PERMANENTS OF ADJACENCY MATRICES OF FULLERENES

This study examines the relationships between structural parameters fo r 28 Fullerenes and the permanents of their adjacency matrices, per(A) . In particular, the structural parameters examined were related to th e adjoining of pentagons. A new parameter, r, was introduced which cou nts contiguous pentagon triplets that have no single vertex in common. The quantity well-correlated with structure was not per(A) itself, bu t ln(per(A))/lnK, where K is the Kekule structure count. For all 28 fu llernes, ln(per(A))/lnK > 2, contrary to expectations.