Properly Colored Connectivity of Graphs (SpringerBriefs in Mathematics)

by Xueliang Li, Colton Magnant, and Zhongmei Qin

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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.


  • ISBN13 9783319896168
  • Publish Date 24 May 2018
  • Publish Status Active
  • Publish Country CH
  • Imprint Springer International Publishing AG
  • Edition 1st ed. 2018
  • Format Paperback
  • Pages 145
  • Language English