8. 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. a d

3) Determine whether the sequence of vertices is a path only, a circuit, or neither in the given graph. Circle the options listed in the part related to the given sequence. A B D E H a) BHFG b) BF G→C ⇒F→B c) GFH →B⇒F⇒C⇒G C PATH ONLY PATH ONLY PATH ONLY CIRCUIT CIRCUIT CIRCUIT NEITHER NEITHER NEITHER

Determine an Euler circuit that begins with an vertex C in this Graph. 

Is it possible for a graph to have both a Euler path and Euler circuit? Explain your answer.

71. Answer the following questions for graph G below, which was created to represent the roads of a shopping mall. C B A (a) Determine the number of vertices and edges of the graph. (b) Determine the valences of the vertices A, F, and D. (c) If the graph has an Euler circuit, write it down starting with vertex E.

13. A mail person decides to park their vehicle and walk through one of the neighborhoods they deliver mail. They want to return to their vehicle without crossing any path twice. Can they get back to their vehicle using the graph K, below? Find the degrees of the vertices, then find an Euler circuit if one exists. h K9 Fill in the degree of each vertex based on the graph. Vertex Degree a b d e f g y Euler circuit:

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