Searching for Eulerian and Hamiltonian Paths

vinylmath, Rose Neal, 4/8/2018

Study each of the 6 graphs provided. (a) For each graph, find a Eulerian Path if one exists (i.e., a path for which each [b]edge can be traversed exactly one time[/b]). (b) Next, find a Hamiltonian Path if one exists (i.e., a path that visits [b]each vertex exactly once[/b]). (c) What do you notice about Graphs 4 and 5? (d) What do you notice about Graphs 3 and 6?


  • 1. Graph 1
  • 2. Graph 2
  • 3. Graph 3
  • 4. Graph 4
  • 5. Graph 5
  • 6. Graph 6

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Graph 1
– vinylmath

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