The odd harmonious labeling of matting graph

K. Mumtaz, P. John, D. R. Silaban

Research output: Contribution to journalConference articlepeer-review

Abstract

Let G(p, q) be a graph that consists of p vertices and q edges, where V is the set of vertices and E is the set of edges of G. A graph G(p, q) is odd harmonious if there exists an injective function f that labels the vertices of G by integer from 0 to 2q − 1 that induced a bijective function f defined by f(uv) = f(u) + f(v) such that the labels of edges are odd integer from 1 to 2q − 1. A graph that admits harmonious labeling is called a harmonious graph. A matting graph is a chain of C4 −snake graph. A matting graph can be view as a variation of the grid graph. In this paper, we prove that the matting graph is an odd harmonious graph.

Original languageEnglish
Article number012050
JournalJournal of Physics: Conference Series
Volume1722
Issue number1
DOIs
Publication statusPublished - 7 Jan 2021
Event10th International Conference and Workshop on High Dimensional Data Analysis, ICW-HDDA 2020 - Sanur-Bali, Indonesia
Duration: 12 Oct 202015 Oct 2020

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