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| For a connected graph G, the Hosoya polynomial ( or called Wiener
polynomial) of G is a distance-based polynomial in the variable
x: the coefficient of the term x^k is the number of pairs of
vertices at distance k. In this paper, we obtain analytical
expressions for Hosoya polynomials of TUC_4C_8(R) nanotubes,
graphs covering nanotubes by alternating rhombs C_4 and octagons
C_8. Furthermore,
the formulae of the Wiener index and the hyper-Wiener index are obtained. |
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| Keywords:Hosoya polynomial, Wiener index, hyper-Wiener index,TUC_4C_8(R) nanotubes. |
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