Justify your answer using a graph model—say what the vertices and edges of your

Mathematics
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Justify your answer using a graph model—say what the vertices and edges of your graph represent, and what (if any) theorems you use.

May 11th, 2015

A graph is a non-empty finite set V of elements called vertices together with a possibly empty set E of pairs of vertices called edges. Here are a few examples of graphs:

  • Vertex set V={a, b, c, d} and edge set E={(a, b), (b, d)}
  • Vertex set V={1, 2, 3, 4} and edge set E={(2, 4)}
  • Vertex set V={wolf, goat, cabbage} and edge set E={(wolf, cabbage)}
  • Vertex set V={A, B, C} and edge set E={}

A graph with 6 vertices and 7 edges


May 13th, 2015

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