Sum divisor cordial labeling for star and ladder related graphs

Authors

  • A. Lourdusamy St. Xavier’s College.
  • F. Patrick St. Xavier’s College.

DOI:

https://doi.org/10.4067/S0716-09172016000400006

Keywords:

Divisor cordial, sum divisor cordial, divisor cordial de sumas

Abstract

A sum divisor cordial labeling of a graph G with vertex set V is a bijection f from V to {1, 2, . . . , |V(G)|} such that an edge uv is assigned the label 1 if 2 divides f (u) + f (v) and 0 otherwise; and the number of edges labeled with 0 and the number of edges labeled with 1 differ by at most 1. A graph with a sum divisor cordial labeling is called a sum divisor cordial graph. In this paper, we prove that D2(K1,n), S' (K1,n), D2(Bn,n), DS(Bn,n), S' (Bn,n), S(Bn,n), < K(1)1,nΔK(2)1,n>, S(Ln), Ln O K1, SLn, TLn, TLn O Ki and CHn are sum divisor cordial graphs.

Author Biographies

A. Lourdusamy, St. Xavier’s College.

Department of Mathematics.

F. Patrick, St. Xavier’s College.

Department of Mathematics.

References

[1] J. A. Gallian, A Dyamic Survey of Graph Labeling, The Electronic J. Combin., 18 (2015) # DS6.

[2] F. Harary, Graph Theory, Addison-wesley, Reading, Mass, (1972).

[3] A. Lourdusamy and F. Patrick, Sum Divisor Cordial Graphs, Proyecciones Journal of Mathematics, 35(1), pp. 115-132, (2016).

[4] A. Lourdusamy and F. Patrick, Sum Divisor Cordial Labeling for Path and Cycle Related Graphs (submitted for publication)

[5] S. S. Sandhya, S. Somasundaram and S. Anusa Some New Results on Root Square Mean Labeling, International Journal of Mathematical Archive, 5(12), pp. 130-135, (2014).

[6] M. Seenivasan Some New Labeling Concepts, PhD thesis, Manonmaniam Sundaranar University, India, (2013).

[7] S. K. Vaidya and C. M. Barasara, Product Cordial Graphs in the Context of Some Graph Operations, International Journal of Mathematics and Scientific Computing, 1(2), pp. 122-130, (2011).

[8] S. K. Vaidya and N. H. Shah, Some Star and Bistar Related Cordial Graphs, Annals of Pure and Applied Mathematics, 3(1), pp. 67-77, (2013).

[9] S. K. Vaidya and N. J. Kothari, Line Gracefulness of Some Path Related Graphs, International Journal of Mathematics and Scientific Computing, 4(1), pp. 15-18, (2014)

Published

2017-03-23

How to Cite

[1]
A. Lourdusamy and F. Patrick, “Sum divisor cordial labeling for star and ladder related graphs”, Proyecciones (Antofagasta, On line), vol. 35, no. 4, pp. 437-455, Mar. 2017.

Issue

Section

Artículos