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math.CO2022
Helly-type theorems for the ordering of the vertices of a hypergraph
Csaba Biró, Jenő Lehel, Géza Tóth
Let be a complete -uniform hypergraph such that two vertices are marked in each edge as its `boundary' vertices. A linear ordering of the vertex set of is called an {\em…
math.CO2022
Metric dimension of growing infinite graphs
Csaba Biró, Beth Novick, Daniela Olejnikova
We investigate how the metric dimension of infinite graphs change when we add edges to the graph. Our two main results: (1) there exists a growing sequence of graphs (under the sub…