%A Fang,Wei %A Ma,Muhan %A Chen,FuYuan %A Dong,Hufeng %D 2020 %J Frontiers in Physics %C %F %G English %K Wiener polarity index,Mini- mum,Unicyclic graph,Extremal graph,Elec- trical networks %Q %R 10.3389/fphy.2020.553261 %W %L %M %P %7 %8 2020-October-27 %9 Brief Research Report %# %! Wiener Polarity Index %* %< %T Third Smallest Wiener Polarity Index of Unicyclic Graphs %U https://www.frontiersin.org/articles/10.3389/fphy.2020.553261 %V 8 %0 JOURNAL ARTICLE %@ 2296-424X %X The Wiener polarity index WP(G) of a graph G is the number of unordered pairs of vertices {u,v} where the distance between u and v is 3. In this paper, we determine the third smallest Wiener polarity index of unicyclic graphs. Moreover, the corresponding extremal graphs are characterized.