Determine whether the given graph has an Euler circuit. Construct such a circuit when one exists. If no Euler circuit exists, determine whether the graph has an Euler path and construct such a path if one exists. Write the reason your answer is correct. Euler Circuit: Yes No Euler Path: Yes No a Reason: Reason: Euler Path/Circuit: b d

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In your own words, explain  what is required for a trail or circuit to be a Euler trail or circuit. Does a Euler trail exist for their graph? Explain specifically using the label and degree of each vertex. Does a Euler circuit exist for their graph? Explain specifically using the label and degree of each vertex.   There are 6 people that discussing their favorite foods. Each person will be represented with a letter. A, B, C, D, E, F. Person A, B, and C really like Ice cream. Person D really likes cookies. Person A and C agree that cookies are good. Person D, C, and E like soup quite a bit, and person C, B, and E really like salad. Person B, E, and F all agree that cake is good too. So, person A really likes ice cream and cookies. Person B really likes ice cream, salad, and cake. Person C really likes ice cream, cookies, soup, and salad. Person D really likes cookies and soup. Person E really likes salad and cake. Person F only likes cake. The below graph represents this relationship.…

The graph shown has at least one Euler circuit. Determine an Euler circuit that begins and ends with vertex C. Complete the path so that it is an Euler circuit. C, A, B, E, D, A, 0 ... (.... D B E