Examine the graph to the right. a. Determine whether the graph has an Euler path

Question

Examine the graph to the right. a. Determine whether the graph has an Euler path, an Euler circuit, or neither b. If the graph has an Euler path or circuit, use trial and error or Fleury's algorithm to find one a. Choose the correct answer below. O A. The graph has an Euler circuit O B. The graph has an Euler path (but not an Euler circuit) O C. The graph has neither an Euler path nor an Euler circuit b. If the graph has an Euler path or an Euler circuit, which of the choices below correctly describes that path or circuit starting at B? OA. B, A, D, A, C, B, A, D OC. B, C, D, A, C, A, B, D, B O D. The graph has neither an Euler path nor an Euler circuit

Explanation / Answer

Note that the graph has Euler Circuit If and only If all the vertices have EVEN degree.

And The graph has Euler path If It has the Euler circuit or If It has exactly two vertices of ODD degree.

Here in the given graph , There are 4 vertices each having the degree 3 (ODD).

So, The graph has neither an Euler path nor an Euler circuit.

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