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math.CO2023
On Seymour's and Sullivan's Second Neighbourhood Conjectures
Jiangdong Ai, Stefanie Gerke, Gregory Gutin +3
For a vertex of a digraph, (, resp.) is the number of vertices at distance 1 from (to, resp.) and is the number of vertices at distance 2 from…
math.CO2023
Bounds on Maximum Weight Directed Cut
Jiangdong Ai, Stefanie Gerke, Gregory Gutin +2
We obtain lower and upper bounds for the maximum weight of a directed cut in the classes of weighted digraphs and weighted acyclic digraphs as well as in some of their subclasses.…