SpringerBriefs in Mathematics

Geodesic Convexity in Graphs

Authors: Pelayo, Ignacio M.

  • ​​​​​​​​Geodesic Convexity in Graphs ​is a self-contained monograph which is devoted to geodesic convexity on finite, simply connected graphs
  • Includes specific definitions, discussion and examples, results, proofs, exercises and open problems ​on geodesic convexity
  • Examines results obtained during the past 15 years, relating cardinality of minimum geodetic and hull sets
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  • ISBN 978-1-4614-8699-2
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About this book

​​​​​​​​Geodesic Convexity in Graphs is devoted to the study of the geodesic convexity on finite, simple, connected graphs. The first chapter includes the main definitions and results on graph theory, metric graph theory and graph path convexities. The following chapters focus exclusively on the geodesic convexity, including motivation and background, specific definitions, discussion and examples, results, proofs, exercises and open problems. The main and most st​udied parameters involving geodesic convexity in graphs are both the geodetic and the hull number which are defined as the cardinality of minimum geodetic and hull set, respectively. This text reviews various results, obtained during the last one and a half decade, relating these two  invariants and some others such as convexity number, Steiner number, geodetic iteration number, Helly number, and Caratheodory number to a wide range a contexts, including products, boundary-type vertex sets, and perfect graph families. This monograph can serve as a supplement to a half-semester graduate course in geodesic convexity but is primarily a guide for postgraduates and researchers interested in topics related to metric graph theory and graph convexity theory.  ​

Table of contents (7 chapters)

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-1-4614-8699-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-1-4614-8698-5
  • 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
Geodesic Convexity in Graphs
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Ignacio M. Pelayo
eBook ISBN
978-1-4614-8699-2
DOI
10.1007/978-1-4614-8699-2
Softcover ISBN
978-1-4614-8698-5
Series ISSN
2191-8198
Edition Number
1
Number of Pages
VIII, 112
Number of Illustrations and Tables
41 b/w illustrations
Topics