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3 years ago

PLEASE HELP I AM ON A TIME LIMIT

Mathematics

1 answer:

Alinara [238K]3 years ago

5 0

Answer:

(a) even: J, K, M, O; odd: L, N

(b) L and O are connected to J

Step-by-step explanation:

Count the edge ends that intersect each vertex. You get ...

J-2, K-2, L-3, M-2, N-3, O-4

These numbers are the <em>degree</em> of the vertex.

a) Vertices with even degree are J, K, M, O, since these have degrees of 2, 2, 2, and 4, respectively--all even numbers.

Vertices with odd degree are L and N, since these both have degree 3, an odd number.

b) The vertices that are adjacent to J are the ones at the other ends of the edges that intersect vertex J. One of those two edges connects to vertex L; the other to vertex O. J is adjacent to L and O.

c) When we counted edges in part (a), we found vertex N to be of degree 3.

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