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math.CO2026
Lifting and Folding: A Framework for Unstable Graphs and TF-Cousins
Russell Mizzi
A graph is unstable if its canonical double cover, CDC, has strictly more automorphisms than Aut. A related question is whether two non-isomorphic g…
math.CO2014★ 1 cited
A Generalisation of Isomorphisms with Applications
Josef Lauri, Russell Mizzi, Raffaele Scapellato
In this paper, we study the behaviour of TF-isomorphisms, a natural generalisation of isomorphisms. TF-isomorphisms allow us to simplify the approach to seemingly unrelated problem…
math.CO2014
Unstable Graphs: A Fresh Outlook via TF-Automorphisms
Josef Lauri, Russell Mizzi, Raffaele Scapellato
In this paper, we first establish the very close link between stability of graphs, a concept first introduced in \cite{Scapsalvi1} and studied most notably by Surowski \cite{Surows…