(a) what is the degree of vertex A?(b) list all the even vertices and all the odd vertices.(c) list all vertices that are adjacent to vertex E.

SOLUTION
(a) All the vertices have 3 lines emanating from them with the exception of C which has 2 lines. That is points A, B, D, and E have 3 lines emanating from them. So their degree is 3.
Therefore, the degree of vertex A is 3
(b) The even vertex is the one that has 2 lines emanating from it. So, the even vertex is C, and the odd vertices are A, B, D, and E. Because they have 3 lines.
(c) All the vertices that are adjacent to E are all the lines drawn to touch all the other vertices. So, A, B, and D are connected to E.
Therefore the vertices adjacent to E are A, B, and D