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Fullerenes with distant pentagons

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Goedgebeur, Jan
McKay, Brendan

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University of Bayreuth

Abstract

For each d > 0, we find all the smallest fullerenes for which the least distance between two pentagons is d. We also show that for each d there is an h<inf>d</inf> such that fullerenes with pentagons at least distance d apart and any number of hexagons greater than or equal to h<inf>d</inf> exist. We also determine the number of fullerenes where the minimum distance between any two pentagons is at least d, for 1 ≤ d ≤ 5, up to 400 vertices.

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MATCH - Communications in Mathematical and in Computer Chemistry

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2037-12-31
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