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 embedded in S-3 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 simple intrinsically chiral graphs with at most eleven edges. (C) 2020 Elsevier B.V. All rights reserved.