Line graphs and line digraphs
Beineke, Lowell W.
Line graphs and line digraphs - Cham : Springer, 2021 - xviii, 300 p. ; ill., (some col.), 25 cm - Developments in mathematics, 2197-795X ; v68 .
Includes bibliographical references and indexes.
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.
9783030813840
Graph theory
Adjacency matrix
Chromatic inde
Clique graph
Complete bipartite graphs
Connected graph
Induced subgraph
Petersen graph
Planar graph
Root graph
Signed graph
Total graph
Triangle-free graph
511.5 / BEI
Line graphs and line digraphs - Cham : Springer, 2021 - xviii, 300 p. ; ill., (some col.), 25 cm - Developments in mathematics, 2197-795X ; v68 .
Includes bibliographical references and indexes.
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.
9783030813840
Graph theory
Adjacency matrix
Chromatic inde
Clique graph
Complete bipartite graphs
Connected graph
Induced subgraph
Petersen graph
Planar graph
Root graph
Signed graph
Total graph
Triangle-free graph
511.5 / BEI