1. Harmonious Labeling for The Corona Graphs of Small Complete Graph.
- Author
-
Pradana, A. G., Utami, B., Silaban, D. R., and Sugeng, K. A.
- Subjects
GRAPH labelings ,COMPLETE graphs ,BIJECTIONS ,INJECTIVE functions ,GEOMETRIC vertices ,DRUG labeling ,LABELS - Abstract
Supposed G be a simple graph with a set of vertices (G), set of edges E(G), with | E(G)| = q. A graph G is a harmonious graph if there is an injective function f*: (G) → ℤq, such that the induced function f*: E (G) → ℤq defined by f*(xy) = f(x) + f(y), ∀xy ∈ E(G) is a bijective function. The function f is called harmonious labeling of G. It was known that a complete graph K
n is harmonious only for n ≤ 4 In this paper, we investigate the existence of harmonious labeling of the graphs from the corona operation between a complete graph K4 and Kn k̅n , and also between K5 and k̅n . [ABSTRACT FROM AUTHOR]- Published
- 2019
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