SpringerBriefs in Mathematics
© 2018
Properly Colored Connectivity of Graphs
Authors: Li, Xueliang, Magnant, Colton, Qin, Zhongmei
Free Preview- Unifies up-to-date results and techniques used to study the proper connection number
- Outlines varied approaches and advances to current open problems and conjectures
- Features different applications of chromatic graph theory
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- About this book
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A comprehensive survey of proper connection of graphs is discussed in this book with real world applications in computer science and network security. Beginning with a brief introduction, comprising relevant definitions and preliminary results, this book moves on to consider a variety of properties of graphs that imply bounds on the proper connection number. Detailed proofs of significant advancements toward open problems and conjectures are presented with complete references.
Researchers and graduate students with an interest in graph connectivity and colorings will find this book useful as it builds upon fundamental definitions towards modern innovations, strategies, and techniques. The detailed presentation lends to use as an introduction to proper connection of graphs for new and advanced researchers, a solid book for a graduate level topics course, or as a reference for those interested in expanding and further developing research in the area.
- Table of contents (12 chapters)
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Introduction
Pages 1-8
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General Results
Pages 9-13
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Connectivity Conditions
Pages 15-22
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Degree Conditions
Pages 23-39
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Domination Conditions
Pages 41-45
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Table of contents (12 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Properly Colored Connectivity of Graphs
- Authors
-
- Xueliang Li
- Colton Magnant
- Zhongmei Qin
- Series Title
- SpringerBriefs in Mathematics
- Copyright
- 2018
- Publisher
- Springer International Publishing
- Copyright Holder
- The Author(s), under exclusive licence to Springer International Publishing AG, part of Springer Nature
- eBook ISBN
- 978-3-319-89617-5
- DOI
- 10.1007/978-3-319-89617-5
- Softcover ISBN
- 978-3-319-89616-8
- Series ISSN
- 2191-8198
- Edition Number
- 1
- Number of Pages
- VIII, 145
- Number of Illustrations
- 34 b/w illustrations
- Topics
