论文标题
较小的最小内在手性图
The minor minimal intrinsically chiral graphs
论文作者
论文摘要
分子手性在各种生物学领域都进行了积极研究,包括生物化学,生理学,药理学等,如今,许多手性化合物都广泛众所周知,它表现出生物学特性。分子结构由图结构表示。因此,对图的镜像对称性的研究在自然科学中很重要。如果没有G的嵌入为镜像图像的环境同位素,则据说$ g $是本质上是手性的。 在本文中,我们发现两个次要的本质上手性图$γ_7$和$γ_8$。此外,我们将所有本质上手性图分类为最多11个边缘。
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 $Γ_7$ and $Γ_8$. Furthermore, we classify all intrinsically chiral graphs with at most eleven edges.