Dominating function in intuitionistic fractional graph

M.G. Karunambigai; A. Sathishkumar

doi:10.26637/MJM0804/0055

Abstract

In this paper, definition of intuitionistic fractional star graph, intuitionistic fractional bistar graph and intuitionistic fractional wheel graph has been introduced and we also define dominating function, minimal dominating function, intuitionistic fractional domination number \(\left(\gamma_{i_f}(G)\right)\) and upper intuitionistic fractional domination number \(\left(\Gamma_{i_f}(G)\right)\) of an intuitionistic fuzzy graph(IFG). We derived these parameters for a path, cycle, star, bistar and wheel of an intuitionistic fractional graph.

Keywords:

Intuitionistic fractional graph(IFG), intuitionistic fractional domination number, intuitionistic fractional star graph, intuitionistic fractional bistar graph,, intuitionistic fractional wheel graph

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

M.G. Karunambigai Department of Mathematics, Sri Vasavi College, Erode-638 316, Tamil Nadu, India.
A. Sathishkumar Department of Mathematics, Sri Vasavi College, Erode-638 316, Tamil Nadu, India.

Pages: 1653-1660
Date Published: 01-01-2020
Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

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