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Vertex edge graphs
Vertex edge graphs
Vertex edge graphs
Vertex edge graphs
Vertex edge graphs
Vertex edge graphs
Vertex edge graphs
Vertex edge graphs
Vertex edge graphs
Vertex edge graphs
Vertex edge graphs
Vertex edge graphs
Vertex edge graphs
Vertex edge graphs
Vertex edge graphs
Vertex edge graphs
Vertex edge graphs
Vertex edge graphs
Vertex edge graphs
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Vertex edge graphs

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  • 1. Vertex-Edge Graphs
  • 2. The Basics❖ A vertex-edge graph is a graph thatincludes 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 berepresented by a vertex-edge graph.
  • 3. The Basics This is a MAP. This is a border. 1 2 5 4 This is another border. 3There 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 5There are 4 regions. This map has 7.
  • 5. Now that we know thebasics, 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 linebetween 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 linebetween 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 linebetween 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 graphThis 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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