Color-Induced Graph Colorings / by Ping Zhang
| データ種別 | 電子書籍 |
|---|---|
| 版 | 1st ed. 2015. |
| 出版者 | Cham : Springer International Publishing : Imprint: Springer |
| 出版年 | 2015 |
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| 書誌ID | OB01016547 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | 1. Introduction -- 2. The Irregularity Strength of a Graph -- 3. Modular Sum-Defined Irregular Colorings -- 4. Set-Defined Irregular Colorings -- 5. Multiset-Defined Irregular Colorings -- 6. Sum-Defined Neighbor-Distinguishing Colorings -- 7. Modular Sum-Defined Neighbor-Distinguishing Colorings -- 8. Strong Edge Colorings of Graphs -- 9. Sum-Defined Chromatic Indices -- References -- Index. License restrictions may limit access Summary: A comprehensive treatment of color-induced graph colorings is presented in this book, emphasizing vertex colorings induced by edge colorings. The coloring concepts described in this book depend not only on the property required of the initial edge coloring and the kind of objects serving as colors, but also on the property demanded of the vertex coloring produced. For each edge coloring introduced, background for the concept is provided, followed by a presentation of results and open questions dealing with this topic. While the edge colorings discussed can be either proper or unrestricted, the resulting vertex colorings are either proper colorings or rainbow colorings. This gives rise to a discussion of irregular colorings, strong colorings, modular colorings, edge-graceful colorings, twin edge colorings and binomial colorings. Since many of the concepts described in this book are relatively recent, the audience for this book is primarily mathematicians interested in learning some new areas of graph colorings as well as researchers and graduate students in the mathematics community, especially the graph theory community |
| 著者標目 | *Zhang, Ping SpringerLink (Online service) |
| 統一書名標目 | SpringerBriefs in Mathematics, |
| 件 名 | LCSH:Mathematics LCSH:Combinatorics FREE:Mathematics FREE:Graph Theory FREE:Combinatorics |
| 分 類 | LCC:QA166-166.247 DC23:511.5 |
| 巻冊次 | ISBN:9783319203942 RefWorks出力（各巻） print ; ISBN:9783319203935 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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