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math.CO2022
On the restricted size Ramsey number for a pair of cycles
Tomasz Łuczak, Joanna Polcyn, Zahra Rahimi
For graphs by we denote the minimum number of edges in a graph on vertices such that . We show that for each pair of natur…
math.CO2022
Two disjoint cycles in digraphs
Mikołaj Lewandowski, Joanna Polcyn, Christian Reiher
Bermond and Thomassen conjectured that every digraph with minimum outdegree at least contains vertex disjoint cycles. So far the conjecture was verified for . He…