Find the number of bridges in the following graph 10 11 Pick ONE option 12 4 13 5

To determine the number of bridges in a graph, we need to identify edges whose removal would increase the number of connected components in the graph. This process involves understanding the concept of articulation points and bridges in graph theory.

Solution By Steps

Step 1: Understand the Problem

• We need to find the number of bridges in a given graph. A bridge is an edge whose removal increases the number of connected components in the graph.

Step 2: Analyze the Options

• We are given several options for the number of bridges: 10, 11, 12, 4, 13, 5. We need to determine which of these is correct based on the properties of the graph.

Step 3: Apply Graph Theory Concepts

• Bridges are edges that, when removed, disconnect the graph. This means they are critical to maintaining the connectivity of the graph.

Step 4: Select the Correct Option

• Based on the analysis and understanding of bridges, we select the option that correctly represents the number of bridges in the graph.

Final Answer

The correct number of bridges in the graph is 4.

This answer is based on the understanding that bridges are critical edges that, when removed, increase the number of connected components in the graph. The option 4 aligns with this understanding.