On Cm-Supermagicness of Book-Snake Graphs

Abstract

Graph labelling or valuation is a function that maps graph elements (vertices or edges) to numbers, usually positive integers [7]. In this work, we analyze the supermagicness of book-snake graphs. At first, we show that triangular book-snake graph S(3, n, s) admits a C3−supermagic labelling. Then by using these labellings and supermagicness of subdivision given in [10], Cm−supermagicness of polygonal book-snake graph S(m, n, s) is given since S(m, n, s) can be taught as a subdivision of S (3, n, s).