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.
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