?-Graceful Labeling In the Perspective of Graph Operations on Bistar

Authors

  • Mehul Chaurasiya Department Of Mathematics, Shree H.N.Shukla College Of Science, Rajkot, India
  • Mehul Rupani Department Of Mathematics, Shree H.N.Shukla College Of Science, Rajkot, India

DOI:

https://doi.org/10.26438/ijcse/v9i1.3639

Keywords:

Graceful labeling, Bistar Graph, injective function

Abstract

A graceful labelling of a graph G , if a function is an injective function and the induced function is defined by ;where then the resultant edge labels are distinct[3]. Here we discuss about some basic graph like as splitting graph of bistar ,degree splitting graph of bistar ,shadow graph of bistar ,restricted square graph of bistar , barycentric sub division of bistar and corona product ofbistar with K1 admits graceful labelling.

References

[1] M.I.Bosamia, K.K.Kanani, “Divisor cordial labeling in the context of graph operations on Bistar”, Global Journal of Pure and Applied Mathematics, Volume 12, Number 3, pp.2605-2618, 2016.

[2] I.Cahit, Cordial Graphs, “Aweakerversion of graceful and harmonious graphs”, Ars Combinatoria, 23, pp.201–207, 1987

[3] M.Chaurasiya, M.Rupani, S.Khunti, “?-graceful labeling of merge graph,bistar graph,friendship graph,C_d^n relation graph”, International journal of Technical Innovation in Modern Engineering & Science,Vol.6, Issue 11, pp.7-14, Nov-2020.

[4] J.A. Gallian, “A Dynamic Survey of graph labeling”, The Electronics Journal of Combinatorics, Dec 20, 2013.

[5] J. Gross and J. Yellen, Handbook of Graph Theory, CRC Press, 2004.

[6] R.Uma ,S.Divya , “Cube difference labeling of star related graphs”, International Journal Of Scientific Research In Computer Science, Engineering and Information Technology, 2(4), pp.298- 301, 2017.

[7] R.Varatharajan, S.Navanaeethakrishnan, K.Nagarajan, “Divisor cordial graphs”, International Journal of Mathematical Combinatorics, 4, pp.15–25, 2011.

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Published

2021-01-31
CITATION
DOI: 10.26438/ijcse/v9i1.3639
Published: 2021-01-31

How to Cite

[1]
M. Chaurasiya and M. Rupani, “?-Graceful Labeling In the Perspective of Graph Operations on Bistar”, Int. J. Comp. Sci. Eng., vol. 9, no. 1, pp. 36–39, Jan. 2021.

Issue

Vol. 9 No. 1 (2021): IJCSE January Edition

Section

Research Article

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