“This book has the unique goal of covering the non-typical types of colorings in hopes of leading to new research and, in effect, providing a useful text with problems approachable for undergraduate students and up. … The author provides many short proofs that illustrate the different types of proof techniques used to solve these types of graph theory problems. Additionally, the author has included many open questions to show some direction in which to take one's research.” (John Asplund, Mathematical Reviews, November, 2016)<p></p>

This book describes kaleidoscopic topics that have developed in the area of graph colorings. Unifying current material on graph coloring, this book describes current information on vertex and edge colorings in graph theory, including harmonious colorings, majestic colorings, kaleidoscopic colorings and binomial colorings.  Recently there have been a number of breakthroughs in vertex colorings that give rise to other colorings in a graph, such as graceful labelings of graphs that have been reconsidered under the language of colorings.

The topics presented in this book include sample detailed proofs and illustrations, which depicts elements that are often overlooked. This book is ideal for graduate students and researchers in graph theory, as it covers a broad range of topics and makes connections between recent developments and well-known areas in graph theory.

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This book describes kaleidoscopic topics that have developed in the area of graph colorings. Unifying current material on graph coloring, this book describes current information on vertex and edge colorings in graph theory, including harmonious colorings, majestic colorings, kaleidoscopic colorings and binomial colorings.

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1. Introduction.- 2. Binomial Edge Colorings.- 3. Kaleidoscopic Edge Colorings.- 4. Graceful Vertex Colorings.- 5.Harmonious Vertex Colorings.- 6. A Map Coloring Problem.- 7. Set Colorings.- 8. Multiset Colorings.- 9. Metric Colorings.- 10. Sigma Colorings.- 11. Modular Colorings.- 12. A Banquet Seating Problem.- 13. Irregular Colorings.- 14. Recognizable Colorings.- References.- Index. 
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Assembles the latest research on chromatic graph theory, vertex colorings, edge colorings, binomial colorings, kaleidoscopic colorings and majestic colorings Contains detailed proofs and illustrations Provides a number of new problems and topics to study?
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GPSR Compliance The European Union's (EU) General Product Safety Regulation (GPSR) is a set of rules that requires consumer products to be safe and our obligations to ensure this. If you have any concerns about our products you can contact us on ProductSafety@springernature.com. In case Publisher is established outside the EU, the EU authorized representative is: Springer Nature Customer Service Center GmbH Europaplatz 3 69115 Heidelberg, Germany ProductSafety@springernature.com
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Produktdetaljer

ISBN
9783319305165
Publisert
2016-04-07
Utgiver
Vendor
Springer International Publishing AG
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Research, P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet

Forfatter