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  • Conference proceedings
  • © 2016

Convexity and Discrete Geometry Including Graph Theory

Mulhouse, France, September 2014

  • Includes overviews of evolving areas in convexity, discrete geometry and graph theory
  • Presents easily understandable, but surprising, properties, obtained using topological, geometric and graph theoretic tools
  • Written by experts from all over the word
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 148)

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Table of contents (28 papers)

  1. Front Matter

    Pages i-x
  2. Research Articles

    1. Front Matter

      Pages 1-1
    2. Tudor Zamfirescu: From Convex to Magic

      • Solomon Marcus
      Pages 3-25
    3. Transformations of Digraphs Viewed as Intersection Digraphs

      • Christina M. D. Zamfirescu
      Pages 27-35
    4. Hamiltonicity in k-tree-Halin Graphs

      • Ayesha Shabbir, Tudor Zamfirescu
      Pages 59-68
    5. Reflections of Planar Convex Bodies

      • Rolf Schneider
      Pages 69-76
    6. On the Connected Spanning Cubic Subgraph Problem

      • Damien Massé, Reinhardt Euler, Laurent Lemarchand
      Pages 109-136
    7. Extremal Results on Intersection Graphs of Boxes in \({\mathbb R}^d\)

      • Alvaro Martínez-Pérez, Luis Montejano, Deborah Oliveros
      Pages 137-144
    8. On the Helly Dimension of Hanner Polytopes

      • János Kincses
      Pages 145-154
    9. T(4) Families of \({\varphi }\)-Disjoint Ovals

      • Aladár Heppes, Jesús Jerónimo-Castro
      Pages 155-160
    10. Fair Partitioning by Straight Lines

      • Augustin Fruchard, Alexander Magazinov
      Pages 161-165
    11. Fixed Point Theorems for Multivalued Zamfirescu Operators in Convex Kasahara Spaces

      • Alexandru-Darius Filip, Adrian Petruşel
      Pages 167-179
    12. Envelopes of \(\alpha \)-Sections

      • Nicolas Chevallier, Augustin Fruchard, Costin Vîlcu
      Pages 193-218
    13. Selected Open and Solved Problems in Computational Synthetic Geometry

      • Jürgen Bokowski, Jurij Kovič, Tomaž Pisanski, Arjana Žitnik
      Pages 219-229

About this book

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.

Editors and Affiliations

  • Einstein Institute for Mathematics, Hebrew University of Jerusalem, Jerusalem, Israel

    Karim Adiprasito

  • Hungarian Academy of Sciences, Rényi Institute of Mathematics, Budapest, Hungary

    Imre Bárány

  • Mathematics of the Roumanian Academy, ``Simion Stoilow'' Institute of, Bucharest, Romania

    Costin Vilcu

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access