A Study on Fuzzy Resolving Domination Sets and Their Application in Network Theory

نویسندگان

چکیده

Consider a simple connected fuzzy graph (FG) G and consider an ordered subset H = {(u1, σ(u1)), (u2, σ(u2)), …(uk, σ(uk))}, |H| ≥ 2 of graph; then, the representation σ − is k-tuple with regard to G. If any two elements do not have distinct H, then this called resolving set (FRS) smallest cardinality known as number (FRN) it denoted by Fr(G). Similarly, S such that for u∈S, ∃v∈V S, dominating only if u strong arc. Now, again F which both set, domination (FRDS) (FRDN) Fγr(G). We defined few basic properties theorems based on FRDN also developed application social network connection. Moreover, related statements illustrations are discussed in order strengthen concept.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2023

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math11020317