# graph theory

Module 05 Content1. Looking at the graph above, answer the following:a. Identify the number of odd vertices.b. Identify the number of even vertices.c. Does it have a Euler circuit? Does it have a Euler path? Explain your answers2. Looking at the graph above, answer the following:a. Identify the number of odd vertices.b. Identify the number of even vertices.c. Does it have a Euler circuit? Does it have a Euler path? Explain your answers.3. Find 3 different Hamilton circuits in the graph above4. How many distinct Hamilton circuits does the graph above have? List them using A as the starting vertex.5. How many edges are in K17, the complete graph with 17 vertices?6. Explain why the graph below has no Hamilton circuit but does have a Hamilton pathSubmit your answers to the questions above by downloading and completing the Graph Theory and Travelling Salesman Problem worksheet.