The Second Neighborhood Conjecture for Oriented Graphs Missing $\{C_4,\overline{C_4},S_3,$ chair and co-chair$\}$-Free Graph

Darine Al Mniny, Salman Ghazal

Seymour's Second Neighborhood Conjecture (SNC) asserts that every oriented graph has a vertex whose first out-neighborhood is at most as large as its second out-neighborhood. In th…