Abstract
This paper introduces a family of tetravalent graphs called ";rose window graphs";, denoted R_n(a, r), and investigates their symmetry properties. Four families of these graphs are shown to be edge-transitive and it is conjectured that every R_n(a, r) which is edged-transitive belongs to one of these families. Proofs and conjectures about the size of a dart-stabilizer and about regular maps containing these graphs are also offered.
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