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- Characteristic polynomials of linear polyacenes and their subspectrality
  
  Gautam Mukherjee Kakali Datta Asok K Mukherjee
  
  Volume 112 Issue 1 February 2000 pp 27-33
- Fulltext
  
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  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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