化学树的偏心连接性指数
Eccentric Connectivity Index of Chemical Trees
摘要：
偏心连接性指数$ξ^c$是一种基于距离的分子结构描述符，最近被用于不同性质的生物活性的数学建模。证明了在最大顶点度固定的树中，扫帚树具有最大的$ξ^c$，并刻画了具有最小的$ξ^c$ \，.此外，我们提出了一个简单的线性算法来计算树的$ξ^c$。
英文摘要：
The eccentric connectivity index $ξ^c$ is a distance--based molecular structure descriptor that was recently used for mathematical modeling of biological activities of diverse nature. We prove that the broom has maximum $ξ^c$ among trees with a fixed maximum vertex degree, and characterize such trees with minimum $ξ^c$\,. In addition, we propose a simple linear algorithm for calculating $ξ^c$ of trees.
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。
