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Comment on “Characteristic polynomials of fullerene cages”

✍ Scribed by P.W. Fowler

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
166 KB
Volume
203
Category
Article
ISSN
0009-2614

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✦ Synopsis

Pairing of the eigenvalues of the signed adjacency matrix is a property of all graphs, not only those of fullerenes. Eigenvalues of this matrix are dependent upon the labelling of the graph and so are not structural invariants.

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Several unique advantages of the Le Verrier-Fadeev-Frame method for the characteristic polynomials of graphs over the method proposed by Zivkovic recently based on the Givens-Householder method are described. It is shown that the Givens-Householder method proposed by Zivkovic, by itself fails for di