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math.CO2019
The Turán number of the square of a path
Chuanqi Xiao, Gyula O. H. Katona, Jimeng Xiao +1
The Turán number of a graph H, ex(n,H), is the maximum number of edges in a graph on n vertices which does not have H as a subgraph. Let P_k be the path with k vertices, the square…
math.CO2019
Set systems related to a house allocation problem
Dániel Gerbner, Balázs Keszegh, Abhishek Methuku +4
We are given a set of buyers, a set of houses, and for each buyer a preference list, i.e., an ordering of the houses. A house allocation is an injective mapping from $A…