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Discrete Dynamics in Nature and Society
Volume 2015 (2015), Article ID 568926, 7 pages
Research Article

Merrifield-Simmons Index in Random Phenylene Chains and Random Hexagon Chains

College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China

Received 31 January 2015; Accepted 13 March 2015

Academic Editor: Alicia Cordero

Copyright © 2015 Ailian Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The author obtains explicit expressions for the expected value of the Merrifield-Simmons index of a random phenylene chain and a random hexagon chain, respectively. The author also computes the corresponding entropy constants and obtains the maximum and minimum values in both random systems, respectively.