%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.