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math.GR2020
On -closed abelian permutation groups
Dmitry Churikov, Ilia Ponomarenko
A permutation group is said to be -closed if no group such that has the same orbits on as . A simple…
math.CO2020
The Weisfeiler-Leman dimension of distance-hereditary graphs
Alexander L. Gavrilyuk, Roman Nedela, Ilia Ponomarenko
A graph is said to be distance-hereditary if the distance function in every connected induced subgraph is the same as in the graph itself. We prove that the ordinary Weisfeiler-Lem…