Magic and Antimagic Graphs : Attributes, Observations and Challenges in Graph Labelings / Martin Bača, Mirka Miller, Joe Ryan, Andrea Semaničová-Feňovčíková

By:

Bača, Martin [VerfasserIn]

Contributor(s):

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Springer eBook Collection | Springer eBooks Mathematics and Statistics | Developments in mathematics ; volume 60Publisher: Cham : Springer, [2019]Copyright date: © 2019Description: 1 Online-Ressource (XV, 322 Seiten) : Illustrationen, DiagrammeISBN:

9783030245825

Subject(s):

Additional physical formats: 9783030245818 | Erscheint auch als: 978-3-030-24581-8 Druck-AusgabeMSC: MSC: *05-01 | 05C78 | 05C20LOC classification:

QA166-166.247

DOI: DOI: 10.1007/978-3-030-24582-5Online resources:

Summary: Preface -- 1 Introduction -- 2 Magic and supermagic graphs -- 3 Vertex-magic total labelings -- 4 Edge-magic total labelings -- 5 Vertex-antimagic total labelings -- 6 Edge-antimagic total labelings -- 7 Graceful and antimagic labelings -- 8 Conclusion -- Glossary of abbreviations used in the text -- Bibliography -- IndexSummary: 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 theoristsPPN: PPN: 167868144XPackage identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS

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