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Characteristic polynomials; linear polyacenes; Pascal’s triangle; subspectrality

Coefficients of characteristic polynomials (CP) of linear polyacenes (LP) have been shown to be obtainable from Pascal’s triangle by using a graph factorisation and squaring technique. Strong subspectrality existing among the members of the linear polyacene series has been shown from the derivation of the CP’s. Thus it has been shown that the entire eigenspectrum of ann-ring LP is included in that of (2n + 1)-ring LP. Correspondence between the eigenspectra of linear chains and LP’s is brought out by a recently developed vertex-alternation and squaring algorithm.

Gautam Mukherjee¹ Kakali Datta² Asok K Mukherjee²

1. Department of Chemistry, Narasingha Datta College, Howrah, West Bengal, India
2. Department of Chemistry, Burdwan University, Burdwan - 713 104, India

Published

February 2000

Manuscript received

11 May 1999

Manuscript revised

24 August 1999