A Study on $\alpha-$graceful Labeling of Spade Graph


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Authors

  • Meera Meghpara School of Science, RK University, Rajkot, Gujarat, India
  • H. M. Karavadiya Labhubhai Trivedi Institute of Engineering and Technology, Rajkot, Gujarat, India
  • V. J. Kaneria Department of Mathematics, Saurashtra University, Rajkot, Gujarat, India

Keywords:

Graceful graph, $\alpha-$graceful graph, path union of a graph $G$, open star of a graph $G$, spade graph

Abstract

In this paper we have derived a new graph named spade graph. We have proved two copies of spade graph joined by an arbitrary path is $\alpha-$graceful, $n$ copies of spade graph joined by any vertex is $\alpha-$graceful, path union of $n$ copies of spade graph is $\alpha-$graceful and open star of finite copies of spade graph is also $\alpha-$graceful.

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Published

15-03-2021

How to Cite

Meera Meghpara, H. M. Karavadiya, & V. J. Kaneria. (2021). A Study on $\alpha-$graceful Labeling of Spade Graph. International Journal of Mathematics And Its Applications, 9(1), 113–117. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/108

Issue

Vol. 9 No. 1 (2021)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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