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netineya
2 months ago
9

Is the statement ""For every natural number n ≥ 1 there exists a directed graph of n vertices for which every vertex has an inde

gree equal to its outdegree"" TRUE or FALSE?
Mathematics
1 answer:
Svet_ta [12.7K]2 months ago
5 0

Answer:

The statement provided is incorrect.

Step-by-step explanation:

Reason

Let D be a directed graph with 'n' vertices and 'E' edges.

For instance, if 'n' equals 1, then D = (n,E).

In directed graphs, the in-degree refers to the count of incoming edges to a vertex, termed indegree.

This is denoted as deg⁺(n).

In a directed graph, it is known that

if deg⁻(n) = deg⁺(n) for each vertex n.

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