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Generalized Connectivity of Graphs

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-) connectivi...

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Main Authors: Li, Xueliang. (Author, http://id.loc.gov/vocabulary/relators/aut), Mao, Yaping. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:SpringerBriefs in Mathematics,
Subjects:
Graph theory.
Combinatorics.
Computer science—Mathematics.
Operations research.
Management science.
Graph Theory.
Discrete Mathematics in Computer Science.
Operations Research, Management Science.
Online Access:https://doi.org/10.1007/978-3-319-33828-6
Table of Contents:
  • 1. Introduction
  • 2. Results for some graph classes
  • 3. Algorithm and complexity
  • 4. Sharp bounds of the generalized (edge-) connectivity
  • 5. Graphs with given generalized connectivity
  • 6. Nordhaus-Gaddum-type results
  • 7. Results for graph products
  • 8. Maximum generalized local connectivity
  • 9. Generalized connectivity for random graphs
  • Bibliography.– Index. .

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