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Graphs: Problem 25 (1 point) Are the following statements true or false?

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1. Every graph with a Hamilton circuit has a Hamilton path

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2. If

`K_(m,n)`

has an Euler circuit, then

`m`

and

`n`

are both even.

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3. If a graph has 7 vertices and every vertex has the same degree, then the graph has an Euler circuit

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4. Every graph with an Euler circuit has a Hamilton circuit

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5. Every complete graph has an Euler circuit.