Graph Theory With Applications
Book information
Description
This book is intended as an introduction to graph theory. Our aim has beento present what we consider to be the basic material, together with a widevariety of applications, both to other branches of mathematics and toreal-world problems. Included are simple new proofs of theorems of Brooks,Chvatal, Tutte and Vizing. The applications have been carefully selected,and are treated in some depth. We have chosen to omit all so-called'applications' that employ just the language of graphs and no theory. Theapplications appearing at the end of each chapter actually make use oftheory developed earlier in the same chapter. We have also stressed theimportance of efficient methods of problems. Several good algorithms are and their efficiencies are analyzed. We do not, however, go into the computer implementation of these algorithms.
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