Geodesic
The memory of Michel Deza
Čebyševskij sbornik, Tome 18 (2017) no. 1, pp. 4-28.

Voir la notice de l'article provenant de la source Math-Net.Ru

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 Efimovich Tylkin) in Russia in the 60-70s of the last century is given. His multilateral international scientific 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 scientific publications of M. Deza is presented. Short review of the work of Michel Deza as a Russian poet is presented. This work is devoted to the seventieth Doctor of Physical and Mathematical Sciences, Professor Vasily Ivanovich Bernik. In her curriculum vitae, a brief analysis of his scientific work and educational and organizational activities. The work included a list of 80 major scientific works of V. I. Bernik. Bibliography: 20 titles.
Keywords: Michel Marie Deza. French National Center for Scientific Research (Centre national de la recherche scientifique, CNRS). Higher normal school (Ecole normale superieure, ENS). Discrete Geometry. Graphs. Cuts and metrics. Fullerenes. 
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E. Deza; V. N. Chubarikov; V. G. Chirskii; N. M. Dobrovol'skii; A. O. Ivanov; E. I. Golubeva; I. Yu. Rebrova; N. N. Dobrovol'skii. The memory of Michel Deza. Čebyševskij sbornik, Tome 18 (2017) no. 1, pp. 4-28. http://geodesic.mathdoc.fr/item/CHEB_2017_18_1_a0/

[1] Tylkin M. E., “On Hamming geometry of unitary cubes”, Soviet Physics. Dokl., 5 (1960), 940–943 | MR

[2] Deza M., “Some Problems, I Care Most”, European Journal of Combinatorics, 31 (2010), 649–675 | DOI | MR | Zbl

[3] Deza M., “Solution d'un probléme de Erdös–Lovász”, J. Combinatorial Theory Ser. B, 16 (1974), 166–167 | DOI | MR

[4] Deza M., Singhi N. M., “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, 57–76 | DOI | MR | Zbl

[5] Cameron P. J., Deza M., “Designs and Matroids”, Handbook of Combinatorial Designs, Ch. VII.10, Discrete Mathematics and Applications, 42, 2-nd ed., eds. J. Colbourn, J. Dinitz, Chapman and Hall/CRC, 2006, 847–851 | MR

[6] Deza M., Laurent M., “Facets for the cut cone I”, Mathematical Programming, 56:1–3 (1992), 121–160 | DOI | MR | Zbl

[7] Deza M. M., Laurent M., Geometry of cuts and metrics, Algorithms and Combinatorics, 15, Springer-Verlag, Berlin, 1997, xii+587 pp. | DOI | MR | Zbl

[8] Deza A., Deza M., Fukuda K., “On skeletons, diameters and volumes of metric polyhedra”, Combinatorics and Computer Science, Lecture Notes in Computer Science, 1120, Springer-Verlag, 1996, 112–128 | DOI | MR

[9] Assouad P., Deza M., Metric subspaces of $L^1$, With a French summary, Publications Mathématiques d'Orsay [Mathematical Publications of Orsay], 82, Université de Paris-Sud Département de Mathématique, Orsay, 1982, iv+47 pp. | MR

[10] Terwilliger P., Deza M., “The classification of finite connected hypermetric spaces”, Graphs Combin., 3:3 (1987), 293–298 | DOI | MR | Zbl

[11] Deza M., Grishukhin V. P., Laurent M., “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, 205–220 | DOI | MR

[12] Deza M., Grishukhin V. P., Laurent M., “The hypermetric cone is polyhedral”, Combinatorica, 13:4 (1993), 397–411 | DOI | MR | Zbl

[13] Deza M., Dutour M., “Data mining for cones of metrics, hemi-imetrics and super-metrics”, Annales of European Academy of Sciences, 2003, 141–162, arXiv: math/0201011 [math.MG]

[14] Deza M., Shpectorov S., “Polyhexes that are $l_1$ graphs”, European J. Combin., 30:5 (2009), 1090–1100 | DOI | MR | Zbl

[15] Chepoi V., Deza M., Grishukhin V., “Clin d'oeil on L1-embeddable planar graphs”, Discrete Applied Mathematics, 80:1 (1997), 3–19 | DOI | MR | Zbl

[16] Deza M., Dutour Sikiric M., Shtogrin M., Geometric Structure of Chemistry-relevant Graphs: zigzags and central circuits, Springer, 2015 | MR | Zbl

[17] Deza M., Fowler P. W., Rassat A., Rogers K. M., Fullerenes as tilings of surfaces, Report LIENS 99-4, Ecole Normale Superieure, Paris, 1999; Journal of Chemical Information and Computer Science, 40:3 (2000), 550–558 | DOI

[18] Deza M., Shtogrin M., “New examples of generalized fullerenes”, Uspechi Math. Nauk (Russian Math. Surveys), 64:1 (2009), 145–146 | MR | Zbl

[19] Deza M., Dutour Sikiric M., Delgado-Friedrichs O., “Space fullerenes: computer search for new Frank–Kasper structures”, Acta Crystallographica, A66:5 (2010), 602–615

[20] Deza M., Deza E., Encyclopedia of Distances, 4th revised edition, Springer-Verlag, 2016 | MR | Zbl