Equitable edge domination in vague graphs

Downloads

DOI:

https://doi.org/10.26637/MJM0804/0090

Abstract

In this paper, we introduce the notions of equitable edge dominating set, minimal equitable edge domination vague set and equitable edge domination number of vague graph. Moreover, we investigate some related properties in these concepts with illustrations.

Keywords:

Vague graph, Equitable edge dominating set, Equitable edge domination number, Equitable edge independent set.

Mathematics Subject Classification:

Mathematics
  • M. Kaliraja P.G. and Research Department of Mathematics, H.H. The Rajah’s College, Pudukkottai-622001, Tamil Nadu, India.
  • P. Kanibose P.G. and Research Department of Mathematics, H.H. The Rajah’s College, Pudukkottai-622001, Tamil Nadu, India.
  • A. Ibrahim P.G. and Research Department of Mathematics, H.H. The Rajah’s College, Pudukkottai-622001, Tamil Nadu, India.
  • Pages: 1880-1884
  • Date Published: 01-10-2020
  • Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

A. Alwardi and N. D. Soner, Equitable Edge Domination in Graph, Bulletin of International Mathematics Virtual Institute, 3(2013), 7-13.

R.A. Borzooei, E. Darabian and H. Rashmanlou, Strong Domination Numbers of Vague Graphs with Applications, Applied Mathematics E-Notes, 16(2016), 251-267.

R. A. Borzooei and H. Rashmanlou, Domination in Vague Graphs and its Applications, Journal of Intelligent & Fuzzy Systems, 29(2015), 1933-1940.

K. M. Dharmalingam and M. Rani, Equitable Domination in Fuzzy Graphs, International Journal of Pure and Applied Mathematics, 94(3)(2014), 661-667.

W. L. Gau and D. J. Buehrer, Vague Sets, IEEE Transactions on Systems, Man and Cybernetics, 23(2), (1993), 610-614.

J. John Stephan, A. Muthaiyn and N. Vinoth Kumar, Equitable Dominating in an Intunionistic Fuzzy Graphs, Global Journal of Pure and Applied Mathematics, 12(3)(2016), 2335-2341.

M. Kaliraja, P. Kanibose and A. Ibrahim, Edge Domination in Vague Graph, International Journal of Advanced Science and Technology, 29(1)(2020), 1474-1480.

A. NagoorGani and K. Prasanna Devi, Edge Domination and Independent in Fuzzy Graph, Advances in Fuzzy Sets and Systems, 15(2)(2013), 73-84.

N. Ramakrishna, Vague graphs, International Journal of Computational Cognition, 7(2009), 51-58.

V. S. Swaminathan and K. M. Dharmalingam, Degree Equitable Domination on Graphs, Kragujevac Journal of Mathematics, 35(1)(2011), 177-183.

G. Thamizhendhi and R. Parvathi, Equitable, Restrained and k-Domination in Intuitionistic Fuzzy Graphs, Global Journal of Pure and Applied Mathematics, 12(1), (2015), $125-145$.

Yahya Talebiy, Hossein Rashmanlouz, Application Of Dominating Sets In Vague Graphs, Applied Mathematics, E-Notes, 17(2017), 251-267.

L. A. Zadeh, Fuzzy sets, Information and Control, 8(1965), 338-353.

  • NA

Metrics

Metrics Loading ...

Published

01-10-2020

How to Cite

M. Kaliraja, P. Kanibose, and A. Ibrahim. “Equitable Edge Domination in Vague Graphs”. Malaya Journal of Matematik, vol. 8, no. 04, Oct. 2020, pp. 1880-4, doi:10.26637/MJM0804/0090.