Statistical analyses of a class of random cyclooctatetraene chain networks with respect to several topological properties

SUMMARY

By appending a new terminal octagon Hn+1 to Gn, the random cyclooctatetraene chain Gn+1 with n octagons can be constructed. At each step, randomly pick one of the following possible outcomes: p1 is the probability that Gn → Gn1 +1; p2 is the probability that Gn → Gn2 +1 p3 is the probability that Gn → Gn3 +1 p4=1 - p1 - p2 - p3 is the probability that Gn → Gn4 +1. Recalling from Section 1 that Zn1, Zn2, Zn3, and Zn4 are random variables, this indicates the option in constructing Gn+1 from Gn. By (5.4), the authors . . .

 



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