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GRAPH THEORY WITH APPLICATIONS

GRAPH THEORY . with APPLICATIONS . J. A. Bondy and U. S. R. Murty Department of Combina tories and Optimization, University of Waterloo, Ontario, Canada NORfH-HOLLAND. New York Amsterdam Oxford Bondy and Muny 1976. First published in Great Britain 1976 by The Macmillan Press Ltd. First published in the 1976 by Elsevier Science Publishing Co., Inc. 52 Vanderbilt Avenue, New York, 10017. Fifth Printing, 1982. Sole Distributor in the : Elsevier Science Publishing Co., Inc. Library of Congress Cataloging in Publication Data Bondy, John Adrian. GRAPH THEORY with APPLICATIONS . Bibliography: p. lncludes index. 1. GRAPH THEORY . 1. Murty, , joint author. II. Title. 1979 511 '.5 75-29826. ISBN 0.:444-19451-7. AU rights reserved. No part of this publication may be reproduced or transmitted, in any form or by any means, without permission. Printed in the United States of America To our parents Preface This book is intended as an introduction to GRAPH THEORY .

of figure 1.3 are. Much of graph theory is concerned with the study of simple graphs. We use the symbols v(G) and e(G) to denote the numbers of vertices and edges in graph G. Throughout the book the letter G denotes a graph. Moreover, when just one graph is under discussion, we usually denote this graph by G.

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