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A note on asymmetric hypergraphs
Dominik Bohnert, Christian Winter
A -graph is asymmetric if there does not exist an automorphism on other than the identity, and is called minimal asymmetric if it is as…
On graphs embeddable in a layer of a hypercube and their extremal numbers
Maria Axenovich, Ryan R. Martin, Christian Winter
A graph is cubical if it is a subgraph of a hypercube. For a cubical graph and a hypercube , is the largest number of edges in an -free subgraph of .…
Poset Ramsey number . I. Complete multipartite posets
Christian Winter
A poset contains a copy of some other poset if there is an injection where for every , if and only if $f(X)\le_{P…
Poset Ramsey numbers: large Boolean lattice versus a fixed poset
Maria Axenovich, Christian Winter
Given partially ordered sets (posets) and , we say that contains a copy of if for some injective function and for any $…
Lower Bound on the Size-Ramsey Number of Tight Paths
Christian Winter
The size-Ramsey number of a -uniform hypergraph is the minimum number of edges in a -uniform hypergraph with the property that every `-edge coloring'…
A note on saturation for Berge-G hypergraphs
Maria Axenovich, Christian Winter
For a graph G, a hypergraph H is called Berge-G if there is a hypergraph H', isomorphic to H, containing all vertices of G, so that e is contained in f(e) for each edge e of G, whe…