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Introduction to
   Vertex-Edge Graphs

Learn how to color vertex-edge graphs
   using the least amount of colors
What is an edge?
   An edge is the side of the shape.
How many edges does a rectangle have?




3                 4              2
Sorry! Try
  again!
You are right!
A rectangle has 4 edges!
What is a vertex?
A vertex is the point where two sides of a
  shape meet.
How many vertices does the triangle have?




   4                                    3
Sorry! Try
  again!
You are right!
A triangle has 3
   vertices!
What is a piece?




Each different colored section
   is a piece of this graph.
In a vertex-edge graph, two pieces
that have a shared or common edge
     cannot be the same color.
We want to use the
  fewest colors we can
    to color the graph.

What does fewest mean?
Most /                Least /
More                   Less
Sorry! Try
  again!
You are right!



Fewest means least or less.
Which vertex-edge graph is colored
correctly using the fewest colors?
 Remember— Pieces that have a shared or common
        edge cannot be the same color.




         2                         3
Sorry! Try
  again!
You are right!




Remember: When you color vertex-edge graphs,
  you must use the fewest amount of colors so
  that no pieces that have a common or shared
             edge are the same color.

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Vertex edge graphs

  • 1. Introduction to Vertex-Edge Graphs Learn how to color vertex-edge graphs using the least amount of colors
  • 2. What is an edge? An edge is the side of the shape. How many edges does a rectangle have? 3 4 2
  • 3. Sorry! Try again!
  • 4. You are right! A rectangle has 4 edges!
  • 5. What is a vertex? A vertex is the point where two sides of a shape meet. How many vertices does the triangle have? 4 3
  • 6. Sorry! Try again!
  • 7. You are right! A triangle has 3 vertices!
  • 8. What is a piece? Each different colored section is a piece of this graph.
  • 9. In a vertex-edge graph, two pieces that have a shared or common edge cannot be the same color.
  • 10. We want to use the fewest colors we can to color the graph. What does fewest mean? Most / Least / More Less
  • 11. Sorry! Try again!
  • 12. You are right! Fewest means least or less.
  • 13. Which vertex-edge graph is colored correctly using the fewest colors? Remember— Pieces that have a shared or common edge cannot be the same color. 2 3
  • 14. Sorry! Try again!
  • 15. You are right! Remember: When you color vertex-edge graphs, you must use the fewest amount of colors so that no pieces that have a common or shared edge are the same color.