Let us consider the following graph. (picture attached bellow) Answer the follow

Question

Let us consider the following graph. (picture attached bellow)

Answer the following questions:

Let us consider the following graph. (picture attached bellow) Answer the following questions: What is the set of vertices and set of edges? Is the graph directed or undirected? Which are the vertices adjacent with vertex 12? Which are the edges adjacent with edge (3, 12)? What is the degree of vertices 0, 2, 3, and 12? What node has the maximum degree in the above graph? Enumerate all cycles which contain the edge (3, 12). Is the graph connected? Is the graph complete?

Explanation / Answer

1.Set of Vertices = {1,2,3,4,5,6,7,8,9,10,11,12}

Set of Edges = {(0,1),(0,9),(0,12),(1,10)(1,2)(2,10)(2,11)(2,12)(2,5)(2,3)(3,11)(3,12)(3,4)(4,9)(4,8)(5,6)(5,12)(6,7)(7,8)(7,9)(7,12)(7,11)(8,9)(9,10)}

2. undirected

3. 0,2,3,5,and 7

4.

5. 0 - 3

2- 6

3 - 4

12 - 5

6. 2 (6)

7.

8.Yes

9.Yes

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