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Original scientific paper

Properties and Relationships of Conjugated Polyenes Having a Reciprocal Eigenvalue Spectrum – Dendralene and Radialene Hydrocarbons

Jerry Ray Dias orcid id orcid.org/0000-0001-7772-4283 ; Department of Chemistry, University of Missouri, Kansas City, MO 64110-2499, USA


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Abstract

While reviewing molecules corresponding to reciprocal graphs (graphs with all reciprocal eigenvalue pairs), new examples of reciprocal graphs are presented. Essential features of cross-conjugation are delineated, and how this phenomenon is important in the design of conducting and ferromagnetic polymers is discussed. Some recursion equations for determining characteristic polynomials of comb and ladder graphs are presented.

Keywords

circumscribing with hexagonal rings; characteristic polynomials; comb molecular graphs; complementary molecular graphs; cross-conjugation; reciprocal molecular graphs

Hrčak ID:

102724

URI

https://hrcak.srce.hr/102724

Publication date:

31.5.2004.

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