3-Equitable Prime Cordial Labeling of Standard Splitting Graphs

Authors

  • Philomena vs
  • Kavya b

Keywords:

Cordial labeling, 3-equitable Prime cordial labeling, Splitting graph, cycle, path, bistar and wheel

Abstract

A 3-equitable prime cordial labeling is extension of prime cordial labeling .Splitting graph S^` (G) was introduced by Sampath Kumar and Walikar. For a graph G the splitting graphS` of G is obtained by adding a new vertex v` corresponding to each vertex v of G such that N(v)=N(v^` ). In this paper we prove the splitting graph of cycleC_n, path P_n, bistar B_(n,n) and wheel W_n admits 3-equitable prime cordial labeling.

References

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[3] F. Harary Graph Theory, Addition-Wesley, Reading Mass, 1972.

[4] S.Murugesan et al “3-equitable Prime Cordial labeling of graphs”, Internatinal journal of Applied Information Systems, volume 5July 2013.

[5] Rosa A, (1966) “On certain valuation of the vertices of a Graph theory of graphs” Int.Symposium Rome, Gordon and Breach, N Y Dound, Paris pp. 349-355.

[6] E.Sampathkumar and H.B. Walikar, On Splitting Graph of a Graph, J.Karnatak Univ. Sci., vol 25(13)(1980), pp 13-16.

[7] M.Sundaram, R.Ponraj and S.Somasundaram, Prime cordial labeling of graphs, Journal of Indian Academy of Mathematics, vol 27(2005), pp 373-390

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Published

2025-11-25

How to Cite

[1]
V. S. Philomena and B. Kavya, “3-Equitable Prime Cordial Labeling of Standard Splitting Graphs”, Int. J. Comp. Sci. Eng., vol. 7, no. 5, pp. 30–34, Nov. 2025.