Magic and Antimagic Graphs Attributes, Observations and Challenges in Graph Labelings /

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 ma...

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Bibliographic Details
Main Authors: Bača, Martin (Author, http://id.loc.gov/vocabulary/relators/aut), Miller, Mirka (http://id.loc.gov/vocabulary/relators/aut), Ryan, Joe (http://id.loc.gov/vocabulary/relators/aut), Semaničová-Feňovčíková, Andrea (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
Edition:1st ed. 2019.
Series:Developments in Mathematics, 60
Subjects:
Online Access:Full Text via HEAL-Link
Description
Summary: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.
Physical Description:XV, 322 p. 165 illus. online resource.
ISBN:9783030245825
ISSN:1389-2177 ;
DOI:10.1007/978-3-030-24582-5