Computing Degeneracies of the Most Important Structures of Polycyclic Aromatic Hydrocarbons

被引:0
|
作者
Doslic, Tomislav [1 ,2 ]
机构
[1] Univ Zagreb, Fac Civil Engn, Zagreb, Croatia
[2] Fac Informat Studies, Novo Mesto, Slovenia
关键词
benzenoid graphs; perfect matching; Kekule structure; degeneracy; Dyck path; Narayana numbers;
D O I
10.5562/cca3752
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
We construct bijections between certain energetically favorable resonance-like structures in several classes of benzenoid compounds and some well-known combinatorial structures enumerated by Catalan and related numbers. In that way we derive explicit formulas for the number of such structures in the considered classes of compounds. We also list some open problems and indicate some possible directions for future research.
引用
收藏
页码:279 / 287
页数:9
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