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Locating a Seymour vertex in oriented graphs having minimum outdegree at most 7

Sadhukhan, Arpan et al.
arXiv (All) · Papers
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05c20combinatoricsdiscrete-mathematics
A vertex $v$ of an oriented graph $D$ is a Seymour vertex if the number of outneighbors of $v$ is less than or equal to the number of second outneighbors of $v$ (vertices at directed distance exactly $2$ from $v$). Seymour's Second Neighborhood Conjecture claims that every oriented graph contains a
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