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math.CO2016
On the Linear Cycle Cover Conjecture of Gyárfás and Sárközy
Beka Ergemlidze, Ervin Győri, Abhishek Methuku
A linear cycle in a hypergraph is a cyclic sequence of hyperedges such that two consecutive hyperedges intersect in exactly one element and two nonconsecutive hyperedges are di…
math.CO2016
-uniform hypergraphs and linear cycles
Beka Ergemlidze, Ervin Győri, Abhishek Methuku
Gyárfás, Győri and Simonovits proved that if a -uniform hypergraph with vertices has no linear cycles, then its independence number . The hypergraph cons…