Year-end Sale % OFF 
Abstract
The recently introduced concept of conjugated circuits is re-examined and some graph theoretical properties of conjugated circuits analysed. Particularly, enumeration of conjugated circuits is extended to include disjoint conjugated circuits. It is shown that the total number of so derived conjugated circuits is always K - 1, where K is the number of Kekulé valence structures for the molecule, for every Kekulé valence structure. This establishes a reciprocal relation between Kekulé valence structures and conjugated circuits. An interesting corollary to the theorem on the number of conjugated circuits is that one can solely from an examination of a single (any) Kekulé valence structure of a molecule determine the number of Kekulé valence forms and even determine the form for the remaining valence structures. Polynomials which enumerate the conjugated circuits are given for selected benzenoid hydrocarbons.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
