sextet polynomial
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scholarly journals On the sextet polynomial of fullerenes

2009 ◽  
Vol 47 (3) ◽  
pp. 1121-1128 ◽  
Author(s):  
Jean-Sébastien Sereni ◽  
Matěj Stehlík
Keyword(s):  
Sextet Polynomial

Zhang – Zhang Polynomial of Multiple Linear Hexagonal Chains

2006 ◽  
Vol 61 (1-2) ◽  
pp. 73-77 ◽  
Author(s):  
Ivan Gutman ◽  
Bojana Borovićanin
Keyword(s):  
Large Class ◽  
Kekulé Structures ◽  
Clar Number ◽  
Sextet Polynomial ◽  
Cover Polynomial ◽  
Combinatorial Expression

An explicit combinatorial expression is obtained for the Zhang-Zhang polynomial (also known as “Clar cover polynomial”) of a large class of pericondensed benzenoid systems, the multiple linear hexagonal chains Mn,m. By means of this result, various problems encountered in the Clar theory of Mn,m are also resolved: counting of Clar and Kekulé structures, determining the Clar number, and calculating the sextet polynomial.

Topological Properties of Benzenoid Systems. XXIV. Computing the Sextet Polynominal

1984 ◽  
Vol 39 (3) ◽  
pp. 276-281
Author(s):  
Ivan Gutman ◽  
Sherif El-Basil
Keyword(s):  
Theoretical Method ◽  
Topological Properties ◽  
Sextet Polynomial ◽  
Independence Numbers

AbstractA graph-theoretical method for the calculation of the sextet polynomial is proposed. The method is easy and generally applicable. It is based on the construction of the Clar graph and on the calculation of its independence numbers.

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