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Combinatorics/graph theory: Digraphs and cycles

 
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Jan9-13, 12:38 PM   #1
 

Combinatorics/graph theory: Digraphs and cycles


Hi,

How would you go about proving the following statement?

Let k:= ∂+(D) with k≥ 1. Then D contains a cycle of length at least k+1.

∂+(D) is the minimum out degree of any vertex in digraph D.

Thanks a lot, Will
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