Birkhäuser Advanced Texts Basler Lehrbücher

Configurations from a Graphical Viewpoint

Authors: Pisanski, Tomaz, Servatius, Brigitte

  • Among the oldest combinatorial structures, configurations are explored from a graphical viewpoint for the first time in this book
  • Explores configurations from a graph-theoretical viewpoint
  • Includes over two hundred illustrations, challenging exercises at the end of each chapter, a comprehensive bibliography, and a set of open problems
  • Well suited for a graduate graph theory course, advanced undergraduate seminar, or self-contained reference for mathematicians and researchers
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  • ISBN 978-0-8176-8364-1
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Hardcover $79.95
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  • ISBN 978-0-8176-8363-4
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About this Textbook

Configurations can be studied from a graph-theoretical viewpoint via the so-called Levi graphs and lie at the heart of graphs, groups, surfaces, and geometries, all of which are very active areas of mathematical exploration. In this self-contained textbook, algebraic graph theory is used to introduce groups; topological graph theory is used to explore surfaces; and geometric graph theory is implemented to analyze incidence geometries.

After a preview of configurations in Chapter 1, a concise introduction to graph theory is presented in Chapter 2, followed by a geometric introduction to groups in Chapter 3. Maps and surfaces are combinatorially treated in Chapter 4. Chapter 5 introduces the concept of incidence structure through vertex colored graphs, and the combinatorial aspects of classical configurations are studied. Geometric aspects, some historical remarks, references, and applications of classical configurations appear in the last chapter.

With over two hundred illustrations, challenging exercises at the end of each chapter, a comprehensive bibliography, and a set of open problems, Configurations from a Graphical Viewpoint is well suited for a graduate graph theory course, an advanced undergraduate seminar, or a self-contained reference for mathematicians and researchers.

Table of contents (6 chapters)

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-0-8176-8364-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.95
price for USA
  • ISBN 978-0-8176-8363-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Configurations from a Graphical Viewpoint
Authors
Series Title
Birkhäuser Advanced Texts Basler Lehrbücher
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-0-8176-8364-1
DOI
10.1007/978-0-8176-8364-1
Hardcover ISBN
978-0-8176-8363-4
Series ISSN
1019-6242
Edition Number
1
Number of Pages
XIII, 279
Number of Illustrations and Tables
229 b/w illustrations, 45 illustrations in colour
Topics