论文标题

苯苯二甲酸酯的凸度不足

Convexity deficit of benzenoids

论文作者

Bašić, Nino, Berkemer, Sarah, Fallmann, Jörg, Fowler, Patrick W., Gatter, Thomas, Pisanski, Tomaž, Retzlaff, Nancy, Stadler, Peter F., Zemljič, Sara S.

论文摘要

2012年,克鲁兹(Cruz),古特曼(Gutman)和拉达(Rada)引入了一个苯苯二甲酸酯,他们称之为苯苯苯苯;在本文中,我们介绍了凸度不足,这是一种针对苯苯二甲酸酯和更普遍的熔融剂的新拓扑指数。该指数通过给定的熔融偏离凸度的数量来衡量。它是根据边界编码定义的。尤其是,凸苯基正是苯苯二甲酸酯等于0。Quasi-convex苯苯二酚构成了最接近凸的非convex苯苯二甲酸的家族,即它们的凸度缺陷等于1。最后,我们研究了convexity defectity convexity defical of Convexity of benzenoids benzenoids of benzenenoids of benzenenoid sen seneroid sen sen sen sen sen sen sen sen sen sen sen sen sen sen of benzenoid sen sen sen sen sen sen sen of benzenenoid of benzenenoid。

In 2012, a family of benzenoids was introduced by Cruz, Gutman, and Rada, which they called convex benzenoids. In this paper we introduce the convexity deficit, a new topological index intended for benzenoids and, more generally, fusenes. This index measures by how much a given fusene departs from convexity. It is defined in terms of the boundary-edges code. In particular, convex benzenoids are exactly the benzenoids having convexity deficit equal to 0. Quasi-convex benzenoids form the family of non-convex benzenoids that are closest to convex, i.e., they have convexity deficit equal to 1. Finally, we investigate convexity deficit of several important families of benzenoids.

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