Special super edge-magic sequences on (q + 1,q) and (q,q) graphs

Abstract

We introduced a new concept of super edge–magic sequence (SEMS) of a super edge-magic graph (SEMG) with p vertices and q edges. The super edge-magic sequence of natural numbers is denoted by < xi >,1 ≤ i ≤ q. This sequence need not to be monotonic. In this paper, we project SEMS in different direction i.e., in the application point of view. Primarily, we discuss two special types of super edge-magic sequences of a super edge-magic graph (p, q) on p = q + 1 and p = q also drive a particular family of graphs like tree and unicyclic graphs. We finish the paper, by presenting some additional interesting properties of super edge-magic sequences.