Question

for the graph, find the degree for each vertex
(see attachment)

Answer 1

Help please!

Answer 2

Each vertex seems to have a degree of 2. See:

http://mathworld.wolfram.com/VertexDegree.html

for more info.

Answer 3

so the answer is 2 then?

Answer 4

The simplified explanation on how to find the degree for each vertex is to find how many line segments meet at each vertex. In polygons like you have drawn, there are only two line segments that meet at each vertex.

Answer 5

lol why are these called "graphs"

I have seen discrete maths exam paper papers and they have these sort of question in them
whats the deal lol

Answer 6

If you are asked to degree for each vertex, you would have to write a more complete answer to say that each vertex has a degree of 2, or list each vertex with its vertex degree.

Answer 7

A simple 2 would not answer the question.

Answer 8

@elecengineer maybe you have to imagine a set of co-ordinate axes associated with the "graph" lol

Answer 9

how about this one?

Answer 10

so for the first one it would be
"each vertex has adegree of 2"

Answer 11

That one is a little more interesting than the last one. That kind of looks like the corner of a room. The vertices of your second diagram have different vertex degrees.

Just count the number of line segments that meet at each vertex and you will have the vertex degree.

Answer 12

I assume the line segments that almost meet at a vertex are supposed to meet; it's just a quick drawing?

Answer 13

well i drew that one let me redraw it lol

Answer 14

thats better, so there are 6 vertecies so is it still 2?

Answer 15

Think of a vertex as a point. (where line segments meet). In your new drawing, there are 6 vertices (the plural of vertex). Each vertex in your drawing has a vertex degree, and they aren't all the same in this drawing.

Answer 16

For example, the vertex at the top-left of your drawing has a vertex degree of 2 since there are two line segments that meet at that point.

What would you say is the vertex degree of the vertex at the top-middle?

Answer 17

well the lines are more equal in the dralwing

Answer 18

The length of the lines doesn't matter to find the vertex degree.

Answer 19

i would say 4

Answer 20

It's actually 3 because there is one line segment coming in from the left, one line segment from the right and one segment from the bottom.

Try putting your finger on each vertex and count around your finger to see how many line segments there are.

Answer 21

7 segments?

Answer 22

I re-drew your diagram and included labeled points, so it is easier to talk about the same point.

Answer 23

Look at vertex B. Vertex B is the red point labeled with a B

Answer 24

How many blue lines touch B?

Answer 25

ok im looking

Answer 26

um 3?

Answer 27

Yes! So the vertex degree of B is 3.

Answer 28

How about vertex F? How many blue lines meet/touch F?

Answer 29

um im looking ...looks like just 2 touch F

Answer 30

Correct. I think you've got it. You will have to find the vertex degree for A, B, C, D, E, and F individually in this question since there are different vertex degrees for each.

Answer 31

okay, thanks for your help a medal is on the way! :)

Answer 32

nevermind about the medal, it wont let me give u 1!