SpringerBriefs in Mathematics

Generalized Connectivity of Graphs

Authors: Li, Xueliang, Mao, Yaping

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  • Brings together results, conjectures, and open problems on generalized connectivity
  • Features theoretical and practical analysis for generalized (edge-) connectivity
  • Contains essential proofs 
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eBook 44,02 €
price for Spain (gross)
  • ISBN 978-3-319-33828-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 57,19 €
price for Spain (gross)
  • ISBN 978-3-319-33827-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

Noteworthy results, proof techniques, open problems and conjectures in generalized (edge-) connectivity are discussed in this book. Both theoretical and practical analyses for generalized (edge-) connectivity of graphs are provided. Topics covered in this book include: generalized (edge-) connectivity of graph classes, algorithms, computational complexity, sharp bounds, Nordhaus-Gaddum-type results, maximum generalized local connectivity, extremal problems, random graphs, multigraphs, relations with the Steiner tree packing problem and generalizations of connectivity.

This book enables graduate students to understand and master a segment of graph theory and combinatorial optimization. Researchers in graph theory, combinatorics, combinatorial optimization, probability, computer science, discrete algorithms, complexity analysis, network design, and the information transferring models will find this book useful in their studies.

Reviews

“The monograph under review is devoted to the exposition of results about the generalized connectivity and generalized edge-connectivity of graphs. … Reading it does not require significant background in the relevant fields, as most concepts are introduced and defined … . I would recommend it for a researcher, graduate student, or senior undergraduate student who has an interest in pursuing research on this subject.” (Joy M. W. Morris, Mathematical Reviews, April, 2017)


“This book is a concise and elegant piece of work on an old yet new topic of combinatorics. … The book may be of interest for those who work with communication networks, graph theory and combinatorial optimizations in general.” (Yilun Shang, zbMATH 1346.05001, 2016)


Table of contents (9 chapters)

  • Introduction

    Li, Xueliang (et al.)

    Pages 1-13

    Preview Buy Chapter 30,19 €
  • Results for Some Graph Classes

    Li, Xueliang (et al.)

    Pages 15-29

    Preview Buy Chapter 30,19 €
  • Algorithm and Complexity

    Li, Xueliang (et al.)

    Pages 31-39

    Preview Buy Chapter 30,19 €
  • Sharp Bounds of the Generalized (Edge-)Connectivity

    Li, Xueliang (et al.)

    Pages 41-57

    Preview Buy Chapter 30,19 €
  • Graphs with Given Generalized Connectivity

    Li, Xueliang (et al.)

    Pages 59-66

    Preview Buy Chapter 30,19 €

Buy this book

eBook 44,02 €
price for Spain (gross)
  • ISBN 978-3-319-33828-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 57,19 €
price for Spain (gross)
  • ISBN 978-3-319-33827-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Generalized Connectivity of Graphs
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
The Author(s)
eBook ISBN
978-3-319-33828-6
DOI
10.1007/978-3-319-33828-6
Softcover ISBN
978-3-319-33827-9
Series ISSN
2191-8198
Edition Number
1
Number of Pages
X, 143
Number of Illustrations
22 b/w illustrations, 6 illustrations in colour
Topics