Abstract

Graph labeling admits a distinct place in Discrete Mathematics and Combinatorics. In 1998, Hikoe Enomoto et al. brought out the idea of super edge-magic (SEMC) labelling of graphs. In this article, we shall provide a complete solution to an open problem, regarding double stars St, t , proposed by W. D. Wallis & A. M. Marr [9], by exhibiting a super edge-magic labeling of St, t , for all possible values of t and t. We will also provide a SEMC labelling of union of cycles Cr being disjoint and various trees and exhibit super edge-magicness of some cases of Usmanian Ladders and planar graphs involving chains of C 5.

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