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### Vertex edge graphs

• 2. The Basics ❖ A vertex-edge graph is a graph that includes edges and vertices. ❖ An edge is a side (shown by a straight line) ❖ Vertices are the points where edges meet. ❖A map made of different regions can be represented by a vertex-edge graph.
• 3. The Basics This is a MAP. This is a border. 1 2 5 4 This is another border. 3 There are 5 regions on this map.
• 4. How many regions are on the following maps? 2 2 7 3 1 1 3 6 4 4 5 There are 4 regions. This map has 7.
• 5. Now that we know the basics, let’s look at a map. What steps will we follow to create a matching vertex-edge graph?
• 6. Step One: Identify the regions on the map. Draw a small circle to represent a vertex in each region.
• 7. Step Two: Fill in the vertex with the matching color from the map.
• 8. Step Three: If the regions share a border, draw a line between the two vertices. Hint- you CANNOT draw a line between two vertices that are the SAME color.
• 9. Get it? Let’s keep practicing!
• 10. Step One: Identify the regions on the map. Draw a small circle to represent a vertex in each region.
• 11. Step Two: Fill in the vertex with the matching color from the map.
• 12. Step Three: If the regions share a border, draw a line between the two vertices. Remember- you CANNOT draw a line between two vertices that are the SAME color.
• 13. You’re catching on! Let’s look at one more...
• 14. Step One: Identify the regions on the map. Draw a small circle to represent a vertex in each region.
• 15. Step Two: Fill in the vertex with the matching color from the map.
• 16. Step Three: If the regions share a border, draw a line between the two vertices. Remember- you CANNOT draw a line if two vertices are the SAME color.
• 17. To Review.... region edge border vertex This is the vertex-edge graph This is a map. you can create from the map.
• 18. What do you think? Why on earth are we studying vertex-edge graphs? How will this type of math help us in a real life situation???
• 19. The answer will soon be revealed....
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