Christian Winter

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20222024

most citedRamsey numbers for partially ordered sets

1 citations · 2 across the 5 of their papers we have counts for

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math.CO2024★ 1 cited

Ramsey numbers for partially ordered sets

Christian Winter

In this thesis, we present quantitative Ramsey-type results in the setting of finite sets that are equipped with a partial order, so-called posets. A prominent example of a poset i…

math.CO2024

Diagonal poset Ramsey numbers

Maria Axenovich, Christian Winter

A poset $(Q, \leq_{Q})$ contains an induced copy of a poset $(P, \leq_{P})$ if there exists an injective mapping $ϕ : P \to Q$ such that for any two elements $X, Y \in P$ , $X \leq_{P} Y$ if a…

math.CO2023★ 1 cited

Erdős-Hajnal problems for posets

Christian Winter

We say that a poset $(Q, \leq_{Q})$ contains an induced copy of a poset $(P, \leq_{P})$ if there is an injective function $ϕ : P \to Q$ such that for every two $X, Y \in P$ ,\;\;$X\le_P…

math.CO2023

Poset Ramsey number $R (P, Q_{n})$ . III. Chain Compositions and Antichains

Christian Winter

An induced subposet $(P_{2}, \leq_{2})$ of a poset $(P_{1}, \leq_{1})$ is a subset of $P_{1}$ such that for every two $X, Y \in P_{2}$ , $X \leq_{2} Y$ if and only if $X \leq_{1} Y$ . The Boolean lattice $Q_n…

math.CO2022

Poset Ramsey Number $R (P, Q_{n})$ . II. Antichains

Christian Winter

For two posets $(P, \leq_{P})$ and $(P^{'}, \leq_{P^{'}})$ , we say that $P^{'}$ contains a copy of $P$ if there exists an injective function $f : P^{'} \to P$ such that for every two $X, Y \in P$ ,…

Ramsey numbers for partially ordered sets

Diagonal poset Ramsey numbers

Erdős-Hajnal problems for posets

Poset Ramsey number R(P,Qn​). III. Chain Compositions and Antichains

Poset Ramsey Number R(P,Qn​). II. Antichains

Poset Ramsey number $R (P, Q_{n})$ . III. Chain Compositions and Antichains

Poset Ramsey Number $R (P, Q_{n})$ . II. Antichains