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Z. Naturforsch. 67a, 550 – 558 (2012)
doi:10.5560/ZNA.2012-0057
On the Quasi-Ordering of Catacondensed Hexagonal Systems with Respective to their Clar Covering Polynomials
Liqiong Xu1 and Fuji Zhang2
1 School of Sciences, Jimei University, Fujian 361023, P.R. China
2 School of Mathematics Sciences, Xiamen University, Fujian 361005, P.R. China
Received May 3, 2012 / published online August 20, 2012
Reprint requests to: L. X.; Fax: 008605926181044, E-mail: xuliqiong@jmu.edu.cn
In this paper, we discuss the quasi-ordering of hexagonal systems with respective to the coefficients of their Clar covering polynomials (also known as Zhang–Zhang polynomials). The last six minimal catacondensed hexagonal systems and the hexagonal chains with the maximum Clar covering polynomial are determined. Furthermore, the smallest pair of incomparable catacondensed hexagonal systems is given.
Key words: Catacondensed Hexagonal Systems; Clar Covering Polynomials; Zhang–Zhang Polynomials; k*-Resonant Graph.
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