2 papers
math.CO2026
A sharp RandiÄ bound for König--Egerváry graphs and a conjecture of Aouchiche, Hansen, and Zheng
Pei Liu, Feiyu Nan, Suil O +1
Let be the matching number of a graph , and let its RandiÄ index be . In 2006, Aouchiche, Hansen, and Zheng conjectured that t…
math.CO2026
A container theorem for general digraphs with forbidden subdigraphs
Meili Liang, Yue Guan, Ruiling Zheng +1
In a seminal work, Kühn, Osthus, Townsend, and Zhao used the hypergraph container method to determine the typical structure of oriented graphs and digraphs avoiding a fixed tourna…