苯并咪唑的凸性亏损
Convexity deficit of benzenoids
摘要：
2012年，克鲁兹、古特曼和拉达提出了一个苯并咪唑家族，他们称之为凸苯并咪唑。在本文中，我们介绍了凸赤字，一个新的拓扑指数，旨在苯并噻吩，更一般地说，fusenes。该指数通过给定的融合子偏离凸性的程度来测量。它是根据边界边代码定义的。特别地，凸benzeles恰好是凸度亏损等于0的benzeles。准凸benzeles形成最接近凸的非凸benzeles族，即，它们的凸度赤字等于1。最后，我们研究了几个重要的苯并环族的凸性亏损。
英文摘要：
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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