From the 1 of 14 linked papers with an AI index.
14 papers
Antipodal paths in covers of spheres
David Ellis, Maria-Romina Ivan, Imre Leader +1
The authors prove that if an n‑dimensional sphere is covered by k open sets with n ≥ 2k‑2, then one of the sets must contain a path whose endpoints are antipodal, and they show thi…
Optimal Embeddings of Posets in Hypercubes
Tomáš FlÃdr, Maria-Romina Ivan, Sean Jaffe
Given a finite poset , the hypercube-height, denoted by , is defined to be the minimum such that there exists a natural number for which the su…
Generalised Prisms and Euclidean Ramsey Theory
Maria-Romina Ivan, Imre Leader, Mark Walters
A finite subset of is called Ramsey if for every there exists an such that whenever is -coloured there exists a monochromatic congruent c…
Gluing Posets and the Dichotomy of Poset Saturation Numbers
Maria-Romina Ivan, Sean Jaffe
Given a finite poset , we say that a family of subsets of is -saturated if does not contain an induced copy of ,…
Linear Saturation for via Butterflies
Maria-Romina Ivan, Nandi Wang
Given a finite poset , how small can a family of subsets of be such that does not contain an induced copy of , but $\mathcal…
The Exact Saturation Number for the Diamond
Maria-Romina Ivan, Sean Jaffe
What is the smallest size of a family of subsets of such that it does not contain an induced copy of as a poset (known as the \textit{diamond}), but adding a new set cr…