HOSOYA POLYNOMIAL IN TORI

Commun. Math. Comput. Chem. (MATCH), 2002, 45, 109-122 Abstract. The Hosoya polynomial is defined as a distance-based increasing power sequence. Analytical formulas for calculating this polynomial in several classes of toroidal nets are given. The Wiener number, derived from the first derivative of the Hosoya polynomial (in x = 1), is calculable either by close formulas or by recursions.

[1]  H. Wiener.  Structural determination of paraffin boiling points. , 1947, Journal of the American Chemical Society.

[2]  K. Vollhardt,et al.  A new approach to the construction of biphenylenes by the cobalt-catalyzed cocyclization of o-diethynylbenzenes with alkynes. Application to an iterative approach to [3]phenylene, the first member of a novel class of benzocyclobutadienoid hydrocarbons , 1985 .

[3]  A New Approach to the Construction of Biphenylenes by the Cobalt-Catalyzed Cocyclization of o-Diethynylbenzenes with Alkynes. , 1986 .

[4]  Haruo Hosoya,et al.  On some counting polynomials in chemistry , 1988, Discret. Appl. Math..

[5]  I. Gutman.  Easy method for the calculation of the algebraic structure count of phenylenes , 1993 .

[6]  Ihara,et al.  Toroidal forms of graphitic carbon. II. Elongated tori. , 1993, Physical review. B, Condensed matter.

[7]  Ying-Duo Gao,et al.  Fullerenes with four-membered rings , 1993 .

[8]  Ihara,et al.  Toroidal forms of graphitic carbon. , 1993, Physical review. B, Condensed matter.

[9]  Sandi Klavzar,et al.  A METHOD FOR CALCULATING WIENER NUMBERS OF BENZENOID HYDROCARBONS , 1996 .

[10]  M. Diudea,et al.  The Wiener Polynomial Derivatives and Other Topological Indices in Chemical Research , 2000 .

[12]  B. Parv,et al.  TORANES VERSUS TORENES , 2001 .

[13]  Edward C. Kirby,et al.  THE ENERGETIC STABILITY OF TORI AND SINGLE-WALL TUBES , 2001 .

[14]  Dragan Stevanovic,et al.  Hosoya polynomial of composite graphs , 2001, Discret. Math..

[15]  M. Diudea,et al.  Toroidal Fullerenes from Square Tiled Tori , 2001 .