Variants Of Magic Labeling For Certain Graphs

Variants of Magic Labeling for Certain Graphs, written by SRAVYA P R, is a comprehensive book that explores the fascinating world of graph theory and its relationship with magic labeling. Graph labeling is a technique that assigns unique values to vertices or edges of a graph to represent certain properties of the graph. One type of graph labeling is magic labeling, which assigns integer values to the vertices or edges of a graph such that certain conditions are satisfied.

The book discusses various types of graphs and their properties, such as regular graphs, complete graphs, bipartite graphs, trees, grid graphs, toroidal graphs, planar graphs, and non-planar graphs. It then delves into the different types of magic graphs, such as prime magic graphs, even magic graphs, odd magic graphs, consecutive magic graphs, total magic graphs, super magic graphs, vertex magic graphs, edge magic graphs, and antimagic graphs.

The book also covers topics such as isomorphic graphs, automorphism groups, cyclic groups, dihedral groups, permutation groups, and group actions, as well as the Cayley graph and the symmetric graph. Additionally, it discusses different types of magic labeling, including distance magic labeling, vertex partition, edge partition, sum product magic labeling, magic domination, graceful labeling, and more.

Throughout the book, the author uses various examples and applications, such as binary trees and Fibonacci cubes, to illustrate the concepts and techniques discussed. The book is a valuable resource for researchers and students interested in graph theory, magic labeling, and related fields. It provides a thorough and in-depth exploration of the topic, making it a must-read for anyone interested in this fascinating area of mathematics.