Euler Circuit Theorem

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Last updated 2:21 AM on 4/11/26
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4 Terms

1
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Euler Circuit

  1. Must be connected

  2. The degree of every vertex must be even

  3. Start and End at the same place

  • Some may or may not be if you cannot see it

In order for a circuit to exist, every degree must be even.

2
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Eulers Path

Start somewhere, end somewhere else.

  1. graph must be connected.

  2. Must have exactly 2 odd vertices.

3
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You can add ….

edges that correspond to existing edges.

4
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You cannot create or destroy

vertices