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Compute the dominator tree for the control flow graph given below

Compute the dominator tree for the control flow graph given below

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Compute the dominator tree for the control flow graph given below:

The image depicts a flowchart or control flow graph with several nodes, labeled from \( B_0 \) to \( B_{11} \), connected by directional arrows indicating the flow of control between the nodes. - **Node \( B_0 \)** points directly down to node \( B_1 \). - **Node \( B_1 \)** branches into two paths: one leading to \( B_2 \) and the other to \( B_8 \). - **Node \( B_2 \)** branches into \( B_3 \) and \( B_7 \). - **Node \( B_3 \)** flows into \( B_4 \), which then leads to \( B_5 \). - **Node \( B_7 \)** also flows into \( B_4 \). - **Node \( B_5 \)** leads directly to \( B_6 \). - **Node \( B_8 \)** branches into \( B_9 \) and \( B_{11} \). - **Node \( B_9 \)** flows into \( B_{10} \), which then connects to \( B_5 \). - **Node \( B_{11}** also flows into \( B_{10} \). - There are looping paths from \( B_5 \) back to \( B_1 \) and from \( B_4 \) back to \( B_2 \). This graph typically represents decision paths in a program, where each node corresponds to a basic block of code, and the arrows represent the possible flow of execution.
Transcribed Image Text:The image depicts a flowchart or control flow graph with several nodes, labeled from \( B_0 \) to \( B_{11} \), connected by directional arrows indicating the flow of control between the nodes. - **Node \( B_0 \)** points directly down to node \( B_1 \). - **Node \( B_1 \)** branches into two paths: one leading to \( B_2 \) and the other to \( B_8 \). - **Node \( B_2 \)** branches into \( B_3 \) and \( B_7 \). - **Node \( B_3 \)** flows into \( B_4 \), which then leads to \( B_5 \). - **Node \( B_7 \)** also flows into \( B_4 \). - **Node \( B_5 \)** leads directly to \( B_6 \). - **Node \( B_8 \)** branches into \( B_9 \) and \( B_{11} \). - **Node \( B_9 \)** flows into \( B_{10} \), which then connects to \( B_5 \). - **Node \( B_{11}** also flows into \( B_{10} \). - There are looping paths from \( B_5 \) back to \( B_1 \) and from \( B_4 \) back to \( B_2 \). This graph typically represents decision paths in a program, where each node corresponds to a basic block of code, and the arrows represent the possible flow of execution.
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