Classification of some countable descendant-homogeneous digraphs

Details Classification of some countable descendant-homogeneous digraphs Classification of some countable descendant-homogeneous digraphs

2011-04-07

arxiv.org/abs/1104.1277v1

Mathematics

Combinatorics

16 pages

Scientific paper

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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