國立虎尾科技大學 |

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

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Convexity and Discrete Geometry Including Graph Theory/ edited by Karim Adiprasito, Imre Bárány, Costin Vilcu.
Reminder of title:	Mulhouse, France, September 2014 /
other author:	Adiprasito, Karim.
Description:	X, 280 p. 93 illus., 39 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Convex geometry . -
Online resource:	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 /
LDR:04552nam a22004335i 4500 001 977188
003 DE-He213
005 20200706162948.0
007 cr nn 008mamaa
008 201211s2016 gw | s |||| 0|eng d
020 $a 9783319281865 $9 978-3-319-28186-5
024 7 $a 10.1007/978-3-319-28186-5 $2 doi
035 $a 978-3-319-28186-5
050 4 $a QA639.5-640.7
050 4 $a QA640.7-640.77
072 7 $a PBMW $2 bicssc
072 7 $a MAT012020 $2 bisacsh
072 7 $a PBMW $2 thema
072 7 $a PBD $2 thema
082 0 4 $a 516.1 $2 23
245 1 0 $a Convexity and Discrete Geometry Including Graph Theory $h [electronic resource] : $b Mulhouse, France, September 2014 / $c edited by Karim Adiprasito, Imre Bárány, Costin Vilcu.
250 $a 1st ed. 2016.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a X, 280 p. 93 illus., 39 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Springer Proceedings in Mathematics & Statistics, $x 2194-1009 ; $v 148
505 0 $a 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. .
520 $a 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.
650 0 $a Convex geometry . $3 1255327
650 0 $a Discrete geometry. $3 672137
650 0 $a Graph theory. $3 527884
650 0 $a Combinatorics. $3 669353
650 0 $a Global analysis (Mathematics). $3 1255807
650 0 $a Manifolds (Mathematics). $3 1051266
650 1 4 $a Convex and Discrete Geometry. $3 672138
650 2 4 $a Graph Theory. $3 786670
650 2 4 $a Global Analysis and Analysis on Manifolds. $3 672519
700 1 $a Adiprasito, Karim. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1109349
700 1 $a Bárány, Imre. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1270979
700 1 $a Vilcu, Costin. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1109350
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319281841
776 0 8 $i Printed edition: $z 9783319281858
776 0 8 $i Printed edition: $z 9783319802923
830 0 $a Springer Proceedings in Mathematics & Statistics, $x 2194-1009 ; $v 125 $3 1253690
856 4 0 $u https://doi.org/10.1007/978-3-319-28186-5
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)