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The Annealed Entropy of Wiener Number on Random Double Hexagonal Chains
Department of Mathematics, Qinghai Normal University, Xining, China
Department of Mathematics, Qinghai Normal University, Xining, China
- 1 Department of Mathematics, Qinghai Normal University, Xining, China
- 2 Department of Mathematics, Qinghai Normal University, Xining, China
Applied Mathematics·Volume 08 (2017)·Pages 1473–1480·Published 18 October 2017·DOI10.4236/am.2017.810108
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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.
KeywordsRandom Benzenoid ChainWiener NumberEntropy
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