Irregularity in Graphs / by Akbar Ali, Gary Chartrand, Ping Zhang.

Format:

Book

Author/Creator:

Shaikh, Ali Akbar, author.

Chartrand, Gary, author.

Zhang, Ping, 1957- author.

Series:

SpringerBriefs in Mathematics, 2191-8201

Language:

English

Subjects (All):

Graph theory.

Graph Theory.

Local Subjects:

Graph Theory.

Physical Description:

1 online resource (113 pages)

Edition:

1st ed. 2021.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2021.

Summary:

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. .

Contents:

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.

Notes:

Includes bibliographical references and index.

Print version record.

ISBN:

3-030-67993-4

OCLC:

1252762916