NSF-CBMS Regional Research Conference in the
Mathematical Sciences held at Iowa State University, Ames, IA
July 12–16, 2010
Partially supported by the National Science Foundation.
The author acknowledges support from the Conference Board of the
Mathematical Sciences and NSF grant DMS-0938261
2000 Mathematics Subject Classification. Primary 05C50; Secondary 05B35, 05C20,
15A15, 15A18, 15B35.
For additional information and updates on this book, visit
Library of Congress Cataloging-in-Publication Data
Brualdi, Richard A.
The mutually beneficial relationship of graphs and matrices / Richard A. Brualdi.
p. cm. — (CBMS regional conference series in mathematics ; no. 115)
Includes bibliographical references and index.
ISBN 978-0-8218-5315-3 (alk. paper)
1. Matrices. 2. Graph theory. 3. Combinatorial analysis. 4. Algebras, Linear. I. Title.
Copying and reprinting. Individual readers of this publication, and nonprofit libraries
acting for them, are permitted to make fair use of the material, such as to copy a chapter for use
in teaching or research. Permission is granted to quote brief passages from this publication in
reviews, provided the customary acknowledgment of the source is given.
Republication, systematic copying, or multiple reproduction of any material in this publication
is permitted only under license from the American Mathematical Society. Requests for such
permission should be addressed to the Acquisitions Department, American Mathematical Society,
201 Charles Street, Providence, Rhode Island 02904-2294 USA. Requests can also be made by
e-mail to email@example.com.
c 2011 by the American Mathematical Society. All rights reserved.
The American Mathematical Society retains all rights
except those granted to the United States Government.
Printed in the United States of America.
∞ The paper used in this book is acid-free and falls within the guidelines
established to ensure permanence and durability.
Visit the AMS home page at http://www.ams.org/
10 9 8 7 6 5 4 3 2 1 16 15 14 13 12 11