Shahid Rajaee Teacher Training University Journal of Discrete Mathematics and Its Applications 2981-0809 7 4 2022 12 01 Spectral properties of fullerene graphs 195 207 2077 10.22061/jdma.2023.2077 EN Mahin Songhori Ministry of Education, Organization for Education and Training, Tehran, I. R. Iran Mina Rajabi-Parsa Lecturer at the Department of Mathematics, Farhangian University, Tehran, I. R. Iran Razie Alidehi-Ravandi Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran, 16785-163, I. R. Iran Journal Article 2023 11 01 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. https://jdma.sru.ac.ir/article_2077_dcc9b466bf936fbcb63af2d49dd64279.pdf