@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.}",

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",

note = "4th IndoMS International Conference on Mathematics and its Applications, IICMA 2019 ; Conference date: 23-09-2019 Through 25-09-2019",

}