Isomorphic Properties of m-Bipolar Fuzzy Graphs

Volume 20 No 8 (2022)

K. Rama Kishore , Ch. Ramprasad, P. L. N. Varma , G. Srinivasarao

DOI: 10.14704/nq.2022.20.8.NQ44044

Abstract

Various concepts of fuzzy graph theory will find applications in many different fields such as image capturing, image segmentation, networking, data mining, planning (landscape connectivity, air lines connectivity etc.), scheduling, clustering, artificial intelligence, decision making, multi agent system and auto meta theory. In this article, we introduced the notion of order, size, free and busy vertices, etc. of m-bipolar fuzzy graphs (m-BPFGs) and showed that isomorphic m-BPFGs have same degree, size and order. In addition we studied various properties of busy vertices in isomorphism and weak isomorphism (w-isomorphism) of m-BPFGs. Comparative studies of operations and complements on m-BPFGs has been carried out with suitable examples.

Keywords

M-BPFG, busy vertices, isomorphism, complement

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