The adjacency matrix of three sequences of fullerenes

Subject Areas : Combinatorics, Graph theory

O. Nekooei ¹ (Department of Mathematics, Tafresh University, Tafresh 39518-79611, Iran)
H. Barzegar ² (University of Tafresh)
A. Ashrafi ³ (University of Kashan)
M. Ghorbani ⁴ (داﻧﺸﮕﺎﻩ ﺁﺯﺍﺩ ﺍﺳﻼﻣﻲ ﻭﺍﺣﺪ شهر قدس ، ﺍﻳﺮﺍﻥ)

Received: 2024-02-22 Accepted : 2024-05-12 Published : 2024-05-14

Keywords: Adjacency matrix‎, ‎$C_{12m+2}$, $C_{12m+4}$‎, ‎$C_{12m+6}$,

Abstract :

When we study chemical graphs, the adjacency matrix is an important invariant of a graph with chemical meaning. In this paper, the general form of the adjacency matrices of three sequences of fullerenes will be determined.

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