Some problems, I care most
type: Item
instance of: scholarly article
title: Some problems, I care most
zbMATH Open document ID: 1228.52001
published in: European Journal of Combinatorics
publication date: 2010-04-27T00:00:00Z
review text: Michel Deza formulates 10 problems in areas where discrete geometry meets algebra, classical combinatorics, graph theory, number theory, optimization, analysis and applications, especially in organic chemistry (fullerines, viruses). Just enough is spelled out and nice figures are presented to get the reader interested, but to fully understand the problems and get started on their solution, the reader will have to first read the author's books. (See, e.g. \textit{M. Deza} [Perfect matroid designs, Rep., Dep. Math., Univ. Stockh. 8, 27 p. (1984; Zbl 0544.05013)], \textit{M. Deza}, \textit{V. Grishukin}, and \textit{M. Shtogrin} [Scale-isometric polytopal graphs in hypercubes and cubic lattices. Polytopes in hypercubes and \(Z_n\), London: Imperial College Press (2004; Zbl 1054.52007)], \textit{M. Deza} and \textit{M. Dutour Sikirić} [Geometry of chemical graphs. Polycycles and two-faced maps, Encyclopedia of Mathematics and its Applications 119. Cambridge: Cambridge University Press (2008; Zbl 1153.05065)], \textit{M. Deza} and \textit{E. Deza} [Encyclopedia of distances, Berlin: Springer (2009; Zbl 1167.51001)], and \textit{M. Deza} and \textit{M. Laurent} [Geometry of cuts and metrics. Paperback reprint of the 1997 original, Algorithms and Combinatorics 15. Dordrecht: Springer (2010; Zbl 1210.52001)].)
reviewed by: Herman J. Servatius
Mathematics Subject Classification ID: 52-02
Mathematics Subject Classification ID: 51-02
Mathematics Subject Classification ID: 05-02
Mathematics Subject Classification ID: 05B35
Mathematics Subject Classification ID: 05C12
Mathematics Subject Classification ID: 05C90
Mathematics Subject Classification ID: 52B05
Mathematics Subject Classification ID: 51K05
Mathematics Subject Classification ID: 52B20
zbMATH DE Number: 5702108
zbMATH Keywords: problems
zbMATH Keywords: discrete geometry
author: Michel Deza
MaRDI profile type: Publication
full work available at URL: j.ejc.2009.03.019
OpenAlex ID: W2035283127
DOI: 10.1016/J.EJC.2009.03.019
description: scientific article; zbMATH DE number 5702108