Michał Seweryn, Dimension and standard examples in planar posets
Room B332 IBS (기초과학연구원)The dimension of a poset is the least integer
The dimension of a poset is the least integer
By utilizing the recently developed hypergraph analogue of Godsil's identity by the second author, we prove that for all
In 2015, Kawarabayashi and Kreutzer proved the directed grid theorem. The theorem states the existence of a function f such that every digraph of directed tree-width f(k) contains a cylindrical …
We solve a long-standing open problem posed by Goodman and Pollack in 1988 by establishing a necessary and sufficient condition for a finite family of convex sets in
A rooted spanning tree of a graph
Let S and T be two sets of points in a metric space with a total of n points. Each point in S and T has an associated value that specifies an upper limit on how many points it can …
Given a tournament
A seminal result of Tutte asserts that every 4-connected planar graph is hamiltonian. By Wagner's theorem, Tutte's result can be restated as: every 4-connected graph with no