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    Resistance Distances in Fullerene Graphs

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    Resistance distances are computed for all 1812 C60 fullerenes and found to correlate with the number of pentagon adjacencies and hence with relative energy. Within the set, the unique isolated-pen-tagon isomer has the lowest resistance distance (RT = 479482/209), the lowest Wiener index (W = 8340) and the highest Balaban index (J = 2025/2224). The most stable C40 fullerene isomer, one of two with the lowest achievable number of pentagon adjacencies, also has the lowest resistance distance in the set
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