Exam 13: Graph Theory

Decide whether the connected graph has an Euler path, an Euler circuit, an Euler circuit butnot an Euler path, or neither an Euler circuit nor an Euler path. The graph has 2 odd vertices and 3 even vertices.

Use the cheapest link algorithm to approximate the optimal solution.

Determine whether or not the graph is a tree. If it is not, explain why.

Draw a graph that represents the floor plan. Use vertices to represent the rooms and outside area and edges to Represent the connecting doors.

Use Kruskal's algorithm to find a minimum spanning tree for the graph below. Give the total weight For the graph.

Based on the information in the table, use the nearest neighbor method to find an approximation to the shortest Route from Angleton to all the other cities and back to Angleton.

Draw a graph that represents the floor plan. Use vertices to represent the rooms and outside area And edges to represent the connecting doors. Determine if the graph has an Euler path, and Euler Circuit, or neither. If the graph has an Euler path or an Euler circuit, find one.

Determine whether or not the graph is a tree. If it is not, explain why.

Decide whether the connected graph has an Euler path, an Euler circuit, an Euler circuit butnot an Euler path, or neither an Euler circuit nor an Euler path. The graph has 4 odd vertices and 2 even vertices.

A pizza delivery person has five prearranged deliveries. The driving times in seconds between those locations And the pizza place are shown in the table below. Draw a complete weighted graph for the information in the Table.

Find the number of Hamilton circuits if a complete graph has seven vertices.

Represent the figure using a graph. Use vertices for islands and edges for bridges.

Use the nearest neighbor method to approximate the optimal solution. Start at vertex A.