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math.CO2024
Hitting times in the binomial random graph
Bertille Granet, Felix Joos, Jonathan Schrodt
Fix , choose , and consider . For any pair of vertices , we give a simple and prec…
math.CO2024
Seymour's second neighbourhood conjecture: random graphs and reductions
Alberto Espuny Díaz, António Girão, Bertille Granet +1
A longstanding conjecture of Seymour states that in every oriented graph there is a vertex whose second outneighbourhood is at least as large as its outneighbourhood. In this short…