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Compute a dominator tree for the control flow graphs given below

Compute a dominator tree for the control flow graphs 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 a dominator tree for the control flow graphs given below:

The image depicts a flow chart with nodes and directed edges, representing a control flow graph commonly used in computer science and software engineering. ### Description: - **Nodes:** - Each node is labeled with `B` followed by a digit (e.g., `B0`, `B1`, etc.). - **Edges:** - Directed arrows indicate the flow from one node to another, representing the sequence of execution paths. ### Structure: 1. **Start Node:** - `B0`: This is the entry point of the graph. 2. **Flow from `B0`:** - `B0` has outgoing edges to `B1` and `B2`. 3. **Middle Nodes:** - Node `B1` leads to `B2`. - Node `B2` leads to `B3`. - From `B3`, there are divergent paths leading to `B4` and `B9`. 4. **Converging Paths:** - Nodes `B4` and `B9` both lead to `B5`. 5. **Continuation:** - `B5` continues to `B6`. - `B6` has two outgoing edges leading to `B7` and `B8`. 6. **End Nodes:** - `B7` and `B8` are terminal nodes with no outgoing edges. ### Explanation: This control flow graph illustrates potential execution paths within a program. Each node corresponds to a basic block—a straight-line code sequence with no branches except at the entry and exit. The directed edges depict the control transfer from one block to another, highlighting how different execution paths can arise based on conditions within the program. Nodes like `B3` and `B6` demonstrate branching, while `B5` illustrates convergence of paths, a typical scenario in decision-making constructs within programming.
Transcribed Image Text:The image depicts a flow chart with nodes and directed edges, representing a control flow graph commonly used in computer science and software engineering. ### Description: - **Nodes:** - Each node is labeled with `B` followed by a digit (e.g., `B0`, `B1`, etc.). - **Edges:** - Directed arrows indicate the flow from one node to another, representing the sequence of execution paths. ### Structure: 1. **Start Node:** - `B0`: This is the entry point of the graph. 2. **Flow from `B0`:** - `B0` has outgoing edges to `B1` and `B2`. 3. **Middle Nodes:** - Node `B1` leads to `B2`. - Node `B2` leads to `B3`. - From `B3`, there are divergent paths leading to `B4` and `B9`. 4. **Converging Paths:** - Nodes `B4` and `B9` both lead to `B5`. 5. **Continuation:** - `B5` continues to `B6`. - `B6` has two outgoing edges leading to `B7` and `B8`. 6. **End Nodes:** - `B7` and `B8` are terminal nodes with no outgoing edges. ### Explanation: This control flow graph illustrates potential execution paths within a program. Each node corresponds to a basic block—a straight-line code sequence with no branches except at the entry and exit. The directed edges depict the control transfer from one block to another, highlighting how different execution paths can arise based on conditions within the program. Nodes like `B3` and `B6` demonstrate branching, while `B5` illustrates convergence of paths, a typical scenario in decision-making constructs within programming.
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