Graceful centers of graceful graphs and universal graceful graphs.

Makadia, H. M. ^[2] ; Karavadiya, H. M. ^[3] ; Kaneria, V. J. ^[1]
1. [1] Saurashtra University
  
  Saurashtra University
  
  India
2. [2] Lukhdhirji Engineering College.
3. [3] Shri Labhubhai Trivedi Institute Of Engineering And Technology.
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Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 38, Nº. 2, 2019, págs. 305-314
Idioma: inglés
DOI: 10.4067/s0716-09172019000200305
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Resumen
- In this paper we define graceful center of a graceful graph. We proved any graph G which admits α-labeling has at least four graceful centers. We also defined a new strong concept of universal graceful graph. Some results on ring sum of two graphs for their graceful labeling are proved.
Referencias bibliográficas
- A. Rosa, On certain valuation of graph, Theory of Graphs (Rome, July 1966), Goden and Breach, N. Y. and Paris, pp. 349-355, (1967).
- C. Hoede and H. Kuiper, All wheels are graceful, Util. Math., 14, pp. 311, (1987).
- F. Harary, Graph theory, Narosa Publishing House, New Delhi, (2001).
- J. A. Gallian, The Electronics Journal of Combinatorics, 18, DS6, (2015).