Original scientific paper

Symmetries of Hexagonal Molecular Graphs on the Torus

Dragan Marušič ; IMFM, Department of Mathematics, University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slovenija
Tomaž Pisanski ; IMFM, Department of Theoretical Computer Science, University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slovenija

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 ½-arc-transitive. Although these symmetries make all vertices and all edges indistinguishable, they imply intrinsic chirality of the corresponding molecular graph.

Keywords

molecular graphs; hexagonal molecular graphs

Hrčak ID:

131972

URI

https://hrcak.srce.hr/131972

Publication date:

4.12.2000.

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