Math Problem Statement
Create a digraph for the following set of tasks based on their dependencies and time requirements.
Solution
The image contains a task table, and the goal is to create a digraph for the tasks based on the dependencies listed.
Extracted Information from the Table
- Tasks and Time Required
- A: Time 3
- B: Time 4
- C: Time 7
- D: Time 6 (requires A, B)
- E: Time 5 (requires B)
- F: Time 5 (requires D, E)
- G: Time 4 (requires E)
Steps to Create the Digraph
- Vertices: Represent the tasks (A, B, C, D, E, F, G) as nodes.
- Edges: Create directed edges from prerequisite tasks to the dependent tasks.
- For example, there will be edges from A → D and B → D since D depends on A and B.
Resulting Digraph Representation
Edges based on dependencies:
- A → D
- B → D
- B → E
- D → F
- E → F
- E → G
The resulting digraph will visually illustrate these connections with arrows showing dependencies.
Next Steps
Would you like me to:
- Create a textual representation (adjacency list or matrix)?
- Generate a drawn diagram of the digraph for you?
- Solve any scheduling or path-related question (like critical path analysis)?
Let me know!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Graph Theory
Directed Graphs
Task Dependency Analysis
Formulas
Graph adjacency representation
Theorems
Basic graph theory properties
Suitable Grade Level
Grades 10-12