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, examples, and illustrations. A new labeling with a connection to the four color theorem is described to aid mathematicians to initiate new methods and techniques to study classical coloring problems from a new perspective. Researchers and graduate students interested in graph labelings will find the concepts and problems featured in this book valuable for finding new areas of research.
Rezensionen / Stimmen
"The writing is crisp, clear and instructive, appropriate for undergraduates with a grasp of graph theory fundamentals. . The book is best suited as a companion text to introduce undergraduate students to graph labeling problems, perhaps via a research workshop." (André E. Kézdy, Mathematical Reviews, April, 2020)
Reihe
Sprache
Verlagsort
Verlagsgruppe
Springer International Publishing
Illustrationen
77
2 farbige Abbildungen, 77 s/w Abbildungen
XIII, 89 p. 79 illus., 2 illus. in color.
Dateigröße
ISBN-13
978-3-030-16863-6 (9783030168636)
DOI
10.1007/978-3-030-16863-6
Schweitzer Klassifikation
1 Introduction.- 2 Graceful Labelings.- 3 Harmonious Labelings.- 4 Prime Labelings.- 5 Additive Labelings.- 6 Zonal Labelings.
