Symmetries of hexagonal molecular graphs on the torus

Authors
Marusic, D Pisanski, T
Citation
D. Marusic et T. Pisanski, Symmetries of hexagonal molecular graphs on the torus, CROAT CHEM, 73(4), 2000, pp. 969-981
Citations number
21
Categorie Soggetti
Chemistry
Journal title
CROATICA CHEMICA ACTA
ISSN journal
00111643 → ACNP
Volume
73
Issue
4
Year of publication
2000
Pages
969 - 981
Database
ISI
SICI code
0011-1643(200012)73:4<969:SOHMGO>2.0.ZU;2-Q
Abstract
Symmetric properties of some molecular graphs on the torus are studied. In particular we determine which cubic cyclic Haar graphs are 1-regular, which is equivalent to saying that their line graphs are 1/2-arc-transitive. Alt hough these symmetries make all vertices and all edges indistinguishable, t hey imply intrinsic chirality of the corresponding molecular graph.