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    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/jcsc/112/01/0027-0033

    • Keywords

       

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

    • Abstract

       

      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.

    • Author Affiliations

       

      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

    • Dates

       
      Published
      February 2000
      Manuscript received
      11 May 1999
      Manuscript revised
      24 August 1999

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