The Hosoya-Wiener polynomial of weighted treesZmazek, Blaž (Avtor) Žerovnik, Janez (Avtor) mathematicsgraph theoryHosoya-Wiener polynomialweighted treevertex weighted graphsFormulas 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.20072017-07-05 13:09:51Znanstveno delo66671sl