Calculating the Determinant of the Adjacency Matrix and Counting Kekulé Structures in Circulenes-Reference-Cited by-同舟云学术

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Calculating the Determinant of the Adjacency Matrix and Counting Kekulé Structures in Circulenes

Published:1994-11-01 Issue:11 Volume:49 Page:1053-1058
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Gutman I.¹,Yeh Y.-N.²,Lee S.-L.³,Hosoya H.⁴,Cyvin S. J.⁵

Affiliation:

1. Institute of Physical Chemistry, Attila Jözsef University, Szeged, Hungary; on leave from Faculty of Science, University of Kragujevac

2. Institute of Mathematics, Academia Sinica, Taipei, Taiwan, R.O.C.

3. Department of Chemistry, N ational Chung-Cheng University, Chia-Yi, Taiwan, R.O.C.

4. Department of Information Sciences, Ochanomizu University, Tokyo, Japan

5. Division of Physical Chemistry, University of Trondheim, Trondheim, Norway

Abstract

Abstract The determinant of the adjacentcy matrix, the algebraic structure count and the Kekulé structure count of circulenes are shown to conform to simple expressions containing Fibonacci numbers.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-1994-1110/pdf

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