Face Magic and Bimagic Labeling on Some Classes of Graphs

Abstract

Graph theory has become highly significant as it is adapted to many fields in mathe- newlinematics, science and technology. The concepts are widely used in diversified areas such newlineas biochemistry (genomic), electrical engineering (communication networks and cod- newlineing theory), computer science (algorithms and computation) and operations research newline(scheduling). In other areas of pure mathematics, the strong combinatorial methods newlineused in graph theory have also been used to prove fundamental objectives. newlineOne of the most interesting problems in the area of graph theory is graph labeling. newlineThis concept recently acquired a lot of reputation, due to not only its mathematical newlineimportance, but because of the wide range of applications in day today scenario. Rosa newlinefirst proposed the concept of graph labeling in 1967. Graph labeling is assigning the newlineintegers to graph vertices or graph edges, or both, subject to certain unique constraints. newlineThe categories of graph labeling includes vertex labeling, edge labeling and total labeling. newlineNumerous labeling techniques have been studied in substantial articles newline