delone, Tr. MIAN SSSR, 196, Nauka, M., 1991, 66–85  mathnet (cited: 4)  mathscinet (cited: 2)  zmath; N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Quadrillages and parametrizations of lattice cycles”, Proc. Steklov Inst. Math., 196 (1992), 73–93  mathscinet  zmath
69. N. P. Dolbilin, M. A. Shtanko, M. I. Shtogrin, “Kombinatornye voprosy dvumernoi modeli Izinga”, Diskretnaya geometriya i topologiya, K 100-letiyu so dnya rozhdeniya Borisa Nikolaevicha Delone, Tr. MIAN SSSR, 196, Nauka, M., 1991, 51–65  mathnet (cited: 5)  mathscinet (cited: 1)  zmath; N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Combinatorial questions of the two-dimensional Ising model”, Proc. Steklov Inst. Math., 196 (1992), 57–72  mathscinet  zmath
70. E. P. Baranovskii, N. P. Dolbilin, V. S. Makarov, A. A. Mal'tsev, S. P. Novikov, M. I. Shtogrin, “Sergei Sergeevich Ryshkov (on his sixtieth birthday)”, Russian Math. Surveys, 46:3 (1991), 263–266  mathnet  crossref  mathscinet  adsnasa  isi
71. D. K. Faddeev, N. P. Dolbilin, S. S. Ryshkov, M. I. Shtogrin, “Boris Nikolaevich Delone (o zhizni i tvorchestve)”, Diskretnaya geometriya i topologiya, K 100-letiyu so dnya rozhdeniya Borisa Nikolaevicha Delone, Tr. MIAN SSSR, 196, Nauka, M., 1991, 3–10  mathnet  mathscinet  zmath; D. K. Faddeev, N. P. Dolbilin, S. S. Ryshkov, M. I. Shtogrin, “Boris Nikolaevich Delone. On his life and creative work”, Proc. Steklov Inst. Math., 196 (1992), 1–9  mathscinet  zmath

72. N. P. Dolbilin, “Boris Nikolaevich Delone (on the centennial of his birth)”, Matematika v shkole, 1990, no. 1, i, 68–70  mathscinet

73. I. Bárány, N. P. Dolbilin, “A stability property of the densest circle packing”, Monatsh. Math., 106:2 (1988), 107–114  crossref  mathscinet (cited: 2)  zmath  isi (cited: 4)  scopus (cited: 5)
74. N. P. Dolbilin, M. A. Shtanko, M. I. Shtogrin, “Problema parametrizatsii tsiklov po modulyu 2 v trekhmernoi kubicheskoi reshetke”, Izv. AN SSSR. Ser. matem., 52:2 (1988), 355–377  mathnet (cited: 3)  mathscinet (cited: 2)  zmath  isi; N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “The problem of parametrization of cycles modulo 2 in a three-dimensional cubic lattice”, Math. USSR-Izv., 32:2 (1989), 359–383  crossref  mathscinet  zmath  isi
75. N. P. Dolbilin, “Zhestkost vypuklykh mnogogrannikov”, Kvant, 5 (1988), 6–14

76. N. P. Dolbilin, “A characteristic of lattices and the inhomogeneous Minkowski problem”, Studia Sci. Math. Hungar., 22:1-4 (1987), 107–113  mathscinet  zmath
77. N. P. Dolbilin, A. G. Sedrakyan, M. A. Shtanko, M. I. Shtogrin, “Topologiya semeistva parametrizatsii dvumernykh tsiklov, voznikayuschikh v trekhmernoi modeli Izinga”, Dokl. AN SSSR, 295:1 (1987), 19–23  mathnet (cited: 4)  mathscinet (cited: 3)  zmath  isi (cited: 6); N. P. Dolbilin, A. G. Sedrakyan, M. A. Shtan'ko, M. I. Shtogrin, “A topology for the family of parametrizations of two-dimensional cycles arising in the three-dimensional Ising model”, Soviet Math. Dokl., 36:1 (1988), 11–15  mathscinet  zmath  isi (cited: 6)

78. N. P. Dolbilin, M. A. Shtanko, M. I. Shtogrin, “Kubicheskie podkompleksy v pravilnykh reshetkakh”, Dokl. AN SSSR, 291:2 (1986), 277–279  mathnet (cited: 7)  mathscinet (cited: 5)  isi (cited: 5)
79. N. P. Dolbilin, “Pik Delone”, Kvant, 3 (1986), 10–16

80. B. N. Delone, N. P. Dolbilin, M. I. Shtogrin, “Kombinatornaya i metricheskaya teoriya planigonov”, Algebra, teoriya chisel i ikh prilozheniya, Tr. MIAN SSSR, 148, 1978, 109–140  mathnet (cited: 5)  mathscinet (cited: 3)  zmath; B. N. Delone, N. P. Dolbilin, M. I. Shtogrin, “Combinatorial and metric theory of planigons”, Proc. Steklov Inst. Math., 148 (1980), 111–141  mathscinet  zmath
81. N. P. Dolbilin, Symmetry, News in Science, Znanie [Knowledge] Publishing House, Moscow, 1978 , 65 pp.

82. N. P. Dolbilin, “O lokalnykh svoistvakh diskretnykh pravilnykh sistem”, Dokl. AN SSSR, 230:3 (1976), 516–519  mathscinet (cited: 3)  zmath
83. B. N. Delone, N. P. Dolbilin, M. I. Shtogrin, R. V. Galiulin, “Lokalnyi kriterii pravilnosti sistemy tochek”, Dokl. AN SSSR, 227:1 (1976), 19–21  mathscinet (cited: 4)  zmath

84. N. P. Dolbilin, “The covering radius of hyperbolically equivalent $n$-dimensional lattices, and the boundedness of the index of a divided parallelepiped”, Dokl. AN SSSR, 214 (1974), 1002–1004  mathscinet  zmath

85. B. N. Delone, R. V. Galiulin, N. P. Dolbilin, V. A. Zalgaller, M. I. Štogrin, “Three successive minima of a three-dimensional lattice”, Dokl. AN SSSR, 209 (1973), 25–28  mathscinet (cited: 1)  zmath

86. N. P. Dolbilin, “On 3- and 4-dimensional simple forms”, Problems of Crystallology, Collected papers dedicated to 80-anniversary of academician N. V. Belov, MSU Publishing House, Moscow, 1971, 315–323

87. B. N. Delone, N. P. Dolbilin, S. S. Ryshkov, M. I. Shtogrin, “A new construction in the theory of lattice coverings of an $n$-dimensional space by equal spheres”, Math. USSR-Izv., 4:2 (1970), 293–302  mathnet  crossref  mathscinet  zmath

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