Convexity and Discrete Geometry Including Graph Theory

Mulhouse, France, September 2014

Häftad, Engelska, 2018

Av Karim Adiprasito, Imre Bárány, Costin Vilcu, Imre Barany

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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.

Produktinformation

Utgivningsdatum2018-05-26
Mått155 x 235 x 16 mm
Vikt446 g
FormatHäftad
SpråkEngelska
SerieSpringer Proceedings in Mathematics & Statistics
Antal sidor280
FörlagSpringer International Publishing AG
ISBN9783319802923

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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: 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.