Ren, H.Z., Zhang, F.J. and Qian, J.G. (2012) Dimer Coverings on Random Multiple Chains of Planar Honeycomb Lattices. Journal of Statistical Mechanics: Theory and Experiment, 2012, P08002. https://doi.org/10.1088/1742-5468/2012/08/P08002

has been cited by the following article:

• TITLE: The Annealed Entropy of Wiener Number on Random Double Hexagonal Chains

  AUTHORS: Haizhen Ren, Xueli Su

  KEYWORDS: Random Benzenoid Chain, Wiener Number, Entropy

  JOURNAL NAME: Applied Mathematics, Vol.8 No.10, October 31, 2017

  ABSTRACT: We study a random planar honeycomb lattice model, namely the random double hexagonal chains. This is a lattice system with nonperiodic boundary condition. The Wiener number is an important molecular descriptor based on the distances, which was introduced by the chemist Harold Wiener in 1947. By applying probabilistic method and combinatorial techniques we obtained an explicit analytical expression for the expected value of Wiener number of a random double hexagonal chain, and the limiting behaviors on the annealed entropy of Wiener number when the random double hexagonal chain becomes infinite in length are analyzed.