Discuss a nontrivial connected digraph


Discussion:

Q: Prove Let D be a nontrivial connected digraph. Then D is Eulerian if and only if od(v)=id(v) for every vertex v of D. Od means the outdegree of a vertex v of a digraph D. (is the number of vertices of D that are adjacent from v. id means the indegree of a vertex v of a digraph D.( is the number of vertices of D adjacent to v.

degv=odv+idv

 

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Engineering Mathematics: Discuss a nontrivial connected digraph
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