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Irregularity in graphs

Ali, Akbar.

Irregularity in graphs

Record Type:	Electronic resources : Monograph/item
Title/Author:	Irregularity in graphsby Akbar Ali, Gary Chartrand, Ping Zhang.
Author:	Ali, Akbar.
other author:	Chartrand, Gary.
Published:	Cham :Springer International Publishing :2021.
Description:	x, 109 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Graph theory.
Online resource:	https://doi.org/10.1007/978-3-030-67993-4
ISBN:	9783030679934$q(electronic bk.)

Irregularity in graphs
Ali, Akbar.

Irregularity in graphs[electronic resource] /by Akbar Ali, Gary Chartrand, Ping Zhang. - Cham :Springer International Publishing :2021. - x, 109 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

1. Introduction -- 2. Locally Irregular Graphs -- 3. F-Irregular Graphs -- 4. Irregularity Strength -- 5. Rainbow Mean Index -- 6. Royal Colorings -- 7. Traversable Irregularity -- 8. Ascending Subgraph Decompositions -- Index.

Die Theorie der regularen Graphen (The Theory of Regular Graphs), written by the Danish Mathematician Julius Petersen in 1891, is often considered the first strictly theoretical paper dealing with graphs. In the 130 years since then, regular graphs have been a common and popular area of study. While regular graphs are typically considered to be graphs whose vertices all have the same degree, a more general interpretation is that of graphs possessing some common characteristic throughout their structure. During the past several decades, however, there has been some increased interest in investigating graphs possessing a property that is, in a sense, opposite to regularity. It is this topic with which this book deals, giving rise to a study of what might be called irregularity in graphs. Here, various irregularity concepts dealing with several topics in graph theory are described, such as degrees of vertices, graph labelings, weightings, colorings, graph structures, Eulerian and Hamiltonian properties, graph decompositions, and Ramsey-type problems.

ISBN: 9783030679934$q(electronic bk.)

Standard No.: 10.1007/978-3-030-67993-4doiSubjects--Topical Terms:

181880
Graph theory.

LC Class. No.: QA166 / .A55 2021

Dewey Class. No.: 511.5

Irregularity in graphs
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245 1 0 $a Irregularity in graphs $h [electronic resource] / $c by Akbar Ali, Gary Chartrand, Ping Zhang.
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490 1 $a SpringerBriefs in mathematics, $x 2191-8198
505 0 $a 1. Introduction -- 2. Locally Irregular Graphs -- 3. F-Irregular Graphs -- 4. Irregularity Strength -- 5. Rainbow Mean Index -- 6. Royal Colorings -- 7. Traversable Irregularity -- 8. Ascending Subgraph Decompositions -- Index.
520 $a Die Theorie der regularen Graphen (The Theory of Regular Graphs), written by the Danish Mathematician Julius Petersen in 1891, is often considered the first strictly theoretical paper dealing with graphs. In the 130 years since then, regular graphs have been a common and popular area of study. While regular graphs are typically considered to be graphs whose vertices all have the same degree, a more general interpretation is that of graphs possessing some common characteristic throughout their structure. During the past several decades, however, there has been some increased interest in investigating graphs possessing a property that is, in a sense, opposite to regularity. It is this topic with which this book deals, giving rise to a study of what might be called irregularity in graphs. Here, various irregularity concepts dealing with several topics in graph theory are described, such as degrees of vertices, graph labelings, weightings, colorings, graph structures, Eulerian and Hamiltonian properties, graph decompositions, and Ramsey-type problems.
650 0 $a Graph theory. $3 181880
700 1 $a Chartrand, Gary. $3 192455
700 1 $a Zhang, Ping. $3 243271
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950 $a Mathematics and Statistics (SpringerNature-11649)