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05/17/2023
On the extremal families for the Kruskal–Katona theorem
In <cit.>, the authors have shown a characterization of the extremal fam...
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05/04/2023
Homomorphisms between graphs embedded on surfaces
We extend the notion of graph homomorphism to cellularly embedded graphs...
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04/11/2023
Extremal families for the Kruskal–Katona theorem
Given a family S of k–subsets of [n], its lower shadow Δ(S) is the famil...
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03/17/2023
Characterisation of the big Ramsey degrees of the generic partial order
As a result of 33 intercontinental Zoom calls, we characterise big Ramse...
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05/25/2021
Big Ramsey degrees and forbidden cycles
Using the Carlson-Simpson theorem, we give a new general condition for a...
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05/21/2021
Big Ramsey degrees of the generic partial order
As a result of 33 intercontinental Zoom calls, we characterise big Ramse...
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08/01/2020
Big Ramsey degrees of 3-uniform hypergraphs are finite
We prove that the universal homogeneous 3-uniform hypergraph has finite ...
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06/10/2019
Big Ramsey degrees of 3-uniform hypergraphs
Given a countably infinite hypergraph R and a finite hypergraph A, the...
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08/14/2018