The minor minimal intrinsically chiral graphs

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...

Full description

Saved in:
Bibliographic Details
Published inDiscrete Applied Mathematics Vol. 291; pp. 237 - 245
Main Authors Choi, Howon, Kim, Hyoungjun, No, Sungjong
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 11.03.2021
Elsevier BV
Subjects
Biological properties
Chirality
Embedding
Graphical representations
Graphs
Intrinsically chiral
Minor minimal
Molecular structure
Pharmacology
Spatial graph
Symmetry
Spatial graph
Minor minimal
Intrinsically chiral
Symmetry
Online AccessGet full text

Cover

More Information
Summary: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 S3 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 Γ7 and Γ8. Furthermore, we classify all simple intrinsically chiral graphs with at most eleven edges.
ISSN:0166-218X
1872-6771
DOI:10.1016/j.dam.2020.12.009