连接树时顶点能量的变化
The change of vertex energy when joining trees
AI总结：
本文研究树与二部图连接时顶点能量的变化，发现能量随距离奇偶交替增减。
摘要：
本文研究了树与二部图连接时其顶点能量所受的影响。我们发现关于并合顶点存在一种交替模式：位于奇数距离处的顶点能量降低，而位于偶数距离处的顶点能量升高。
英文摘要：
In this manuscript we study how the vertex energy of a tree is affected when joined with a bipartite graph. We find an alternating pattern with respect to the coalescence vertex: the energy decreases for vertices located at odd distances and increases for those located at even distances.
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。
