摘要

The Hosoya index, denoted by z(G), of a (molecular) graph G is defined as the total number of independent-edge sets of G. Let Un be the set of unicyclic graphs with n vertices. A fully loaded unicyclic graph is a unicyclic graph with the property that there is no vertex with degree less than 3 in its unique cycle. Denote by U(n)(1) the set of fully loaded unicyclic graphs. In this paper, graphs in U(n)(1) with minimal, second-minimal and third-minimal Hosoya indices are uniquely determined, respectively.

  • 出版日期2008-9
  • 单位淮阴工学院