1. 

3. Now try this one

4. Challenge:  Is this even possible?  One gets stuck….

5. You have been creating graphs  This is a special type of graph represented by what are called nodes and edges.  Nodes: are the point or shape that was being connected sometimes called vertices  Edges: are the lines that connect the nodes sometimes referred to as arcs.  The entire picture/graph is called a network.

6. What do we observe about nodes and edges?  What do you observe about the graph?  What possible reason can you give for this observations? Some of the nodes are different sizes The number of connections a node has changes the size of the node

7. Network Generators  Recreate an already known network based on a set of instructions.  Sometimes these generators group them into communities based on the relationships between nodes.  Sometimes the communities are overlapping or in the style of a Venn Diagram.  We will be learning what these different graphs look like and recreating our own networks to show a relationship within science topics.

8. Relationship  Nodes that are connected have a relationship.  One node that has many nodes connected to it creates a community.  How many communities do you see in the graph to the right?

9. Venn Diagrams in Graph Theory

10. Can you label the nodes, edges, and communities?

11. Nodes: Dots Edges: Lines