1. Third Smallest Wiener Polarity Index of Unicyclic Graphs
- Author
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Wei Fang, Muhan Ma, FuYuan Chen, and Hufeng Dong
- Subjects
minimum ,extremal graph ,Materials Science (miscellaneous) ,wiener polarity index ,Unicyclic graphs ,Biophysics ,General Physics and Astronomy ,01 natural sciences ,Graph ,lcsh:QC1-999 ,Combinatorics ,0103 physical sciences ,electrical networks ,Physical and Theoretical Chemistry ,010306 general physics ,unicyclic graph ,lcsh:Physics ,Mathematical Physics ,Mathematics - Abstract
The Wiener polarity index WP(G) of a graph G is the number of unordered pairs of ver- tices {u,v} such that the distance between u and v is 3. In this paper, we determine the first three smallest Wiener polarity index of u- nicyclic graphs. Moreover, the corresponding extremal graphs are characterized.
- Published
- 2020
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