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Convexity and Discrete Geometry Including Graph Theory = Mulhouse, France, September 2014 /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Convexity and Discrete Geometry Including Graph Theory/ edited by Karim Adiprasito, Imre Bárány, Costin Vilcu.
其他題名:	Mulhouse, France, September 2014 /
其他作者:	Adiprasito, Karim.
面頁冊數:	X, 280 p. 93 illus., 39 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Convex geometry . -
電子資源:	https://doi.org/10.1007/978-3-319-28186-5
ISBN:	9783319281865

Convexity and Discrete Geometry Including Graph Theory = Mulhouse, France, September 2014 /
Convexity and Discrete Geometry Including Graph TheoryMulhouse, France, September 2014 /[electronic resource] :edited by Karim Adiprasito, Imre Bárány, Costin Vilcu. - 1st ed. 2016. - X, 280 p. 93 illus., 39 illus. in color.online resource. - Springer Proceedings in Mathematics & Statistics,1482194-1009 ;. - Springer Proceedings in Mathematics & Statistics,125.

Introduction -- PART I Research Articles. Marcus: Tudor Zamfirescu: from convex to magic -- Yuan: Acute Triangulations of Rectangles, with Angles Bounded Below -- Skupien: Multi-compositions in exponential counting of hypohamiltonian snarks -- Shabbir & T. Zamfirescu: Hamiltonicity in k-tree-Halin graphs -- Schneider: Reflections of planar convex bodies -- Rouyer: Steinhaus conditions for convex polyhedra -- Riviere: About the Hausdorff dimension of the set of endpoints of convex surfaces -- Prunescu: About a surprising computer program of Matthias Müller -- Oliveros, Martinez & Montejano: Extremal results on intersection graphs of boxes in R^d -- Massé, Euler & Lemarchand: On the connected spanning cubic subgraph problem -- Kincses: On the Helly dimension of Hanner polytopes -- Itoh & Ohtsuka: Classification of normal 2-polyhedra of positive constant curvature -- Heppes & Jeronimo-Castro: T(4) families ofϕ-disjoint ovals -- Fruchard & Magazinov: Fair partitioning by straight lines -- Filip & Petrusel: Fixed point theorems for multivalued Zamfrescu operators in convex Kasahara spaces -- Et-Taoui: Complex conference matrices, complex Hadamard matrices and complex equiangular tight frames -- Chevallier, Fruchard & Vilcu: Envelopes of α-sections -- Bokowski & al.: Selected open and solved problems in computational synthetic geometry -- Bau: Reductions of 3-connected quadrangulations of the sphere -- Barany & Por: Paths on the sphere without small angles -- PART II Open Problem Notes. Zamfirescu T.: Two problems on cages for discs -- Zamfirescu Carol T.: Seven problems on hypohamiltonian and almost hypohamiltonian graphs -- Vilcu & Zamfirescu: Six problems on the length of the cut locus -- Simoes-Pereira: Existence Problems for Matroidal Families -- Funar: Cubical Pachner moves -- Eckhoff: Problems in Discrete Geometry -- Chevallier & Fruchard: What is the minimal cardinal of a family which shatters all d-subsets of a finite set? -- Baskoro: Some open problems of Ramsey minimal graphs. .

This volume presents easy-to-understand yet surprising properties obtained using topological, geometric and graph theoretic tools in the areas covered by the Geometry Conference that took place in Mulhouse, France from September 7–11, 2014 in honour of Tudor Zamfirescu on the occasion of his 70th anniversary. The contributions address subjects in convexity and discrete geometry, in distance geometry or with geometrical flavor in combinatorics, graph theory or non-linear analysis. Written by top experts, these papers highlight the close connections between these fields, as well as ties to other domains of geometry and their reciprocal influence. They offer an overview on recent developments in geometry and its border with discrete mathematics, and provide answers to several open questions. The volume addresses a large audience in mathematics, including researchers and graduate students interested in geometry and geometrical problems.

ISBN: 9783319281865

Standard No.: 10.1007/978-3-319-28186-5doiSubjects--Topical Terms:

1255327
Convex geometry .

LC Class. No.: QA639.5-640.7

Dewey Class. No.: 516.1

Convexity and Discrete Geometry Including Graph Theory = Mulhouse, France, September 2014 /
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