Java. Please follow the picture **Graph Theory Topic: Topological Sort**In the image provided, we are asked to give a topological sort for a directed acyclic graph (DAG). The graph contains the following nodes: A, B, C, D, E, F, and G. The directed edges between these nodes indicate dependencies, where an edge from node U to node V signifies that U must come before V in the topological sort.### Graph Structure- Node A has outgoing edges to nodes B, D, and G.- Node B has an outgoing edge to node E.- Node C has outgoing edges to nodes A and F.- Node D has no outgoing edges.- Node E has no outgoing edges.- Node F has no outgoing edges.- Node G has an outgoing edge to node E.### Description of the Topological Sort ProcessTo find a valid topological ordering of the nodes, follow these steps:1. **Identify all nodes with no incoming edges** (these nodes have no prerequisites). 2. **Choose one of these nodes** and add it to the topological sort order.3. **Remove this node and all its outgoing edges** from the graph.4. If there are still nodes remaining, **repeat the process** with the remaining subgraph.### Example of Topological Sort for Provided GraphUsing the steps above, we can perform a topological sort on the provided graph:1. **Identify nodes with no incoming edges**: C (initially).2. **Select node C**: - Remove edges: C->A, C->F.3. **Remaining nodes with no incoming edges**: A, F.4. **Select node A**: - Remove edges: A->B, A->D, A->G.5. **Remaining nodes with no incoming edges**: F, B, D, G.6. **Select node F** (choice among F, B, D, and G): - No outgoing edges to remove.7. **Remaining nodes with no incoming edges**: B, D, G.8. **Select node B**: - Remove edge: B->E.9. **Remaining nodes with no incoming edges**: D, G, E.10. **Select node D**: - No outgoing edges to remove.11. **Remaining nodes with no incoming edges**: G, E.12. **Select node G**

Required :Java codeCode screenshotsOutput Given graph :What is topological sorting?A topological…

Answered: Give a topological sort for this graph.…

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Give a topological sort for this graph. F B A D E G

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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Concept explainers

Strongly Connected Components

A directed graph in which a path exists between all its pairs of vertices is called a strongly connected graph. A portion of the strongly connected directed graph that contains a path to reach from each vertex to other vertices is called a strongly connected component (SCC).

Question

Java. Please follow the picture

**Graph Theory Topic: Topological Sort**

In the image provided, we are asked to give a topological sort for a directed acyclic graph (DAG). The graph contains the following nodes: A, B, C, D, E, F, and G. The directed edges between these nodes indicate dependencies, where an edge from node U to node V signifies that U must come before V in the topological sort.

### Graph Structure

- Node A has outgoing edges to nodes B, D, and G.
- Node B has an outgoing edge to node E.
- Node C has outgoing edges to nodes A and F.
- Node D has no outgoing edges.
- Node E has no outgoing edges.
- Node F has no outgoing edges.
- Node G has an outgoing edge to node E.

### Description of the Topological Sort Process

To find a valid topological ordering of the nodes, follow these steps:

1. **Identify all nodes with no incoming edges** (these nodes have no prerequisites).

2. **Choose one of these nodes** and add it to the topological sort order.

3. **Remove this node and all its outgoing edges** from the graph.

4. If there are still nodes remaining, **repeat the process** with the remaining subgraph.

### Example of Topological Sort for Provided Graph

Using the steps above, we can perform a topological sort on the provided graph:

1. **Identify nodes with no incoming edges**: C (initially).
2. **Select node C**:
- Remove edges: C->A, C->F.
3. **Remaining nodes with no incoming edges**: A, F.
4. **Select node A**:
- Remove edges: A->B, A->D, A->G.
5. **Remaining nodes with no incoming edges**: F, B, D, G.
6. **Select node F** (choice among F, B, D, and G):
- No outgoing edges to remove.
7. **Remaining nodes with no incoming edges**: B, D, G.
8. **Select node B**:
- Remove edge: B->E.
9. **Remaining nodes with no incoming edges**: D, G, E.
10. **Select node D**:
- No outgoing edges to remove.
11. **Remaining nodes with no incoming edges**: G, E.
12. **Select node G**

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