Prove or disprove: There exists a 4-regular graph G of order 7 and an orientation D of G

Chapter 15, Problem 5

(choose chapter or problem)

Prove or disprove: There exists a 4-regular graph G of order 7 and an orientation D of G such that for each vertex u of D, there exists either a directed u v path of length 1 or a directed u v path of length 2 but not both for every vertex v of D with v 6= u.

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