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The minor minimal intrinsically chiral graphs
Discrete Applied Mathematics ( IF 1.0 ) Pub Date : 2021-03-01 , DOI: 10.1016/j.dam.2020.12.009
Howon Choi , Hyoungjun Kim , Sungjong No

Molecular chirality is actively researched in a variety of areas of biology, including biochemistry, physiology, pharmacology, etc., and today many chiral compounds are widely known to exhibit biological properties. The molecular structure is represented by a graph structure. Therefore, the study of the mirror symmetry of a graph is important in the natural sciences. A graph $G$ is said to be intrinsically chiral if no embedding of G is ambient isotopic to its mirror image. In this paper, we find two minor minimal intrinsically chiral graphs $\Gamma_7$ and $\Gamma_8$. Furthermore, we classify all intrinsically chiral graphs with at most eleven edges.

中文翻译:

次要的极小本征手征图

分子手性在生物学的各个领域得到了积极的研究,包括生物化学、生理学、药理学等,如今,许多手性化合物都广为人知地表现出生物学特性。分子结构由图形结构表示。因此,图的镜像对称性研究在自然科学中具有重要意义。如果 G 的嵌入不与其镜像是环境同位素,则称图 $G$ 本质上是手性的。在本文中,我们找到了两个较小的最小本征手征图 $\Gamma_7$ 和 $\Gamma_8$。此外,我们对最多具有 11 个边的所有本质手征图进行分类。
更新日期:2021-03-01
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