Consider a directed graph. Is there any theorem on minimum number of outgoing or incoming links for each node of digraph that guarantees the existence of directed spanning tree?
2026-03-30 14:01:08.1774879268
Directed spanning tree
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There can't be such a qualifying number. Imagine a graph that meets such a threshold. Then take 3 copies of the graph and link as follows:
There is no directed spanning tree for this composite graph although it meets the assumed incoming/outgoing links criteria.