Rhomboidal C4C8 toris which are Cayley graphs
F. Afshari, M. Maghasedi
TL;DR
This paper characterizes which rhomboidal C4C8 toroidal graphs are Cayley graphs, contributing to the understanding of symmetric graph structures derived from tilings.
Contribution
It identifies the specific rhomboidal C4C8 toris that can be represented as Cayley graphs, a novel classification in the context of tiling-based graphs.
Findings
Certain rhomboidal C4C8 toris are Cayley graphs.
Classification of Cayley graph structures among C4C8 toris.
Enhanced understanding of symmetry in tiling-derived graphs.
Abstract
A C4C8 net is a trivalent decoration made by alternating squares C4 and octagons C8. It can cover either a cylinder or a torus. In this paper we determine rhomboidal C4C8 toris which are Cayley graphs.
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Taxonomy
TopicsGraph theory and applications · Interconnection Networks and Systems · Synthesis and Properties of Aromatic Compounds