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Isomorphisms, Symmetry and Computations in Algebraic Graph Theory

Pilsen, Czech Republic, October 3–7, 2016

  • Conference proceedings
  • © 2020

Overview

Editors:
  1. Gareth A. Jones

    1. Department of Mathematical Sciences, University of Southampton, Southampton, UK

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  2. Ilia Ponomarenko

    1. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia

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    You can also search for this editor in PubMed   Google Scholar

  3. Jozef Širáň

    1. Department of Mathematics and Statistics, The Open University, Milton Keynes, UK

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  • Presents a unique selection of articles illustrating various aspects of algebraic combinatorics
  • Also features a survey, as well as an extensive tutorial
  • Addresses topics such as association schemes, symmetries of graphs, maps up to enumeration, and isomorphism problems

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 305)

Included in the following conference series:

Conference proceedings info: WAGT 2016.

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Table of contents (8 papers)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Orientably-Regular Maps on Twisted Linear Fractional Groups

    • Grahame Erskine, Katarína Hriňáková, Jozef Širáň
    Pages 1-35

  3. From Schur Rings to Constructive and Analytical Enumeration of Circulant Graphs with Prime-Cubed Number of Vertices

    • Victoria Gatt, Mikhail Klin, Josef Lauri, Valery Liskovets
    Pages 37-65

  4. A Note on a Problem of L. Martínez on Almost-Uniform Partial Sum Families

    • Štefan Gyürki
    Pages 67-71

  5. The Paulus–Rozenfeld–Thompson Graph on 26 Vertices Revisited and Related Combinatorial Structures

    • Štefan Gyürki, Mikhail Klin, Matan Ziv-Av
    Pages 73-154

  6. Paley and the Paley Graphs

    • Gareth A. Jones
    Pages 155-183

  7. Automorphism Groups of Paley Graphs and Cyclotomic Schemes

    • M. E. Muzychuk
    Pages 185-194

  8. Recognizing and Testing Isomorphism of Cayley Graphs over an Abelian Group of Order 4p in Polynomial Time

    • Roman Nedela, Ilia Ponomarenko
    Pages 195-218

  9. Tatra Schemes and Their Mergings

    • Sven Reichard
    Pages 219-234
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  1. Isomorphisms, Symmetry and Computations in Algebraic Graph Theory

Keywords

About this book

This book consists of a selection of peer-reviewed contributions to the Workshop on Algebraic Graph Theory that took place in Pilsen, Czech Republic in October 2016. Primarily intended for early career researchers, it presents eight self-contained articles on a selection of topics within algebraic combinatorics, ranging from association schemes to symmetries of graphs and isomorphism testing. Algebraic combinatorics is a compelling mathematical discipline based on the powerful interplay of algebraic and combinatorial methods. Algebraic interpretation of combinatorial structures (such as symmetry or regularity) has often led to enlightening discoveries and powerful results, while discrete and combinatorial structures have given rise to new algebraic structures that have found valuable applications.   

In addition to these original research contributions, the reader will find a survey linking numerous threads in algebraic combinatorics, and an extensive tutorial showcasing the universality of algebraic methods in the study of combinatorial structures.



Editors and Affiliations

  • Department of Mathematical Sciences, University of Southampton, Southampton, UK

    Gareth A. Jones

  • Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia

    Ilia Ponomarenko

  • Department of Mathematics and Statistics, The Open University, Milton Keynes, UK

    Jozef Širáň

Bibliographic Information

  • Book Title: Isomorphisms, Symmetry and Computations in Algebraic Graph Theory

  • Book Subtitle: Pilsen, Czech Republic, October 3–7, 2016

  • Editors: Gareth A. Jones, Ilia Ponomarenko, Jozef Širáň

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • DOI: https://doi.org/10.1007/978-3-030-32808-5

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-32807-8Published: 07 February 2020

  • Softcover ISBN: 978-3-030-32810-8Published: 07 February 2021

  • eBook ISBN: 978-3-030-32808-5Published: 10 January 2020

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: IX, 234

  • Number of Illustrations: 46 b/w illustrations, 5 illustrations in colour

  • Topics: Mathematics, general

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