Geometric Structure of Chemistry-Relevant Graphs Zigzags and Central

The central theme of the present book is zigzags and central-circuits of three- or four-regular plane graphs, which allow a double covering or covering of the edgeset to be obtained. The book presents zigzag and central circuit structures of geometric ful

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Michel-Marie Deza Mathieu Dutour Sikirić Mikhail Ivanovitch Shtogrin

Geometric Structure of ChemistryRelevant Graphs Zigzags and Central Circuits

Forum for Interdisciplinary Mathematics Volume 1

Editor-in-chief P.V. Subrahmanyam, Indian Institute of Technology Madras, Chennai, India Editorial Board Bhu Dev Sharma, Forum for Interdisciplinary Mathematics, Meerut, India Janusz Matkowski, University of Zielona Góra, Zielona Góra, Poland Mathieu Dutour Sikirić, Institute Rudjer Boúsković, Zagreb, Croatia Thiruvenkatachari Parthasarathy, Chennai Mathematical Institute, Kelambakkam, India Yogendra Prasad Chaubey, Concordia University, Montréal, Canada

The Forum for Interdisciplinary Mathematics (FIM) series publishes high-quality monographs and lecture notes in mathematics and interdisciplinary areas where mathematics has a fundamental role, such as statistics, operations research, computer science, financial mathematics, industrial mathematics, and bio-mathematics. It reflects the increasing demand of researchers working at the interface between mathematics and other scientific disciplines.

More information about this series at http://www.springer.com/series/13386

Michel-Marie Deza Mathieu Dutour Sikirić Mikhail Ivanovitch Shtogrin •

Geometric Structure of Chemistry-Relevant Graphs Zigzags and Central Circuits

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Michel-Marie Deza École Normale Supérieure, Paris and University of Campinas Campinas Brazil

Mikhail Ivanovitch Shtogrin Russian Academy of Sciences Steklov Mathematical Institute Moscow Russia

Mathieu Dutour Sikirić Institute Rudjer Boúsković Zagreb, Hrvatska Croatia

ISSN 2364-6748 ISSN 2364-6756 (electronic) Forum for Interdisciplinary Mathematics ISBN 978-81-322-2448-8 ISBN 978-81-322-2449-5 (eBook) DOI 10.1007/978-81-322-2449-5 Library of Congress Control Number: 2015938313 Springer New Delhi Heidelberg New York Dordrecht London © Springer India 2015 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer (India) Pvt. Ltd. is p