AUTHOR=Fang Wei , Ma Muhan , Chen FuYuan , Dong Hufeng 

TITLE=Third Smallest Wiener Polarity Index of Unicyclic Graphs

JOURNAL=Frontiers in Physics

VOLUME=Volume 8 - 2020

YEAR=2020

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2020.553261

DOI=10.3389/fphy.2020.553261

ISSN=2296-424X

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.