Classification of some countable descendant-homogeneous digraphs
classification
🧮 math.CO
math.GR
keywords
countabledescendant-homogeneousdescendantdigraphdigraphsvertexallowclassification
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For finite q, we classify the countable, descendant-homogeneous digraphs in which the descendant set of any vertex is a q-valent tree. We also give conditions on a rooted digraph G which allow us to construct a countable descendant-homogeneous digraph in which the descendant set of any vertex is isomorphic to G.
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