hat is the number of unlabeled simple directed graph that can be made with 1 or 2 vertices?
Question
What is the number of unlabeled simple directed graphs that can be made with 1 or 2 vertices?
Solution
The number of unlabeled simple directed graphs that can be made with 1 or 2 vertices can be calculated as follows:
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For 1 vertex: There is only one possible graph, which is the graph with a single vertex and no edges.
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For 2 vertices: There are three possible graphs. They are:
- A graph with two vertices and no edges.
- A graph with two vertices and one edge (two possibilities here, one for each direction of the edge).
- A graph with two vertices and two edges (one in each direction).
So, in total, there are 1 (for 1 vertex) + 3 (for 2 vertices) = 4 unlabeled simple directed graphs that can be made with 1 or 2 vertices.
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