| Dewey Class |
511.5 |
| Titolo |
Line Graphs and Line Digraphs ([EBook] /) / by Lowell W. Beineke, Jay S. Bagga. |
| Autore |
Beineke, Lowell W. |
| Added Personal Name |
Bagga, Jay S. |
| Other name(s) |
SpringerLink (Online service) |
| Edition statement |
1st ed. 2021. |
| Pubblicazione |
Cham : : Springer International Publishing : : Imprint: Springer, , 2021. |
| Physical Details |
XVIII, 300 p. 200 illus., 58 illus. in color. : online resource. |
| Serie |
Developments in mathematics 2197-795X ; ; 68 |
| ISBN |
9783030813864 |
| Summary Note |
In the present era dominated by computers, graph theory has come into its own as an area of mathematics, prominent for both its theory and its applications. One of the richest and most studied types of graph structures is that of the line graph, where the focus is more on the edges of a graph than on the vertices. A subject worthy of exploration in itself, line graphs are closely connected to other areas of mathematics and computer science. This book is unique in its extensive coverage of many areas of graph theory applicable to line graphs. The book has three parts. Part I covers line graphs and their properties, while Part II looks at features that apply specifically to directed graphs, and Part III presents generalizations and variations of both line graphs and line digraphs. Line Graphs and Line Digraphs is the first comprehensive monograph on the topic. With minimal prerequisites, the book is accessible to most mathematicians and computer scientists who have had an introduction graph theory, and will be a valuable reference for researchers working in graph theory and related fields.: |
| Contents note |
Part I Line Graphs -- 1 Fundamentals of Line Graphs -- 2 Line Graph Isomorphisms -- 3 Characterization of Line Graphs -- 4 Spectral Properties of Line Graphs -- 5 Planarity of Line Graphs -- 6 Connectivity of Line Graphs -- 7 Tranversability in Line Graphs -- 8 Colorability in Line Graphs -- 9 Distance and Transitivity in Line Graphs -- Part II Line Digraphs -- 10 Fundamentals of Line Digraphs -- 11 Characterizations of Line Digraphs -- 12 Iterated Line Digraphs -- Part III Generalizations -- 13 Total Graphs and Total Digraphs -- 14 Path Graphs and Path Digraphs -- 15 Super Line Graphs and Super Line Digraphs -- 16 Line Graphs of Signed Graphs -- 17 The Krausz Dimension of Graph -- Reference. Index of Names -- Index of Definitions. |
| Mode of acces to digital resource |
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
https://doi.org/10.1007/978-3-030-81386-4 |
| Link alle Opere Legate |
Riferimenti soggetto: .
Computer science—Mathematics .
Discrete Mathematics .
Discrete Mathematics in Computer Science .
Graph Theory .
Authors:
Corporate Authors:
Series:
Classification:
|
|---|
