The Hosoya-Wiener Polynomial of Weighted Trees

نویسنده

  • B. ZMAZEK
چکیده

Formulas for the Wiener number and the Hosoya-Wiener polynomial of edge and vertex weighted graphs are given in terms of edge and path contributions. For a rooted tree, the Hosoya-Wiener polynomial is expressed as a sum of vertex contributions. Finally, a recursive formula for computing the Hosoya-Wiener polynomial of a weighted tree is given.

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تاریخ انتشار 2007