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Symmetry 2010, 2(3), 1390-1400; doi:10.3390/sym2031390
Article

How to Find the Fries Structures for Benzenoid Hydrocarbons

1,2,* , 2
 and 2
Received: 3 February 2010; in revised form: 4 June 2010 / Accepted: 28 June 2010 / Published: 6 July 2010
(This article belongs to the Special Issue Aromaticity and Molecular Symmetry)
Download PDF [286 KB, uploaded 6 July 2010]
Abstract: An efficient algorithm leading to the Fries canonical structure is presented for benzenoid hydrocarbons. This is a purely topological approach, which is based on adjacency matrices and the Hadamard procedure of matrix multiplication. The idea is presented for naphthalene, as an example. The Fries canonical-structures are also derived for anthracene, coronene, triphenylene, phenanthrene, benz[a]pyrene, and one large benzenoid system. The Fries concept can be convenient for obtaining Clar structures with the maximum number of sextets, which in turn effectively represent π-electron (de)localization in benzenoid hydrocarbons.
Keywords: aromaticity; benzenoid hydrocarbons; graph topology; fries structure aromaticity; benzenoid hydrocarbons; graph topology; fries structure
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Ciesielski, A.; Krygowski, T.M.; Cyrański, M.K. How to Find the Fries Structures for Benzenoid Hydrocarbons. Symmetry 2010, 2, 1390-1400.

AMA Style

Ciesielski A, Krygowski TM, Cyrański MK. How to Find the Fries Structures for Benzenoid Hydrocarbons. Symmetry. 2010; 2(3):1390-1400.

Chicago/Turabian Style

Ciesielski, Arkadiusz; Krygowski, Tadeusz M.; Cyrański, Michał K. 2010. "How to Find the Fries Structures for Benzenoid Hydrocarbons." Symmetry 2, no. 3: 1390-1400.


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