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Resistance Distances in Fullerene Graphs

Authors: Fotuler, Patrick W.;

Resistance Distances in Fullerene Graphs

Abstract

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.

Country
Croatia
Related Organizations
Keywords

C60 fullerenes, Wiener index, C40 fullerenes, resistance distance, Balaban index

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
bronze