Volume 67 | Issue 1 | Year 2021 | Article Id. IJMTT-V67I1P509 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I1P509
In this paper, we investigate the extended duplicate graph of quadrilateral snake graph admits proper lucky labeling and lucky edge labeling.
[1] E. Sampathkumar, On duplicate graphs, Journal of the Indian Math. Soc.37 (1973) 285–293.
[2] K. Thirusangu, B. Selvam and P.P. Ulaganathan, Cordial labelings in extended Duplicate Graph of twig graphs, International Journal of computer, mathematical sciences and applications, 4(3-4) (2010).319-328.
[3] Gordon and Breach, Dunod, Paris, A.Rosa, On certain valuations of the vertices of a graph, Theory of graphs, (Intl. Symp. Rome 1966), (1967) 349-355.
[4] J. Gallian, A Dynamic survey of Graph labeling, The Electronic Journal of combinatorics (1996-2005).
[5] A. Ahai, A. Dehghan, M. Kazemi and E. Mollaahmedi, Computation of Lucky number of planar graphs in NP-hard, Information Processing Letters, 112(4) (2012) 109-112.
[6] S. Akbari, M. Ghanbari, R. Manariyat and S. Zare, On the lucky choice number of graphs, Graphs and combinatorics, 29(2) (2013) 157-163.
[7] Kins Yenoke, R.C. Thivyarathi and D. Anthony Xavier, Proper lucky number of mesh and its Derived architectures, Journal of Computer and Mathematical sciences (An International Research Journal), 7(2016) (inprint).
[8] D. Antony Xavier and R.C. Thivyarathi, Proper Lucky Number of Hexagonal Mesh and Honeycomb Network, International Journal of Mathematics Trends and Technology (IJMTT), 48(4) (2017).
[9] Chiranjilal Kujur, D. Antony Xavier, S. Arul Amirtha Raja, Proper Lucky labeling of K-Identified Triangular Mesh and K-Identified Sierpinski Gasket graphs, International Journal of Scientific and Engineering Research (IJSER), 8(4) (2017) 249-261.
[10] Chiranjilal Kujur, D. Antony Xavier and S. Arul Amirtha Raja, Proper Lucky labeling of Certain Tree Families, International Journal of Pure and Applied Mathematics (IJPAM), 117(11) (2017). 229-236.
[11] Chiranjilal Kujur, D. Antony Xavier and S. Arul Amirtha Raja, Lucky labeling and Proper Lucky labeling for Bloom Graph, IOSR Journal of Mathematics (IOSR-JM), 13(2) (2017) 52-59.
[12] A. Nellai Murugan and R. Maria Irudhaya Aspin Chitra, Lucky Edge Labeling of Pn , Cn , Corona of Pn, Cn, International journal of Scientific and Innovative Mathematical Research, 2(8) (2014) 710-718.
[13] A. Nellai Murugan and R. Maria Irudhaya Aspin Chitra, Lucky Edge Labeling of Planar Grid Graph, IJMSET, 2(9) (2015) 1-8.
P. Indira, B. Selvam, K. Thirusangu, "Proper Lucky Labeling And Lucky Edge Labeling For The Extended Duplicate Graph Of Quadrilateral Snake," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 1, pp. 60-65, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I1P509