Inspired by the fact that the buckminister fullerene is a Cayley graph, we are devoted to characterizing fullerenes which are Cayley graphs. Here we prove that the buckminister fullerene is the unique fullerene which is a Cayley graph.
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Shahid Rajaee Teacher Training Univ, Dept Math, Fac Sci, Tehran 16785136, IranShahid Rajaee Teacher Training Univ, Dept Math, Fac Sci, Tehran 16785136, Iran
Ghorbani, M.
Songhori, M.
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Shahid Rajaee Teacher Training Univ, Dept Math, Fac Sci, Tehran 16785136, IranShahid Rajaee Teacher Training Univ, Dept Math, Fac Sci, Tehran 16785136, Iran