The minor minimal intrinsically chiral graphs

Howon Choi; Hyoungjun Kim; Sungjong No

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arXiv · 2005.05161

The minor minimal intrinsically chiral graphs

Howon Choi·Hyoungjun Kim·Sungjong No

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Abstract

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.

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Howon Choi, Hyoungjun Kim, Sungjong No. 2020-05-11. The minor minimal intrinsically chiral graphs. https://arxiv.org/abs/2005.05161

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