论文标题

简单图表的手性最多12

Chirality for simple graphs of size up to 12

论文作者

Choi, Howon, Kim, Hyoungjun, No, Sungjong

论文摘要

手性是自然科学广泛领域的重要分解特性之一,已被研究以预测分子行为。用复杂结构分析分子的好方法之一将它们表示为嵌入3维空间中的图。因此,重要的是研究空间图的手性以了解手性分子的结构。此外,罗伯逊(Robertson)和西摩(Robertson)的图形定理暗示,相对于内在特性的一组次要最小图是有限的。因此,找到一组固有特性的完整最小图也很重要。在本文中,我们将最小的本质上手性图分类为最多十二的简单图。

Chirality is one of the important assymmetrical property in wide area of natural science, which has been studied to predict molecular behavior. One of good methods to analyze molecules with complex structures is representing them as graphs embedded in 3-dimensional space. So it is important to study the chirality of spatial graphs to understand structure of chiral molecules. Moreover, Robertson and Seymour's graph minor theorem implies that a set of minor minimal graphs with respect to intrinsic properties is finite. So it is also important to find a complete set of minor minimal graphs for intrinsic properties. In this paper, we classify minor minimal intrinsically chiral graphs among simple graphs of size up to twelve.

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