Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900792 | Applied Mathematics and Computation | 2018 | 6 Pages |
Abstract
The Wiener polarity index (usually denoted by Wp) of a graph G is defined as the number of unordered pairs of the vertices of G which are at distance 3. Denote by CTn the family of all n-vertex chemical trees. In a recent paper, Ashrafi and Ghalavand [1] determined the first three minimum Wp values of n-vertex chemical trees for nâ¯â¥â¯7 and characterized the chemical trees attaining the first two minimum Wp values among all the members of CTn for nâ¯â¥â¯4. In this note, the chemical trees with the third minimum Wp value are characterized from the graph family CTn for nâ¯â¥â¯7, and the chemical trees from the family CTn,nâ¯â¥â¯4, with the first two minimum Wp values are also obtained in an alternative but shorter way.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Akbar Ali, Zhibin Du, Muhammad Ali,