Developments in Mathematics

Magic and Antimagic Graphs

Attributes, Observations and Challenges in Graph Labelings

Authors: Baca, M., Miller, M., Ryan, J., Semanicova-Fenovicikova, A.

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  • Collects the most significant results in magic and antimagic labeling, and presents them in a logical and ordered fashion
  • Includes easy to follow proofs to identify strategies and techniques
  • More than 150 illustrations of graphs with labelings to aid comprehension
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eBook 71,68 €
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Hardcover 124,79 €
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Softcover 88,39 €
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About this book

Magic and antimagic labelings are among the oldest labeling schemes in graph theory. This book takes readers on a journey through these labelings, from early beginnings with magic squares up to the latest results and beyond.

Starting from the very basics, the book offers a detailed account of all magic and antimagic type labelings of undirected graphs. Long-standing problems are surveyed and presented along with recent results in classical labelings. In addition, the book covers an assortment of variations on the labeling theme, all in one self-contained monograph.

Assuming only basic familiarity with graphs, this book, complete with carefully written proofs of most results, is an ideal introduction to graph labeling for students learning the subject. More than 150 open problems and conjectures make it an invaluable guide for postgraduate and early career researchers, as well as an excellent reference for established graph theorists.

About the authors

Professor Martin Bača completed his PhD at Comenius University in 1992. He has written over 150 journal papers on graph labelings and metric dimension of graphs. He has supervised 10 PhD students and is an editorial board member of three scientific journals.
Emeritus Professor Mirka Miller completed her PhD from the University of New South Wales in 1990 under the supervision of Jenny Seberry. She has written over 200 academic articles and conference presentations, many on different aspects of graph labeling. Professor Miller launched the successful conference series IWOGL (International Workshop on Graph Labelings). She was part of various teams that introduced such graph labeling schemes as Vertex Antimagic Total Labeling (VATL), Edge Antimagic Total Labeling (EATL), Edge Irregular Total Labeling and Vertex Irregular Total Labeling. It is a testament to her work that articles are still being published under her name more than 3 years since she sadly passed away.
Dr Joe Ryan received his PhD from the University of Newcastle, Australia in 2004. Since then he has authored over 100 journal and refereed conference publications with almost half of these being in the field of graph labeling. Dr Ryan has been on the supervisory team of 11 successful PhD completions with 3 of those being related to graph labeling. He is a member of the IWOGL Steering Committee.
Associate Professor Andrea Semaničová-Feňovčíková received her PhD from Pavol Jozef Šafárik University in 2006. Her scientific interest covers graph labeling and metric dimension of graphs where she has published over 60 journal papers. Three PhD students are working under her supervision. She is a member of the editorial board of two scientific journals.

Reviews

“This book is especially relevant for senior undergraduate or postgraduate students with an interest in discrete mathematical structures or a major in graph labeling … . a valuable guide for postgraduate and early career researchers, as well as an excellent reference for graph theorists.” (Ioan Tomescu, zbMATH 1429.05001, 2020)

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 71,68 €
price for Spain (gross)
  • ISBN 978-3-030-24582-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 124,79 €
price for Spain (gross)
  • ISBN 978-3-030-24581-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 88,39 €
price for Spain (gross)
  • ISBN 978-3-030-24584-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Magic and Antimagic Graphs
Book Subtitle
Attributes, Observations and Challenges in Graph Labelings
Authors
Series Title
Developments in Mathematics
Series Volume
60
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-24582-5
DOI
10.1007/978-3-030-24582-5
Hardcover ISBN
978-3-030-24581-8
Softcover ISBN
978-3-030-24584-9
Series ISSN
1389-2177
Edition Number
1
Number of Pages
XV, 322
Number of Illustrations
165 b/w illustrations
Topics