Graph G G is composed of vertices H , I , J , K , L H,I,J,K,L , and edges H I , H J , H K , I K , J K , J L , K L HI,HJ,HK,IK,JK,JL,KL . Find the degree of vertex K K .

Welcome back. In this problem, we're working with the same graph that we saw in part A. Graph G composed of the following vertices and edges. Now, we want to find the degree of vertex K. There are a couple of ways that we can do this, but typically we've been to find the degree of vertices when we have a picture of the graph. So one helpful method might be to actually draw the picture first and then answer the question. We did draw this graph in the previous practice, so let's get our graph here. Perfect. All right, so we want to find the degree of vertex K. So we're gonna head to vertex K and see how many edges it has coming off of it. We have 1234 edges off of vertex K, which means that vertex K has degree 4. Now, drawing the graph is one way to get the degree of vertex K, but another is to use the edges that we have listed here. First, we would locate all of the edges that include vertex K in its name. Because we have 4 edges with vertex K in its name, we know that these four edges are connected to vertex K. And if there are 4 edges connected to vertex K, then vertex K must have degree 4. We can use either of these methods to find that vertex K has degree 4. Great work.

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1. Critical Thinking & Problem Solving1h 59m

Inductive and Deductive Reasoning
46m

Estimation and Graphs
49m

Problem Solving
24m

2. Sets4h 25m

Basic Set Concepts and Notation
24m

The Empty Set
6m

Subsets
43m

Complement of a Set
23m

Intersections and Unions
1h 40m

Venn Diagrams and Operations with Three Sets
35m

Set Applications: Survey Problems
32m

3. Logic4h 33m

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18m

Quantifiers
20m

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1h 0m

If-Then Statements (Conditionals)
21m

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42m

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29m

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30m

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33m

Standard Forms of Arguments
15m

4. The Real Number System3h 5m

Integers & the Order of Operations
15m

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39m

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16m

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18m

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15m

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Linear Equations
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27m

Linear Inequalities in One Variable
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59m

Rectangular Coordinate System
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29m

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10m

Using Intercepts to Graph Lines
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58m

Systems of Linear Equations
1h 25m

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24m

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14m

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Trigonometry
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10. Voting and Apportionment3h 3m

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Fairness Criterion
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26m

Hamilton's Method
16m

Jefferson's Method
15m

Alabama Paradox
12m

12. Graph Theory3h 1m

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31m

Degrees of Vertices
22m

Paths and Circuits
14m

Euler Paths and Euler Circuits
11m

Euler's Theorems
31m

Hamilton Paths and Hamilton Circuits
1h 9m

12. Graph Theory

Degrees of Vertices

Quantitative Reasoning

12. Graph Theory

Degrees of Vertices

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Multiple Choice

Graph $G$ is composed of vertices $H, I, J, K, L$ , and edges $H I, H J, H K, I K, J K, J L, K L$ .
Find the degree of vertex $K$ .

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Graph GG is composed of vertices H,I,J,K,LH,I,J,K,L, and edges HI,HJ,HK,IK,JK,JL,KLHI,HJ,HK,IK,JK,JL,KL.Find the degree of vertex KK.

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Graph $G$ is composed of vertices $H, I, J, K, L$ , and edges $H I, H J, H K, I K, J K, J L, K L$ .
Find the degree of vertex $K$ .