Vertex edge graphs
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Vertex edge graphs

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Vertex edge graphs Vertex edge graphs Presentation Transcript

  • Vertex-Edge Graphs
  • 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.
  • 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.
  • 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.
  • Now that we know thebasics, let’s look at a map.What steps will we follow to create a matching vertex-edge graph?
  • Step One: Identify the regions on the map.Draw a small circle to represent a vertex in each region.
  • Step Two: Fill in the vertex with the matching color from the map.
  • 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.
  • Get it?Let’s keep practicing!
  • Step One: Identify the regions on the map.Draw a small circle to represent a vertex in each region.
  • Step Two: Fill in the vertex with the matching color from the map.
  • 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.
  • You’re catching on! Let’s look at one more...
  • Step One: Identify the regions on the map.Draw a small circle to represent a vertex in each region.
  • Step Two: Fill in the vertex with the matching color from the map.
  • 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.
  • To Review.... region edge border vertex This is the vertex-edge graphThis is a map. you can create from the map.
  • 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???
  • The answer will soon be revealed....