The Hosoya index $Z (G)$ of a graph $G$ is defined as the total number ofedge independent sets of $G$. In this paper, we extend the research of [J. Ou,On extremal unicyclic molecular graphs with maximal Hosoya index,\textit{Discrete Appl. Math.} 157 (2009) 391--397.] and [Y. Ye, X. Pan, H. Liu,Ordering unicyclic graphs with respect to Hosoya indices and Merrifield-Simmonsindices, \textit{MATCH Commun. Math. Comput. Chem.} 59 (2008) 191--202.] andorder the largest $n-1$ unicyclic graphs with respect to the Hosoya index.
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机译：图$ G $的Hosoya索引$ Z（G）$定义为$ G $的边独立集合的总数。在本文中，我们扩展了[J． u，关于具有最大Hosoya指数的极值单环分子图，\ textit {Discrete Appl。 157（2009）391--397。]和[Y. Ye，X. Pan，H.Liu，关于Hosoya索引和Merrifield-Simmonsindices的单圈图排序，\ textit {MATCH Commun。数学。计算Chem。} 59（2008）191--202。]，并针对Hosoya指数对最大的$ n-1 $单环图进行排序。
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