Cordial Labeling of an Arbitrary Supersubdivision of a Graph

S. J. Gajjar¹

Section:Review Paper, Product Type: Journal-Paper
Vol.6 , Issue.1 , pp.241-244, Feb-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i1.241244

Online published on Feb 28, 2019

Copyright © S. J. Gajjar . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper, we have investigated a condition that if for a graph G there exist a binary vertex labeling f:V(G)?{0,1} such that e_f (0)=0 then an arbitrary supersubdivision of G, G×P_n, G×C_2n, splitting graph of G, disjoint union of graphs, path union of some graphs and a graph obtained by attaching m pendent edges to every vertex of the graph G are cordial

Key-Words / Index Term :
Graph Labeling, Cordial Labeling, An Arbitrary Suppersubdivision

References :
[1] J. Gross and J. Yellen (2004). Handbook of Graph Theory, CRC Press.
[2] D. M. Burton (2007). Elementary Number Theory. 6th ed.
[3] J. A. Gallian, “A Dynamic Survey of Graph Labeling," The Electronic Journal of Combinatorics, 17 (2014), # DS6
[4] I. Cahit, ”Cordial Graphs: A weaker version of graceful and harmonious Graphs", Ars Combinatoria, 23(1987), 201-207.
[5] Y S Ho, S M Lee and S C Shee, ”Cordial labeling of unicyclic graphs and generalized Petersen graphs", Congress. Numer.,68(1989), 109-122.
[6] M Andar, S Boxwala and N B Limaye, ”A Note on cordial labeling of multiple shells", Trends Math. (2002), 77-80.
[7] S K Vaidya, G V Ghodasara, Sweta Srivastav, V J Kaneria, ”Some new cordial graphs", Int. J. of Sci. Comp.,2(1)(2008), 81-92.
[8] S K Vaidya, Sweta Srivastav, G V Ghodasara, V J Kaneria, ”Cordial labeling for cycle with one chord and its related graphs", Indian J. of Math. and Math. Sciences, 4(2)(2008), 145-156.
[9] G Sethuraman and P Selvaraju, ”Gracefullness of arbitreary supersubdivision of graphs", Indian J. pure. appl. math., 32(7)(2001), 1059-1064.
[10] S K Vaidya, N. A. Dani, ”Cordial Labeling and Arbitrary SuperSubdivision of Some Graphs", International Journal of Information Science and Computer Mathematics, Vol. 2, 2010, no. 1, 51 - 60.
[11] S K Vaidya, K. K. Kanani, ”Some New Results on Cordial Labeling in the Context of Arbitrary Supersubdivision of Graph", Applied Mathematical Sciences, Vol. 4, 2010, no. 47, 2323 - 2329.