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- Title
Multi Polar q-Rung Orthopair Fuzzy Graphs with Some Topological Indices.
- Authors
Kausar, Andleeb; Abughazalah, Nabilah; Yaqoob, Naveed
- Abstract
The importance of symmetry in graph theory has always been significant, but in recent years, it has become much more so in a number of subfields, including but not limited to domination theory, topological indices, Gromov hyperbolic graphs, and the metric dimension of graphs. The purpose of this monograph is to initiate the idea of a multi polar q-rung orthopair fuzzy graphs (m- PqROPFG) as a fusion of multi polar fuzzy graphs and q-rung orthopair fuzzy graphs. Moreover, for a vertex of multi polar q-rung orthopair fuzzy graphs, the degree and total degree of the vertex are defined. Then, some product operations, inclusive of direct, Cartesian, semi strong, strong lexicographic products, and the union of multi polar q-rung orthopair fuzzy graphs (m- PqROPFG s) , are obtained. Also, at first we define some degree based fuzzy topological indices of m- PqROPFG. Then, we compute Zareb indices of the first and second kind, Randic indices, and harmonic index of a m- PqROPFG.
- Subjects
FUZZY graphs; MOLECULAR connectivity index; GRAPH theory
- Publication
Symmetry (20738994), 2023, Vol 15, Issue 12, p2131
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym15122131