树状苯的前三个最小Mostar指数
On the first three minimum Mostar indices of tree-like phenylenes
摘要：
设$G =(V_{G}, E_{G})$是一个简单连通图，其顶点集为$V_{G}$，边集为$E_{G}$ . Mostar指数$Mo(G)$定义为$Mo(G)=\sum\limits_{e=uv\in E(G)}|n_{u}-n_{v}|$，其中$n_{u}$（分别为，$n_{v}$）是其到顶点$u$的距离（分别，$v$）小于到顶点$v$的距离（相应地，$u$）。在这项研究中，我们确定了前三个最小的Mostar指数的树状苯，并表征所有的树状苯达到这些值。最后给出了一些数值例子和讨论。
英文摘要：
Let $G =(V_{G}, E_{G})$ be a simple connected graph with its vertex set $V_{G}$ and edge set $E_{G}$. The Mostar index $Mo(G)$ was defined as $Mo(G)=\sum\limits_{e=uv\in E(G)}|n_{u}-n_{v}|$, where $n_{u}$ (resp., $n_{v}$) is the number of vertices whose distance to vertex $u$ (resp., $v$) is smaller than the distance to vertex $v$ (resp., $u$). In this study, we determine the first three minimum Mostar indices of tree-like phenylenes and characterize all the tree-like phenylenes attaining these values. At last, we give some numerical examples and discussion.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
