7 papers
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…
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 ,…
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…
The Saturation Number for the Diamond is Linear
Maria-Romina Ivan, Sean Jaffe
For a fixed poset we say that a family is -saturated if it does not contain an induced copy of , but whene…
Saturation for Sums of Posets and Antichains
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 ,…
The Induced Saturation Number for is Linear
James Brownlie, Sean Jaffe
Given a poset , a family of elements in the Boolean lattice is said to be -saturated if does not contain an induced copy $\mat…