Magic and Antimagic Graphs: Attributes, Observations and Challenges in Graph Labelings (Developments in Mathematics, #60)

by Martin Baca, Mirka Miller, Joe Ryan, and Andrea Semanicova-Fenovcikova

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Book cover for Magic and Antimagic Graphs

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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.

  • ISBN13 9783030245818
  • Publish Date 27 September 2019
  • Publish Status Active
  • Publish Country CH
  • Imprint Springer Nature Switzerland AG
  • Edition 1st ed. 2019
  • Format Hardcover
  • Pages 322
  • Language English