Original Research Article

Article volume = 2024 and issue = 1

Pages: 15–18

Article publication Date: December 03, 2023

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# Sombor and Second Zagreb Indices of Total Generalized SIERPIŃSKI Gasket Graph

#### Fatemeh Attarzadeh(a) and Ali Behtoei(b)

(a) Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran.

(b) Department of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.

##### Abstract:

Sierpiński fractals and Sierpiński gasket graphs have many applications in diverse areas like dynamical systems, chemistry and problem. In this paper, we study and determine the Sombor index and second Zagreb index for the total generalized Sierpiński gasket of paths, Cycles, and Complete Graphs.

##### Keywords:

Total Generalized Sierpiński Gasket graph, Sombor index and Zagreb index

##### References:

- [1] J. Liu, B. Ali, M. AslamMalik, H. Afzal Siddiqui, and M. Imran, Reformulated Zagreb Indices of Some Derived Graphs, MDPI, (2019), 1-14. 1
- [2] I. Gutman, N. Trinajstic, Graph theory and molecular orbitals. Total π-electron energy of alternant hydrocarbons, Chem. Phys. Lett., 17 (1972), 535-538. 1
- [3] I. Gutman, Geometric approach to degree–based topological indices: Sombor indices, MATCH Commun. Math. Comput. Chem. 86 (2021), 11-16. 1
- [4] S. Klavzar and U. Milutinovic, Graphs S(n,k) and a variant of the Tower of Hanoi problem, Czechoslovak Math. J. 47 (122) (1997), 95-104. 1
- [5] S. Klavzar, U. Milutinovic and C. Petr, 1-perfect codes in Sierpiński graphs, Bulletin of the Australian Mathematical Society. 66 (3) (2002), 369-384. 1
- [6] R.S. Scorer, P.M. Grundy and C.A.B. Smith, Some binary games, Math. Gaz., 28 (1944), 96-103. 1

##### Cite this article as:

- Fatemeh Attarzadeh and Ali Behtoei, Sombor and Second Zagreb Indices of Total Generalized SIERPIŃSKI Gasket Graph, Communications in Combinatorics, Cryptography & Computer Science, 2024(1), PP.15–18, 2023
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