Spectral properties of fullerene graphs

Document Type : Full Length Article

Authors

1 Ministry of Education, Organization for Education and Training, Tehran, I. R. Iran

2 Lecturer at the Department of Mathematics, Farhangian University, Tehran, I. R. Iran

3 Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran, 16785-163, I. R. Iran

Abstract

Fullerenes are polyhedral molecules made of carbon atoms. These graphs have attracted much attention in the chemical and the mathematical literature. In the present paper, we investigate problems concerned with the eigenvalues of fullerene graphs. We obtain new upper bounds for the smallest eigenvalues of fullerenes using bipartite edge-frustration of their related subgraphs.

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Journal of Discrete Mathematics and Its Applications
Volume 7, Issue 4
December 2022
Pages 195-207

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History

  • Receive Date: 01 November 2023
  • Revise Date: 15 November 2023
  • Accept Date: 22 November 2023
  • Publish Date: 01 December 2022

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