The adjacency matrix of three sequences of fullerenes

Subject Areas : Combinatorics, Graph theory

O. Nekooei ¹ , H. Barzegar ² , A. Ashrafi ³ , M. Ghorbani ⁴

1 - Department of Mathematics, Tafresh University, Tafresh 39518-79611, Iran
2 - Department of Mathematics, Tafresh University, Tafresh 39518-79611, Iran
3 - Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, Iran
4 - Department of mathematics, Islamic Azad University, Shahr-e-Qods Branch, Tehran, Iran

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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