On (2, k)-regular fuzzy graphs
Journal: International Journal of Mathematics and Soft Computing (Vol.4, No. 2)Publication Date: 2014.07.13
Authors : Santhi Maheswari; C Sekar;
Page : 59-69
Keywords : Regular fuzzy graphs; total degree; totally regular fuzzy graph; d2 degree of a vertex in graphs; semiregular graphs;
Abstract
In this paper, we define d2 -degree and total d2 -degree of a vertex in fuzzy graphs. Further we study (2; k)-regularity and totally (2; k)-regularity of fuzzy graphs and the relation between (2; k)- regularity and totally (2; k)-regularity. Also we study (2; k)-regularity on path on four vertices, barbell graph Bn;n; n > 1 and cycle Cn with some specific membership functions.
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