SOLVED: A graph has 7 vertices, each of degree 4. How many edges does the graph have?
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SOLVED: Draw a simple, connected, directed graph with 8 vertices and 16 edges such that the in-degree and out-degree of each vertex is 2. Show that there is a single (nonsimple) cycle that includes all the edges of your graph, that is, you can trace all the edges in their respective directions without ever lifting your pencil. (Such a cycle is called an Euler tour.) | Numerade
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