東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Color-induced graph colorings

Zhang, Ping.

Linked to FindBook

Google Book

Amazon

博客來

Color-induced graph colorings

Record Type:	Electronic resources : Monograph/item
Title/Author:	Color-induced graph colorings/ by Ping Zhang.
Author:	Zhang, Ping.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xiv, 118 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Graph coloring. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-20394-2
ISBN:	9783319203942

Color-induced graph colorings
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:

1041590
Graph coloring.

LC Class. No.: QA166.247

Dewey Class. No.: 511.56

Color-induced graph colorings
LDR:02500nmm a2200325 a 4500 001 2011093
003 DE-He213
005 20160309152612.0
006 m d
007 cr nn 008maaau
008 160417s2015 gw s 0 eng d
020 $a 9783319203942 $q (electronic bk.)
020 $a 9783319203935 $q (paper)
024 7 $a 10.1007/978-3-319-20394-2 $2 doi
035 $a 978-3-319-20394-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA166.247
072 7 $a PBV $2 bicssc
072 7 $a MAT013000 $2 bisacsh
082 0 4 $a 511.56 $2 23
090 $a QA166.247 $b .Z63 2015
100 1 $a Zhang, Ping. $3 1913977
245 1 0 $a Color-induced graph colorings $h [electronic resource] / $c by Ping Zhang.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xiv, 118 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8198
505 0 $a 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.
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.
650 0 $a Graph coloring. $3 1041590
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Graph Theory. $3 1567033
650 2 4 $a Combinatorics. $3 895617
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematics. $3 1566700
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-20394-2
950 $a Mathematics and Statistics (Springer-11649)