Digraphs: Theory, Algorithms and Applications

✍ Scribed by Jørgen Bang-Jensen PhD, Gregory Gutin MSc, PhD (auth.)

• Publisher: Springer London
• Year: 2002
• Tongue: English
• Leaves: 769
• Category: Library

✦ Synopsis

The study of directed graphs has developed enormously over recent decades, yet no book covers more than a tiny fraction of the results from more than 3000 research articles on the topic. Digraphs is the first book to present a unified and comprehensive survey of the subject. In addition to covering the theoretical aspects, including detailed proofs of many important results, the authors present a number of algorithms and applications. The applications of digraphs and their generalizations include among other things recent developments in the Travelling Salesman Problem, genetics and network connectivity. More than 700 exercises and 180 figures will help readers to study the topic while open problems and conjectures will inspire further research.
This book will be essential reading and reference for all graduate students, researchers and professionals in mathematics, operational research, computer science and other areas who are interested in graph theory and its applications.

✦ Table of Contents

Front Matter....Pages i-xxii
Basic Terminology, Notation and Results....Pages 1-44
Distances....Pages 45-93
Flows in Networks....Pages 95-170
Classes of Digraphs....Pages 171-226
Hamiltonicity and Related Problems....Pages 227-280
Hamiltonian Refinements....Pages 281-343
Global Connectivity....Pages 345-414
Orientations of Graphs....Pages 415-473
Disjoint Paths and Trees....Pages 475-544
Cycle Structure of Digraphs....Pages 545-590
Generalizations of Digraphs....Pages 591-638
Additional Topics....Pages 639-682
Back Matter....Pages 683-754

✦ Subjects

Combinatorics; Optimization; Calculus of Variations and Optimal Control; Optimization; Algorithms; Algorithm Analysis and Problem Complexity