Frucht's theorem for the digraph factorial

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Frucht's theorem for the digraph factorial

To every graph (or digraph) A, there is an associated automorphism group Aut(A). Frucht’s theorem asserts the converse association; that for any finite group G there is a graph (or digraph) A for which Aut(A) ∼= G. A new operation on digraphs was introduced recently as an aid in solving certain questions regarding cancellation over the direct product of digraphs. Given a digraph A, its factoria...

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ژورنال

عنوان ژورنال: Discussiones Mathematicae Graph Theory

سال: 2013

ISSN: 1234-3099,2083-5892

DOI: 10.7151/dmgt.1661