A connected graph g has an euler circuit every vertex of g


Question: Make sure you understand Theorem by doing these problems.

Theorem: (1) A connected graph G has an Euler circuit ⇐⇒ every vertex of G has even degree.

(2) A connected graph G has an Euler traversal but not an Euler circuit ⇐⇒ G has exactly two vertices of odd degree. Does the graph in Figure have an Euler traversal, an Euler circuit?

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Mathematics: A connected graph g has an euler circuit every vertex of g
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