On different kinds of arcs in interval valued fuzzy graphs
Authors :
Ann Mary Philip 1 , Sunny Joseph Kalayathankal 2 and Joseph Varghese Kureethara 3*
Author Address :
1 Department of Mathematics, Assumption College, Mahatma Gandhi University, Changanacherry-686104, India.
2 Department of Mathematics, Kuriakose Elias College, Mahatma Gandhi University, Kottayam-686561, India.
3 Department of Mathematics, CHRIST (Deemed to be University), Bengaluru-560029, India.
*Corresponding author.
Abstract :
Type I strong arcs, Type II strong arcs, left feeble arcs, right feeble arcs and weak arcs in an Interval Valued Fuzzy Graph (IVFG) are introduced in this paper. We obtain a characterization of weak arcs. If every two arcs are comparable in an IVFG, then it contains only $alpha$ strong arcs and weak arcs. An arc in an IVFG is a weak arc if and only if it is the unique weakest arc of at least one cycle in it.
Keywords :
Interval valued fuzzy graph, Arc, Strong arc, Comparable arcs.
DOI :
Article Info :
Received : December 19, 2018; Accepted : March 09, 2019.
