Convexity and Discrete Geometry Including Graph Theory [electronic resource] : Mulhouse, France, September 2014 / edited by Karim Adiprasito, Imre Bárány, Costin Vilcu.
Contributor(s): Adiprasito, Karim [editor.]  Bárány, Imre [editor.]  Vilcu, Costin [editor.]  SpringerLink (Online service).
Material type: TextSeries: Springer Proceedings in Mathematics & Statistics: 148Publisher: Cham : Springer International Publishing : Imprint: Springer, 2016Description: X, 280 p. 93 illus., 39 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319281865.Subject(s): Discrete groups  Combinatorics  Global analysis  Convex and Discrete Geometry  Graph Theory  Combinatorics  Global Analysis and Analysis on ManifoldsAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 516.1 Online resources: Click here to access onlineItem type  Current location  Call number  Status  Date due  Barcode  Item holds  

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Introduction  PART I Research Articles. Marcus: Tudor Zamfirescu: from convex to magic  Yuan: Acute Triangulations of Rectangles, with Angles Bounded Below  Skupien: Multicompositions in exponential counting of hypohamiltonian snarks  Shabbir & T. Zamfirescu: Hamiltonicity in ktreeHalin 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 2polyhedra of positive constant curvature  Heppes & JeronimoCastro: T(4) families ofϕdisjoint ovals  Fruchard & Magazinov: Fair partitioning by straight lines  Filip & Petrusel: Fixed point theorems for multivalued Zamfrescu operators in convex Kasahara spaces  EtTaoui: Complex conference matrices, complex Hadamard matrices and complex equiangular tight frames  Chevallier, Fruchard & Vilcu: Envelopes of αsections  Bokowski & al.: Selected open and solved problems in computational synthetic geometry  Bau: Reductions of 3connected 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  SimoesPereira: 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 dsubsets of a finite set?  Baskoro: Some open problems of Ramsey minimal graphs. .
This volume presents easytounderstand 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 nonlinear 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.
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