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The minor minimal intrinsically chiral graphs

Authors
Choi, HowonKim, HyoungjunNo, Sungjong
Issue Date
11-3월-2021
Publisher
ELSEVIER
Keywords
Spatial graph; Intrinsically chiral; Minor minimal; Symmetry
Citation
DISCRETE APPLIED MATHEMATICS, v.291, pp.237 - 245
Indexed
SCIE
SCOPUS
Journal Title
DISCRETE APPLIED MATHEMATICS
Volume
291
Start Page
237
End Page
245
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/49476
DOI
10.1016/j.dam.2020.12.009
ISSN
0166-218X
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.
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