166k views
0 votes
DOES ANYONE KNOW HOW TO DO THESE?????????

DOES ANYONE KNOW HOW TO DO THESE?????????-example-1
User Larryq
by
6.2k points

1 Answer

6 votes

Answer:

a) Degree of E = 2

b) Even vertices: B, C, E

Odd vertices : A, D

c) Vertices A, C, and E are adjacent to D

Explanation:

a) The degree of a vertex is given by the number of segments that end there, so in the case of vertex E, there are only two segments that connect it, therefore its degree is 2

b) Following the same idea of degree of a vertex, we can find the number of segments that end on each one of the 5 vertices shown and assign to them their degree:

A (3), B (2), C (4), D (3), E (2)

Therefore the odd vertices are: A and D (both of degree 3)

The even vertices are: B, E (both of degree 2, and C (degree 4)

c) the vertices adjacent to vertex D are those connected directly to it via a segment: that is, vertices A, C, and E

User Jevakallio
by
7.0k points