Graceful centers of graceful graphs and universal graceful graphs.


  • H. M. Makadia Lukhdhirji Engineering College.
  • H. M. Karavadiya Shri Labhubhai Trivedi Institute Of Engineering And Technology.
  • V. J. Kaneria Saurashtra University.


Graceful center of a graceful graph, Universal graceful labeling, Ring sum of two graphs


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.

Author Biography

V. J. Kaneria, Saurashtra University.

Department of Mathematics.


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How to Cite

H. M. Makadia, H. M. Karavadiya, and V. J. Kaneria, “Graceful centers of graceful graphs and universal graceful graphs.”, Proyecciones (Antofagasta, On line), vol. 38, no. 2, pp. 305-314, May 2019.




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