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Symmetries in Graphs, Maps, and Polytopes

5th SIGMAP Workshop, West Malvern, UK, July 2014

  • Conference proceedings
  • © 2016

Overview

Editors:
  1. Jozef Širáň

    1. The Open University, Milton Keynes, United Kingdom

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    You can also search for this editor in PubMed   Google Scholar

  2. Robert Jajcay

    1. Comenius University, Bratislava, Slovakia

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    You can also search for this editor in PubMed   Google Scholar

  • Presents the latest studies in symmetric discrete objects and structures
  • Only most cutting edge research papers are selected
  • Treats both theoretical aspects as well as applications of symmetric discrete objects and structures
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 159)

Included in the following conference series:

Conference proceedings info: SIGMAP 2014.

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Table of contents (17 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Powers of Skew-Morphisms

    • Martin Bachratý, Robert Jajcay
    Pages 1-25

  3. Census of Quadrangle Groups Inclusions

    • António Breda d’Azevedo, Domenico A. Catalano, Ján Karabáš, Roman Nedela
    Pages 27-69

  4. Some Unexpected Consequences of Symmetry Computations

    • Marston D. E. Conder
    Pages 71-79

  5. A 3D Spinorial View of 4D Exceptional Phenomena

    • Pierre-Philippe Dechant
    Pages 81-95

  6. Möbius Inversion in Suzuki Groups and Enumeration of Regular Objects

    • Martin Downs, Gareth A. Jones
    Pages 97-127

  7. More on Strongly Real Beauville Groups

    • Ben Fairbairn
    Pages 129-146

  8. On Pentagonal Geometries with Block Size 3, 4 or 5

    • Terry S. Griggs, Klara Stokes
    Pages 147-157

  9. The Grothendieck-Teichmüller Group of a Finite Group and \({\varvec{G}}\)-Dessins d’enfants

    • Pierre Guillot
    Pages 159-191

  10. Discrete Groups and Surface Automorphisms: A Theorem of A.M. Macbeath

    • W. J. Harvey
    Pages 193-199

  11. Isometric Point-Circle Configurations on Surfaces from Uniform Maps

    • Milagros Izquierdo, Klara Stokes
    Pages 201-211

  12. Dessins, Their Delta-Matroids and Partial Duals

    • Goran Malić
    Pages 213-247

  13. Faithful Embeddings of Planar Graphs on Orientable Closed Surfaces

    • Seiya Negami
    Pages 249-262

  14. The Higher Dimensional Hemicuboctahedron

    • Daniel Pellicer
    Pages 263-271

  15. Groups of Order at Most 6,000 Generated by Two Elements, One of Which Is an Involution, and Related Structures

    • Primož Potočnik, Pablo Spiga, Gabriel Verret
    Pages 273-286

  16. Even-Integer Continued Fractions and the Farey Tree

    • Ian Short, Mairi Walker
    Pages 287-300

  17. Triangle Groups and Maps

    • David Singerman
    Pages 301-313

  18. Nilpotent Symmetric Dessins of Class Two

    • Na-Er Wang, Roman Nedela, Kan Hu
    Pages 315-332
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  1. Symmetries in Graphs, Maps, and Polytopes

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About this book

This volume contains seventeen of the best papers delivered at the SIGMAP Workshop 2014, representing the most recent advances in the field of symmetries of discrete objects and structures, with a particular emphasis on connections between maps, Riemann surfaces and dessins d’enfant.
Providing the global community of researchers in the field with the opportunity to gather, converse and present their newest findings and advances, the Symmetries In Graphs, Maps, and Polytopes Workshop 2014 was the fifth in a series of workshops. The initial workshop, organized by Steve Wilson in Flagstaff, Arizona, in 1998, was followed in 2002 and 2006 by two meetings held in Aveiro, Portugal, organized by Antonio Breda d’Azevedo, and a fourth workshop held in Oaxaca, Mexico, organized by Isabel Hubard in 2010.
This book should appeal to both specialists and those seeking a broad overview of what is happening in the area of symmetries of discrete objects and structures.
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Editors and Affiliations

  • The Open University, Milton Keynes, United Kingdom

    Jozef Širáň

  • Comenius University, Bratislava, Slovakia

    Robert Jajcay

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