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math.CO2022
The graph minor relation satisfies the twin alternative conjecture
Jorge Bruno
In 2006 Bonato and Tardif posed the Tree Alternative Conjecture (TAC): the equivalence class of a tree under the embeddability relation is, up to isomorphism, either trivial or inf…
math.CO2022
A Proof of the Tree Alternative Conjecture Under the Topological Minor Relation
Jorge Bruno, Paul Szeptycki
We prove the Tree Alternative Conjecture for the topological minor relation: letting denote the equivalence class of under the topological minor relation we show that: $|…