Zhang-Zhang polynomials of various classes of benzenoid systems

Chien Pin Chou, Yenting Li, Henryk A. Witek

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

The Zhang-Zhang(ZZ) polynomials (aka Clar covering polynomial) for several subclasses of catacondensed and pericondensed benzenoid systems have been computed using an automatic computer code developed in our group and described in [C.-P. Chou and H.A. Witek, MATCH Commun. Math. Comput. Chem., submitted]. General closed-form expressions for several series of catacondensed benzenoids and for the prolate rectangular pericondensed benzenoids have been obtained. The presented results suggest that general closed-form expressions for the ZZ polynomials of many classes of pericondensed benzenoid systems can be discovered by analysis of structural similarities between the ZZ polynomials of their subclasses. Methods and techniques of finding such similarities are outlined.

Original languageEnglish
Pages (from-to)31-64
Number of pages34
JournalMatch
Volume68
Issue number1
Publication statusPublished - 2012
Externally publishedYes

Fingerprint

Polynomials
Polynomial
Closed-form
Phosmet
Structural Similarity
Covering
Series
Class
Similarity

ASJC Scopus subject areas

  • Chemistry(all)
  • Computer Science Applications
  • Computational Theory and Mathematics
  • Applied Mathematics

Cite this

Zhang-Zhang polynomials of various classes of benzenoid systems. / Chou, Chien Pin; Li, Yenting; Witek, Henryk A.

In: Match, Vol. 68, No. 1, 2012, p. 31-64.

Research output: Contribution to journalArticle

Chou, CP, Li, Y & Witek, HA 2012, 'Zhang-Zhang polynomials of various classes of benzenoid systems', Match, vol. 68, no. 1, pp. 31-64.
Chou, Chien Pin ; Li, Yenting ; Witek, Henryk A. / Zhang-Zhang polynomials of various classes of benzenoid systems. In: Match. 2012 ; Vol. 68, No. 1. pp. 31-64.
@article{3b70bbf5450d43bb937d375188f65577,
title = "Zhang-Zhang polynomials of various classes of benzenoid systems",
abstract = "The Zhang-Zhang(ZZ) polynomials (aka Clar covering polynomial) for several subclasses of catacondensed and pericondensed benzenoid systems have been computed using an automatic computer code developed in our group and described in [C.-P. Chou and H.A. Witek, MATCH Commun. Math. Comput. Chem., submitted]. General closed-form expressions for several series of catacondensed benzenoids and for the prolate rectangular pericondensed benzenoids have been obtained. The presented results suggest that general closed-form expressions for the ZZ polynomials of many classes of pericondensed benzenoid systems can be discovered by analysis of structural similarities between the ZZ polynomials of their subclasses. Methods and techniques of finding such similarities are outlined.",
author = "Chou, {Chien Pin} and Yenting Li and Witek, {Henryk A.}",
year = "2012",
language = "English",
volume = "68",
pages = "31--64",
journal = "Match",
issn = "0340-6253",
publisher = "University of Kragujevac, Faculty of Science",
number = "1",

}

TY - JOUR

T1 - Zhang-Zhang polynomials of various classes of benzenoid systems

AU - Chou, Chien Pin

AU - Li, Yenting

AU - Witek, Henryk A.

PY - 2012

Y1 - 2012

N2 - The Zhang-Zhang(ZZ) polynomials (aka Clar covering polynomial) for several subclasses of catacondensed and pericondensed benzenoid systems have been computed using an automatic computer code developed in our group and described in [C.-P. Chou and H.A. Witek, MATCH Commun. Math. Comput. Chem., submitted]. General closed-form expressions for several series of catacondensed benzenoids and for the prolate rectangular pericondensed benzenoids have been obtained. The presented results suggest that general closed-form expressions for the ZZ polynomials of many classes of pericondensed benzenoid systems can be discovered by analysis of structural similarities between the ZZ polynomials of their subclasses. Methods and techniques of finding such similarities are outlined.

AB - The Zhang-Zhang(ZZ) polynomials (aka Clar covering polynomial) for several subclasses of catacondensed and pericondensed benzenoid systems have been computed using an automatic computer code developed in our group and described in [C.-P. Chou and H.A. Witek, MATCH Commun. Math. Comput. Chem., submitted]. General closed-form expressions for several series of catacondensed benzenoids and for the prolate rectangular pericondensed benzenoids have been obtained. The presented results suggest that general closed-form expressions for the ZZ polynomials of many classes of pericondensed benzenoid systems can be discovered by analysis of structural similarities between the ZZ polynomials of their subclasses. Methods and techniques of finding such similarities are outlined.

UR - http://www.scopus.com/inward/record.url?scp=84898731937&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84898731937&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84898731937

VL - 68

SP - 31

EP - 64

JO - Match

JF - Match

SN - 0340-6253

IS - 1

ER -