Mathematics Homework Unit 7

Imagine a real-world situation that involves relationships that can be modeled with a graph. A graph consists of a discrete number of vertices and the edges that connect them. When brainstorming the situation you would like to model with a graph, review the examples that have been presented in your unit readings and homework exercises for ideas.

1. Consider a situation in your personal or professional world that involves relationships that can be modeled with a graph. Describe this situation in at least one well-composed paragraph, sharing:
   • A brief description of the situation modeled,
   • What each vertex represents, and
   • What each edge represents.
2. Draw a connected graph using a drawing program of your choice and include it in your post. The following must be present in your graph:
   • 5–10 vertices, each clearly labeled with a single capital letter (A, B, C, D, E …)
   • At least 2 vertices of degree 3 or more (the degree of a vertex is the count of how many edges are attached to that vertex).
   • At least 1 circuit.