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.

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