摘要
一个充分悬挂的单圈图具有这样的性质:在它的唯一圈上的任意一点的度不小于3.用u1n表示充分悬挂的单圈图集.在这篇文章中,介绍了单圈图的第四小Hosoya指标.
A fully loaded unicyclic graphs is a unicyclic graph with the property that there is no vertex with degree less than 3 in its unigue cycle.Denote by u1n the set of fully loaded unicyclic graphs.In this article,graphs in u1n with fourth-minimal.Hosoya index are unigwely determined.