@inproceedings{2daa12a6938e4af0b43cb10869301f50,

title = "On odd harmonious labeling of m -shadow of cycle, gear with pendant and Shuriken graphs",

abstract = "A graph G = (V(G), E(G)) with p vertices and q edges is called (p, q)-graph. An injection f is said to be odd harmonious labeling of a (p, q)-graph G if there is an injective function f from a set of vertices V(G) to a set {0, 1, 2, .., 2q - 1} such that the induced function f∗ from a set of edges E(G) to a set of odd number {1, 3, 5, . 2q - 1} defined by f ∗ (uv)=f (u)+f (v) is a bijection. A graph G is said to be odd harmonious if there exists an odd harmonious labeling for G. In this paper we proved that several product graphs, such as m-shadow of cycle Dm (Cn), gear with pendant graphs and Shuriken graphs, are odd harmonious graphs.",

keywords = "cycle graph, gear graph, gear with pendant graph, m-shadow graph, odd harmonious labeling, shuriken graph",

author = "Sugeng, {Kiki A.} and S. Surip and R. Rismayati",

year = "2019",

month = dec,

day = "19",

doi = "10.1063/1.5139141",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Herni Utami and Kusumo, {Fajar Adi} and Nanang Susyanto and Yeni Susanti",

booktitle = "Proceedings of the 8th SEAMS-UGM International Conference on Mathematics and Its Applications 2019",

note = "8th SEAMS-UGM International Conference on Mathematics and Its Applications 2019: Deepening Mathematical Concepts for Wider Application through Multidisciplinary Research and Industries Collaborations ; Conference date: 29-07-2019 Through 01-08-2019",

}