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This book is concerned with results in graph theory in which linear algebra and matrix theory play an important role. Although it is generally accepted that linear algebra can be an important component in the study of graphs, traditionally, graph theorists have remained by and large less than enthusiastic about using linear algebra. The results discussed here are usually treated under algebraic graph theory, as outlined in the classic books by Biggs [20] and by Godsil and Royle [39]. Our emphasis on matrix techniques is even greater than what is found in these and perhaps the subject matter discussed here might be termed linear algebraic graph theory to highlight this aspect.
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Universitext
www.springer.com/series/223
For other titles published in this series, go to
R.B. Bapat
Graphs and Matrices
ABC
Sheldon Axler, San Francisco State University
Carles Casacuberta, Universitat de Barcelona
Angus MacIntyre, Queen Mary, University of London
Kenneth Ribet, University of California, Berkeley
Endre Süli, University of Oxford
Wojbor Woyczy
´
nski, Case Western Reserve University
British Library Cataloguing in Publication Data
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mation contained in this book and cannot accept any legal responsibility or liability for any errors or
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Printed on acid-free paper
Springer is part of Springer Science+Business Media (www.springer.com)
R.B. Bapat
Vincenzo Capasso, Università degli Studi di Milano
Indian Statistical Institute
Editorial board:
New Delhi 110016
India
rbb@isid.ac.in
Claude Sabbah, CNRS, École Polytechnique
e-ISBN 978-1-84882-981-7
Library of Congress Control Number: 2010927407
°
Springer London Dordrecht Heidelberg New York
A catalogue record for this book is available from the British Library
permitted under the Copyright, Designs and Patents Act 1988, this publication may only be repro-
DOI 10.1007/978-1-84882-981-7
ISBN 978-1-84882-980-0
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Mathematics Subject Classification (2010): 05C05, 05C12, 05C20, 05C38, 05C50, 05C57, 05C81,
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15A09, 15A15, 15A18, 15B48
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