THE MEMORY OF MICHEL DEZA
https://doi.org/10.22405/2226-8383-2017-18-1-4-28
Abstract
This article is dedicated to the memory of the famous Russian and French scientist, a mathematician Michel Deza, who tragically passed away on November 23, 2016, at the age of 77. The review of the main stages of the professional formation and growth of M. Deza (Mikhail Emovich Tylkin) in Russia in the 60-70s of the last century is given. His multilateral international scientic activity has been highlighted since he moved to France in 1973. The main directions of his fundamental mathematical and applied research with numerous co-authors are analyzed. A list of the main scientic publications of M. Deza is presented. Short review of the work of Michel Deza as a Russian poet is presented.
About the Authors
E. I. Deza
Moscow State Pedagogical University
Russian Federation
Russian Federation
Full Professor, Associate professor(Dotsent), Doctor of Pedagogical Sciences, Candidat of Physical-Mathematical Sciences, Professor of Chair of the Theoretical Informatics and Discrete Mathematics, Department of Mathematics
V. N. Chubarikov
M. V. Lomonosov Moscow State University
Russian Federation
Russian Federation
doctor of physical and mathematical sciences, professor, head of the Department of mathematical and computer methods of analysis, dean of the mechanics and mathematics faculty
V. G. Chirskii
Moscow Pedagogical State University
M. V. Lomonosov Moscow State University
Russian Federation
Russian Federation
doctor of physical and mathematical sciences, associate professor, head of number theory's chair of the
professor of the mechanics and mathematics faculty
N. M. Dobrovolsky
Tula State L. N. Tolstoy Pedagogical University
Russian Federation
Russian Federation
doctor of physical and mathematical sciences, professor, head of the Department algebra, calculus and geometry
A. O. Ivanov
Moscow state University named after M. V. Lomonosov
Russian Federation
Russian Federation
Doctor of physico-mathematical Sciences, Professor of
the Department "Differential geometry and applications"
E. I. Golubeva
Lomonosov Moscow State University
Russian Federation
Russian Federation
Doctor of Biological Sciences, Professor of the Faculty of Geography, winner of the RF Government Prize
I. Yu. Rebrova
Tula State Pedagogical University
Russian Federation
Russian Federation
Candidate of Physico-Mathematical Sciences, Associate Professor, dean of the mathematics, physics and informatics faculty
N. N. Dobrovolsky
Tula State University
Russian Federation
Russian Federation
candidate of physical and mathematical sciences, assistant of the department of applied mathematics and computer science
References
1. M. E. Tylkin, On Hamming geometry of unitary cubes, Soviet Physics. Dokl., 5 (1960), pp. 940943.
2. M. Deza, ¾Some Problems, I Care Most¿, European Journal of Combinatorics 31 (2010), pp. 649675.
3. M. Deza, Solution d'un probleme de Erdos-Lovasz, J. Combinatorial Theory Ser. B, 16 (1974), pp. 166167.
4. M. Deza, N. M. Singhi, Some properties of perfect matroid designs, Combinatorial mathematics, optimal designs and their applications (Proc. Sympos. Combin. Math. and Optimal Design, Colorado State Univ., Fort Collins, Colo., 1978), Ann. Discrete Math., 6 (1980), pp. 5776.
5. P. J. Cameron and M. Deza, Designs and Matroids, in Handbook of Combinatorial Designs, 2-nd ed., by J. Colbourn and J. Dinitz, Discrete Mathematics and Applications, 42, Chapman and Hall/CRC, 2006, Ch. VII.10, pp. 847851.
6. Deza, M. & Laurent, M. (1992), ¾Facets for the cut cone I¿, Mathematical Programming, Ò. 56 (13), pp. 121160.
7. M. M. Deza, M. Laurent, Geometry of cuts and metrics, Algorithms and Combinatorics, 15, Springer-Verlag, Berlin, 1997, ISBN: 3-540-61611-X , xii+587 pp.
8. Deza, A.; Deza, M. & Fukuda, K. (1996), "On skeletons, diameters and volumes of metric polyhedra Combinatorics and Computer Science, vol. 1120, Lecture Notes in Computer Science, Springer-Verlag, pp. 112128.
9. P. Assouad, M. Deza, Metric subspaces of L1, With a French summary, Publications Mathematiques d'Orsay [Mathematical Publications of Orsay], 82, Universite de Paris-Sud Departement de Mathematique, Orsay, 1982 , iv+47 pp.
10. P. Terwilliger, M. Deza, The classication of nite connected hypermetric spaces, Graphs Combin., 3:3 (1987), pp. 293298.
11. M. Deza, V. P. Grishukhin, M. Laurent, The symmetries of the cut polytope and of some relatives, Applied geometry and discrete mathematics, DIMACS Ser. Discrete Math. Theoret. Comput. Sci., 4, Amer. Math. Soc., Providence, RI, 1991, pp. 205220.
12. M. Deza, V. P. Grishukhin, M. Laurent, The hypermetric cone is polyhedral , Combinatorica, 13:4 (1993), pp. 397411.
13. M. Deza, M. Dutour, Data mining for cones of metrics, hemi-imetrics and super-metrics, Annales of European Academy of Sciences, 2003, pp. 141162, arXiv: 0201011
14. M. Deza, S. Shpectorov, Polyhexes that are l1 graphs, European J. Combin., 30:5 (2009), pp. 10901100.
15. Chepoi, V.; Deza, M. & Grishukhin, V. (1997), ¾Clin d'oeil on L1-embeddable planar graphs¿, Discrete Applied Mathematics Ò. 80 (1), pp. 319.
16. Deza, M.; M.Dutour Sikiric & Shtogrin, M. "Geometric Structure of Chemistry-relevant Graphs: zigzags and central circuits" , Springer, 2015. ISBN: 978-81-322-2448-8 (Print) 978-81-322-2449-5 (Online).
17. Deza, M.; P. W. Fowler, A. Rassat & K. M. Rogers Fullerenes as tilings of surfaces. Report LIENS 99- 4, Ecole Normale Superieure, Paris 1999. // Journal of Chemical Information and Computer Science, 403, 2000, pp. 550558.
18. Deza, M. & M. Shtogrin New examples of generalized fullerenes // Uspechi Math. Nauk (Russian Math. Surveys), 641, 2009, pp. 145146.
19. Deza, M.; Dutour Sikiric & O. Delgado-Friedrichs Space fullerenes: computer search for new Frank-Kasper structures // Acta Crystallographica, A66-5, 2010, pp. 602615.
20. Deza, M.; Deza, E. (2016), Encyclopedia of Distances, 4th revised edition, Springer-Verlag, ISBN 978-3-662-52844-0
Review
For citations:
Deza E.I., Chubarikov V.N., Chirskii V.G., Dobrovolsky N.M., Ivanov A.O., Golubeva E.I., Rebrova I.Yu., Dobrovolsky N.N. THE MEMORY OF MICHEL DEZA. Chebyshevskii Sbornik. 2017;18(1):4-28. (In Russ.) https://doi.org/10.22405/2226-8383-2017-18-1-4-28
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