Document Type

Journal Article

Department/Unit

Department of Mathematics

Abstract

A graph G = (V, E) with p vertices and q edges is called edge-magic if there is a bijection f : E → {1, 2, . . . , q} such that the induced mapping f+ : V → ℤp is a constant mapping, where f+ (u) ≡ v∈N (u) f(uv) (mod p). The edge-magic index set of a graph G is the set of positive integer k such that the k-fold of G is edge-magic. In this paper, we find the edge-magic index set of the second power of a path.

Publication Year

2015

Journal Title

Utilitas Mathematica

Volume number

97

Publisher

Utilitas Mathematica Publishing Incorporated

First Page (page number)

271

Last Page (page number)

286

Referreed

1

ISSN (print)

03153681

Keywords

Edge-magic, edge-magic index, edge-magic index set, power of path

Available for download on Wednesday, August 01, 2018

Included in

Mathematics Commons

Share

COinS