Fuzzy topological analysis of pizza graph

Zeeshan Saleem Mufti; Ali Tabraiz; Qin Xin; Bander Almutairi; Rukhshanda Anjum; Zeeshan Saleem Mufti; Ali Tabraiz; Qin Xin; Bander Almutairi; Rukhshanda Anjum

doi:10.3934/math.2023647

AIMS Mathematics

2023, Volume 8, Issue 6: 12841-12856. doi: 10.3934/math.2023647

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Research article Special Issues

Fuzzy topological analysis of pizza graph

1.
Department of Mathematics and Statistics, The University of Lahore, Lahore Campus, Pakistan
2.
Department of Mathematics, Punjab Tianjin University of Technology, Lahore, Pakistan
3.
Faculty of Science and Technology, University of the Faroe Islands, Faroe Islands, Denmark
4.
Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455 Riyadh 11451, Saudi Arabia

Received: 29 December 2022 Revised: 16 March 2023 Accepted: 22 March 2023 Published: 30 March 2023
MSC : 05C15

Fuzzy topological indices are getting attention these days due to their vast applications in daily life. In crisp case, topological indices are beneficial in chemical graph theory but as far as fuzzy graph theory is concerned, fuzzy topological indices are useful in identifying human trafficking, and multi-criteria decision-making environments. In this paper, we have computed the fuzzy topological indices such as the first and second fuzzy Zagreb indices, Randic index, and Harmonic index for the $ Pz_{n} $ pizza graph. We have found generalized results for the above-mentioned structure.
- pizza graph,
- fuzzy graph,
- topological indices
Citation: Zeeshan Saleem Mufti, Ali Tabraiz, Qin Xin, Bander Almutairi, Rukhshanda Anjum. Fuzzy topological analysis of pizza graph[J]. AIMS Mathematics, 2023, 8(6): 12841-12856. doi: 10.3934/math.2023647

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Abstract

Fuzzy topological indices are getting attention these days due to their vast applications in daily life. In crisp case, topological indices are beneficial in chemical graph theory but as far as fuzzy graph theory is concerned, fuzzy topological indices are useful in identifying human trafficking, and multi-criteria decision-making environments. In this paper, we have computed the fuzzy topological indices such as the first and second fuzzy Zagreb indices, Randic index, and Harmonic index for the $ Pz_{n} $ pizza graph. We have found generalized results for the above-mentioned structure.

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