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math.CO2025
Acyclic subgraphs of digraphs with high chromatic number
Raphael Yuster
For a digraph , let be the maximum chromatic number of an acyclic subgraph of . For an -vertex digraph it is proved that where…
math.CO2025
Inducibility in -free graphs and inducibility of Turán graphs
Raphael Yuster
For graphs and , let denote the inducibility of and let denote the inducibility of over -free graphs. We prove that for almost all graphs on a…