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dc.contributor.authorLangner, Johannaen_US
dc.contributor.authorWitek, Henryk A.en_US
dc.date.accessioned2018-08-21T05:53:17Z-
dc.date.available2018-08-21T05:53:17Z-
dc.date.issued2017-12-01en_US
dc.identifier.issn0011-1643en_US
dc.identifier.urihttp://dx.doi.org/10.5562/cca3191en_US
dc.identifier.urihttp://hdl.handle.net/11536/144491-
dc.description.abstractWe present a graph-theoretical interpretation of the recently developed interface theory of single zigzag chains N(n) in form of connectivity graphs. A remarkable property of the connectivity graphs is the possibility of constructing the full set of Clar covers of N(n) as the complete set of walks on these graphs. Connectivity graphs can be constructed in a direct form, in which the number of vertices is growing linearly with the length n of N(n), and in a reduced form, in which the number of vertices is independent of the actual length of the chain. The presented results can be immediately used for the determination of the Zhang-Zhang (ZZ) polynomials of N(n) in an easy and natural manner. Two techniques for computing the ZZ polynomial are proposed, one based on direct recursive computations and the other based on a general solution to a set of recurrence relations. Generalization of the interface theory to arbitrary benzenoid structures, the construction of associated connectivity graphs, and techniques for the computation of the associated ZZ polynomials will be presented in the near future.en_US
dc.language.isoen_USen_US
dc.subjectbenzenoidsen_US
dc.subjectClar coveren_US
dc.subjectinterface theoryen_US
dc.subjectconnectivity graphen_US
dc.subjectZhang-Zhang polynomialen_US
dc.subjectZZ polynomialen_US
dc.titleConnectivity Graphs for Single Zigzag Chains and their Application for Computing ZZ Polynomialsen_US
dc.typeArticleen_US
dc.identifier.doi10.5562/cca3191en_US
dc.identifier.journalCROATICA CHEMICA ACTAen_US
dc.citation.volume90en_US
dc.citation.spage391en_US
dc.citation.epage400en_US
dc.contributor.department應用化學系zh_TW
dc.contributor.department應用化學系分子科學碩博班zh_TW
dc.contributor.departmentDepartment of Applied Chemistryen_US
dc.contributor.departmentInstitute of Molecular scienceen_US
dc.identifier.wosnumberWOS:000424591700004en_US
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