关于Djoković-Winkler关系及其在富勒烯、三角剖分和弦图细分中的封闭性
On the Djoković-Winkler relation and its closure in subdivisions of fullerenes, triangulations, and chordal graphs
摘要：
最近指出，某些SiO $_2$层结构和SiO $_2$纳米管可以被描述为完全细分，即部分立方体的细分图。分析分子图中基于距离的拓扑指数的一个关键工具是Djoković-Winkler关系$Θ$及其传递闭包$Θ^\ast$。本文研究了$Θ$和$Θ^\ast$关于全细分的行为。我们应用我们的结果来描述$Θ^\ast$在充分细分的富勒烯，平面三角形，和弦图。
英文摘要：
It was recently pointed out that certain SiO$_2$ layer structures and SiO$_2$ nanotubes can be described as full subdivisions aka subdivision graphs of partial cubes. A key tool for analyzing distance-based topological indices in molecular graphs is the Djoković-Winkler relation $Θ$ and its transitive closure $Θ^\ast$. In this paper we study the behavior of $Θ$ and $Θ^\ast$ with respect to full subdivisions. We apply our results to describe $Θ^\ast$ in full subdivisions of fullerenes, plane triangulations, and chordal graphs.
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。
