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Wiener numbers of benzenoid hydrocarbons: two theorems

โœ Scribed by Ivan Gutman


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
227 KB
Volume
136
Category
Article
ISSN
0009-2614

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Wiener numbers of random benzenoid chain
โœ Ivan Gutman; John W. Kennedy; Louis V. Quintas ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 334 KB

An explicit analytical expression for E( W(n) ), the expected value of the Wiener number of a random benzenoid chain with n hexagons is obtained. In the general case, E( W(n) ) is not a polynomial in the variable n.

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There are series of C&H, formulas for benzenoid hydrocarbons which correspond to equal numbers of isomers. General expressions (in two schemes) are reported for these formulas. The numbers of isomers for these constant-isomer series are treated by a combination of mathematical analysis and computer-

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