Proper D - Lucky Labeling on Arbitrary Super Subdivision of New Family of Graphs

Authors

  • Esakkiammal E Department of Mathematics, S.I.V.E.T. College, Gowrivakkam, Chennai. India
  • Thirusangu K Department of Mathematics, S.I.V.E.T. College, Gowrivakkam, Chennai. India
  • Seethalakshmi S Department of Mathematics , R.V. Govt. Arts college,Chengalpattu,Chennai, India

Keywords:

Proper d-lucky labeling, proper d-lucky number, arbitrary super subdivision

Abstract

In this paper, we prove the existence of proper d – lucky labeling of the arbitrary super subdivision of some new family of graphs (〖 P〗_(m ) ∶ Q_3 )and [〖 P〗_(m ) : C_n^((2))]graphs and their proper d- lucky numbers are obtained.

References

[1] D. Ahima Emilet and Indra Rajasingh, “d- lucky labeling of cycle of ladder, n- sunlet and Helm Graphs”, International Journal of Pure and Applied Mathematics, Vol. 109, No. 10, pp. 219-227, 2016.

[2] E. Esakkiammal, K. Thirusangu, S. Seethalakshmi, “d-lucky labeling of Arbitrary Super Subdivision of Some Graphs”, International Journal of Pure and Applied Mathematics, Vol. 113, No. 7, pp. 93-101, 2017.

[3] E. Esakkiammal, K. Thirusangu, S. Seethalakshmi, “Proper d-lucky labeling of Arbitrary Super Subdivision of Some New family of Star and Cycle Graphs”, (communicated…)

[4] F. Harary, “Graph Theory”, Addison Wesley Reading, Massachusetts, 1972.

[5] Joseph A. Gallian, “A Dynamic Survey of Graph Labeling”, The Electronic Journal of Combinatorics, #DS6, 2017.

[6] Kins. Yenoke, R.C. Thivyarathi, D. Antony Xavier, “Proper Lucky Number of Mesh and its derived architectures”, Journal of Computer and Mathematical sciences, Vol. 8, Issue 5, pp. 187-195, 2017.

[7] Mirka Miller, Indra Rajasingh, D. Ahima Emilet, D. Azubha Jemilet, “d-lucky labeling of graphs”, Procedia Computer Science Vol. 57, pp. 766-771, 2015.

[8] Selvam Avadayappan, R. Vasuki, “New Families of Mean Graphs”, International J. Math Combin, Vol. 2, pp. 68-80, 2010.

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Published

2025-11-25

How to Cite

[1]
E. Esakkiammal, K. Thirusangu, and S. Seethalakshmi, “Proper D - Lucky Labeling on Arbitrary Super Subdivision of New Family of Graphs”, Int. J. Comp. Sci. Eng., vol. 7, no. 5, pp. 85–90, Nov. 2025.

Issue

Vol. 7 No. 5 (2019): IJCSE Special Issue Mar Edition

Section

Research Article

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