![](https://d3ilqtpdwi981i.cloudfront.net/C56UPnp_Mts3DtDr5MafP9yWemE=/425x550/smart/https://bepress-attached-resources.s3.amazonaws.com/uploads/63/b7/73/63b77335-93c6-4f05-89d8-05774c4b3842/thumbnail_8f9e0cdf-e2cb-4369-b9cb-a918cfcd3310.jpg)
Article
Characterization of completely k-magic regular graphs
Mathematics Faculty Publications
Document Type
Article
Publication Date
1-1-2016
Disciplines
Abstract
Let k ∈ N and c ∈ Zk. A graph G is said to be c-sum k-magic if there is a labeling ` : E(G) → Zk \ {0} such that P u∈N(v) `(uv) ≡ c (mod k) for every vertex v of G, where N(v) is the neighborhood of v in G. We say that G is completely k-magic whenever it is c-sum k-magic for every c ∈ Zk. In this paper, we characterize all completely k-magic regular graphs.
Citation Information
Eniego, A. A., & Garces, I. J. L. (2017, October). Characterization of completely k-magic regular graphs. In Journal of Physics: Conference Series (Vol. 893, No. 1, p. 012039). IOP Publishing.