@inproceedings{7d3e61778e574f27945031e3790e9a55,
title = "Harmonious labeling on some join and cartesian product of graphs",
abstract = "LetG= (V, E) be a simple and undirected graph with V vertices and E edges. Consider a graphGwith E = V. An injectiveffromVto a set {0, 1, 2, . . ., E{\^a}1} such that the induced edge labeling given byf(xy) =g(x) +g(y) (mod E ) for any edgexyin the graph is also an injective function, is called harmonious labeling of a graphG. A harmonious graph is a graph which has a harmonious labeling. In this paper we show an existence of harmonious labeling onG+K2G+K2andG×P2, whereGis a harmonious unicyclic graph.",
keywords = "Cartesian product, Harmonious graph, Harmonious labeling, Join product, Unicyclic graph",
author = "Sugeng, {Kiki A.} and Gilang, {R. Arkan} and Silaban, {Denny R.}",
note = "Funding Information: Part of this research is supported by PITTA-B UI Research Grant No. NKB-0622/UN2.R3.1/HKP.05.00/2019. Publisher Copyright: {\textcopyright} 2020 American Institute of Physics Inc.. All rights reserved.; 4th IndoMS International Conference on Mathematics and its Applications, IICMA 2019 ; Conference date: 23-09-2019 Through 25-09-2019",
year = "2020",
month = sep,
day = "15",
doi = "10.1063/5.0017244",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Dadam Kusnandar and Yundari Yundari and Evi Noviani",
booktitle = "4th IndoMS International Conference on Mathematics and its Applications, IICMA 2019",
}