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Properly Colored Connectivity of Graphs

Properly Colored Connectivity of Graphs
Catalogue Information
Field name Details
Dewey Class 511.6
Title Properly Colored Connectivity of Graphs ([EBook]) / by Xueliang Li, Colton Magnant, Zhongmei Qin.
Author Li, Xueliang
Added Personal Name Magnant, Colton author.
Qin, Zhongmei author.
Other name(s) SpringerLink (Online service)
Publication Cham : : Springer International Publishing : : Imprint: Springer, , 2018.
Physical Details VIII, 145 p. 34 illus. : online resource.
Series SpringerBriefs in Mathematics 2191-8198
ISBN 9783319896175
Summary Note 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.:
Contents note 1. Introduction -- 2.General Results -- 3. Connectivity Conditions -- 4. Degree Conditions -- 5. Domination Conditions -- 6. Operations on Graphs -- 7..Random Graphs -- 8. Proper k-Connection and Strong Proper Connection -- 9. Proper Vertex Connection and Total Proper Connection -- 10. Directed Graphs -- 11. Other Generalizations -- 12. Computational Complexity -- Bibliography -- Index.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-319-89617-5
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