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20112022
most citedInfinite primitive and distance transitive directed graphs of finite out-valency

3 citations · 4 across the 3 of their papers we have counts for

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math.CO2022★ 1 cited

Distance-transitive digraphs: descendant-homogeneity, property and reachability

Daniela A. Amato

We investigate the class of infinite distance-transitive digraphs of finite out-valency. We show that if is a weakly descendant-homogeneous in such a class then either (1)…

math.CO2014★ 3 cited

Infinite primitive and distance transitive directed graphs of finite out-valency

Daniela Amato, David M. Evans

We give certain properties which are satisfied by the descendant set of a vertex in an infinite, primitive, distance transitive digraph of finite out-valency and provide a strong s…

math.CO2011

Classification of some countable descendant-homogeneous digraphs

Daniela Amato, David M. Evans, John K. Truss

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…