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math.CO2022
Seymour's Second Neighborhood Conjecture for orientations of (pseudo)random graphs
Fábio Botler, Phablo F. S. Moura, Tássio Naia
Seymour's Second Neighborhood Conjecture (SNC) states that every oriented graph contains a vertex whose second neighborhood is as large as its first neighborhood. We investigate th…
math.CO2022
The chromatic index of random graphs
Fábio Botler, Lucas Colucci, Yoshiharu Kohayakawa
The chromatic index of a graph is the minimum number of colors needed to color the edges of in a way that the subgraph spanned by the edges of each color has…