How to Label a Graph
This book depicts graph labelings that have led to thought-provoking problems and conjectures. Problems and conjectures in graceful labelings, harmonious labelings, prime labelings, additive labelings, and zonal labelings are introduced with fundamentals,
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Gary Chartrand Cooroo Egan Ping Zhang
How to Label a Graph
123
SpringerBriefs in Mathematics Series Editors Nicola Bellomo, Torino, Italy Michele Benzi, Pisa, Italy Palle Jorgensen, Iowa City, USA Tatsien Li, Shanghai, China Roderick Melnik, Waterloo, Canada Otmar Scherzer, Linz, Austria Benjamin Steinberg, New York City, USA Lothar Reichel, Kent, USA Yuri Tschinkel, New York City, USA George Yin, Detroit, USA Ping Zhang, Kalamazoo, USA Editorial Board Member Luis Gustavo Nonato, São Carlos, Rio Grande do Sul, Brazil Paulo J. S. Silva, Campinas, São Paulo, Brazil
SpringerBriefs in Mathematics showcases expositions in all areas of mathematics and applied mathematics. Manuscripts presenting new results or a single new result in a classical field, new field, or an emerging topic, applications, or bridges between new results and already published works, are encouraged. The series is intended for mathematicians and applied mathematicians.
BCAM SpringerBriefs Editorial Board Enrique Zuazua Deusto Tech Universidad de Deusto Bilbao, Spain and Departamento de Matemáticas Universidad Autónoma de Madrid Cantoblanco, Madrid, Spain Irene Fonseca Center for Nonlinear Analysis Department of Mathematical Sciences Carnegie Mellon University Pittsburgh, USA Juan J. Manfredi Department of Mathematics University of Pittsburgh Pittsburgh, USA Emmanuel Trélat Laboratoire Jacques-Louis Lions Institut Universitaire de France Université Pierre et Marie Curie CNRS, UMR, Paris Xu Zhang School of Mathematics Sichuan University Chengdu, China BCAM SpringerBriefs aims to publish contributions in the following disciplines: Applied Mathematics, Finance, Statistics and Computer Science. BCAM has appointed an Editorial Board, who evaluate and review proposals. Typical topics include: a timely report of state-of-the-art analytical techniques, bridge between new research results published in journal articles and a contextual literature review, a snapshot of a hot or emerging topic, a presentation of core concepts that students must understand in order to make independent contributions. Please submit your proposal to the Editorial Board or to Francesca Bonadei, Executive Editor Mathematics, Statistics, and Engineering: [email protected].
More information about this series at http://www.springer.com/series/10030
Gary Chartrand Cooroo Egan Ping Zhang •
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How to Label a Graph
123
Gary Chartrand Department of Mathematics Western Michigan University Kalamazoo, MI, USA
Cooroo Egan Melbourne, VIC, Australia
Ping Zhang Department of Mathematics Western Michigan University Kalamazoo, MI, USA
ISSN 2191-8198 ISSN 2191-8201 (electronic) SpringerBriefs in Mathematics ISBN 978-3-030-16862-9 ISBN 978-3-030-16863-6 (eBook) https://doi.org/10.1007/978-3-030-16863-6 Mathematics Subject Classification (2010): 05C05, 05C10, 05C15, 05C45, 05C70, 05C78, 05C90 © The Author(s), under exclusive license to Springer Nature Switzerland AG 2019 This work is subject to copyright. All rights are solely and exclusively licensed, whether the whole or part
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