For the graph below, find an Euler circuit in the graph or explain why the graph does not have an Euler circuit.

For which values of n does the graph Wn have an Euler circuit?

For the following graph, explain, giving reason for your answer, why an Euler circuit exists. Indicate the circuit. a 8 e h j

By duplicating only 2 edges, Eulerize the following graph:

For each graph below, find an Euler circuit in the graph or explain why the graph does not have an Euler circuit.   Figure 10: An undirected graph has 7 vertices, a through g. 5 vertices are in the form of a regular pentagon, rotated 90 degrees clockwise. Hence, the top vertex becomes the rightmost vertex. From the bottom left vertex, moving clockwise, the vertices in the pentagon shape are labeled: a, b, c, e, and f. Vertex d is above vertex e, below and to the right of vertex c. Vertex g is below vertex e, above and to the right of vertex f. Undirected edges, line segments, are between the following vertices: a and b; a and c; a and d; a and f; b and f; b and c; b and e; c and d; c and g; d and e; d and f; and f and g.

Suppose that a town has 7 bridges as pictured below. Create a graph and use it to determine if there is a path that crosses all bridges at once.

Pls this is one question. Pls answer all parts. Pls pls

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.…