大葉大學圖書館 |

Color-induced graph colorings[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	511.56
書名/作者:	Color-induced graph colorings/ by Ping Zhang.
作者:	Zhang, Ping.
出版者:	Cham : : Springer International Publishing :, 2015.
面頁冊數:	xiv, 118 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Graph coloring.
標題:	Mathematics.
標題:	Graph Theory.
標題:	Combinatorics.
ISBN:	9783319203942
ISBN:	9783319203935
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-20394-2

Color-induced graph colorings[electronic resource] /
Zhang, Ping.

Color-induced graph colorings[electronic resource] /by Ping Zhang. - Cham :Springer International Publishing :2015. - xiv, 118 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

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.

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.

ISBN: 9783319203942

Standard No.: 10.1007/978-3-319-20394-2doiSubjects--Topical Terms:

634214
Graph coloring.

LC Class. No.: QA166.247

Dewey Class. No.: 511.56

Color-induced graph colorings[electronic resource] /
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520 $a 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.
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