3 papers
cs.LG2022
A Topological characterisation of Weisfeiler-Leman equivalence classes
Jacob Bamberger
Graph Neural Networks (GNNs) are learning models aimed at processing graphs and signals on graphs. The most popular and successful GNNs are based on message passing schemes. Such s…
math.GR2022
Failure of the finitely generated intersection property for ascending HNN extensions of free groups
Jacob Bamberger, Daniel T. Wise
The main result in this paper is the failure of the finitely generated intersection property (FGIP) of ascending HNN extensions of non-cyclic finite rank free groups. This class of…
math.GR2020
Good stackings, bislim structures, and invariant staggerings
Jacob Bamberger, David Carrier, Jonah Gaster +1
Two seemingly different properties of 2-complexes were developed concurrently as criteria for the nonpositive immersion property: 'good stackings' and 'bislim structures'. We estab…