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On (2, (c1, c2)) - Regular Bipolar Fuzzy Graph

Journal: International Journal of Mathematics and Soft Computing (Vol.5, No. 2)

Publication Date:

Authors : ; ;

Page : 91-103

Keywords : degree of a vertex in fuzzy graph; regular fuzzy graph; bipolar fuzzy graph; total degree; totally regular fuzzy graph; d2 degree of a vertex in fuzzy graph; semiregular graphs.;

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Abstract

In this paper $d_{2}$- degree and total $d_{2}$-degree of a vertex in bipolar fuzzy graphs are defined. Also (2,($c_{1}$,$c_{2}$))-regularity and totally (2,($c_{1}$,$c_{2}$))-regularity of bipolar fuzzy graphs are defined. A relation between (2,($c_{1}$,$c_{2}$))-regularity and totally (2,($c_{1}$,$c_{2}$))-regularity on bipolar fuzzy graph is studied. (2,($c_{1}$,$c_{2}$))-regularity on path on four vertices, a Barbell graph $B_{m,n}$ (n$>$1) and a cycle $C_{n}$ are studied with some specific membership functions.

Last modified: 2017-08-30 19:36:32