A combinatorial/geometric analysis of parallelogram-like benzenoids

We recently reported an algorithm to count Kekulé (resonance) structures for convex cyclofusenes using a combinatorial/geometric approach. Previously, we presented an algorithm for counting resonance structures for parallelogram-like benzenoids with holes by counting descending paths using rectangul...

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Veröffentlicht in:	Journal of mathematical chemistry 2012-04, Vol.50 (4), p.904-913
Hauptverfasser:	Karimi, Sasan, Delgado, Anthony, Lewinter, Marty
Format:	Artikel
Sprache:	eng
Schlagworte:	Chemistry Chemistry and Materials Science Math. Applications in Chemistry Original Paper Physical Chemistry Theoretical and Computational Chemistry
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We recently reported an algorithm to count Kekulé (resonance) structures for convex cyclofusenes using a combinatorial/geometric approach. Previously, we presented an algorithm for counting resonance structures for parallelogram-like benzenoids with holes by counting descending paths using rectangular meshes with holes. In this article, we employ a similar combinatorial/geometric approach to determine algorithms that will facilitate counting of the resonance structures in parallelogram-like benzenoids with no holes.
ISSN:	0259-9791 1572-8897
DOI:	10.1007/s10910-011-9933-1