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Generalized Connectivity of Graphs
~
Li, Xueliang.
Generalized Connectivity of Graphs
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Generalized Connectivity of Graphs/ by Xueliang Li, Yaping Mao.
Author:
Li, Xueliang.
other author:
Mao, Yaping.
Description:
X, 143 p. 28 illus., 6 illus. in color.online resource. :
Contained By:
Springer Nature eBook
Subject:
Graph theory. -
Online resource:
https://doi.org/10.1007/978-3-319-33828-6
ISBN:
9783319338286
Generalized Connectivity of Graphs
Li, Xueliang.
Generalized Connectivity of Graphs
[electronic resource] /by Xueliang Li, Yaping Mao. - 1st ed. 2016. - X, 143 p. 28 illus., 6 illus. in color.online resource. - SpringerBriefs in Mathematics,2191-8198. - SpringerBriefs in Mathematics,.
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. .
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.
ISBN: 9783319338286
Standard No.: 10.1007/978-3-319-33828-6doiSubjects--Topical Terms:
527884
Graph theory.
LC Class. No.: QA166-166.247
Dewey Class. No.: 511.5
Generalized Connectivity of Graphs
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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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