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Subset selection problems in planar point sets
József Balogh, Felix Christian Clemen, Adrian Dumitrescu +1
Given a finite point set satisfying condition , the subset selection problem asks, how large of a subset satisfying condition can be extracted? In this p…
A note on the mutual-visibility coloring of hypercubes
Maria Axenovich, Dingyuan Liu
A subset of vertices in a graph is a mutual-visibility set if for any two vertices there exists a shortest - path in that contains no elements of …
Chromatic Ramsey numbers and two-color Turán densities
Maria Axenovich, Simon Gaa, Dingyuan Liu
Given a graph , its -color Turán number is the maximum number of edges in an -vertex graph, such that the edges can be colored with two colors avo…
On the number of sets with small sumset
Dingyuan Liu, Letícia Mattos, Tibor Szabó
We investigate subsets with small sumset in arbitrary abelian groups. For an abelian group and an -element subset we show that if , the…
Induced saturation for complete bipartite posets
Dingyuan Liu
Given , a complete bipartite poset is a poset whose Hasse diagram consists of pairwise incomparable vertices in the upper layer and pa…
Visibility in hypercubes
Maria Axenovich, Dingyuan Liu
A subset of vertices in a graph is a mutual-visibility set if any two vertices and in ``see'' each other in , that is, there exists a shortest -path in…