2 papers
math.CO2024
About the second neighborhood conjecture for tournaments missing two stars or disjoint paths
Moussa Daamouch, Salman Ghazal, Darine Al-Mniny
Seymour's Second Neighborhood Conjecture (SSNC) asserts that every oriented finite simple graph (without digons) has a vertex whose second out-neighborhood is at least as large as…
math.CO2024
A note on the second neighborhood problem for -anti-transitive and -free digraphs
Dania Mezher, Moussa Daamouch
Seymour Second Neighborhood Conjecture (SSNC) asserts that every finite oriented graph has a vertex whose second out-neighborhood is at least as large as its first out-neighborhood…