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Author:Chuanqi Xiao , Haiyan Chen , Lu Liu
Data Source:[J].Journal of Mathematical Chemistry(IF 1.226), 2017, Vol.55 (9), pp.1878-1886Springer
Abstract:Let G be a (molecule) graph. A perfect matching, or kekulé structure and dimer covering, in a graph G is a set of pairwise nonadjacent edges of G that spans the vertices of G . In this paper, we obtained the explicit expression for the expectation of the number of perfect ma...
Author:Chuanqi Xiao , Haiyan Chen , Andrei M. Raigorodskii
Data Source:[J].Discrete Applied Mathematics(IF 0.718), 2017Elsevier
Abstract:Abstract(#br)Let P n be a pentagonal chain. Motivated by the work of Gutman (1977), this paper shows that for a hexagonal chain H , there exists a caterpillar tree T ( H ) such that the number of Kekulé structures of H is equal to the Hosoya index of T(H). In this paper, we ...
Author:Chuanqi Xiao , Haiyan Chen
Data Source:[J].Discrete Mathematics(IF 0.578), 2016, Vol.339 (2), pp.506-510Elsevier
Abstract:Abstract(#br)Let R n be a square–hexagonal chain. In this paper, we show that there exists a caterpillar tree T n such that the number of Kekulé structures of R n is equal to the Hosoya index of T n . Since both hexagonal chains and polyomino chains can be viewed as special ...
Author:Chuanqi Xiao , Haiyan Chen
Data Source:[J].Zeitschrift für Naturforschung A(IF 1.363), 2015, Vol.70 (6), pp.465-470De Gruyter
Abstract:Abstract A polyomino chain is a planar square lattice that can be constructed by successively attaching squares to the previous one in two possible ways. A random polyomino chain is then generated by incorporating the Bernoulli distribution to the two types of attachment, wh...

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