The minor minimal intrinsically chiral graphs

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.

12 pages, 9 figures