How to Use
- Add Node: Enter a label and click "Add Node"
- Add Edge: Enter source and destination, click "Add Edge"
- Random Sparse Graph: Click to instantly generate a sparse graph
- Remove Node/Edge: Enter node or edge and click remove
- Edge Count: Click to count the number of edges
- Reset: Click to clear the graph
Sparse Graph Concept
Sparse Graph is a graph in which the number of edges is much less than the maximum possible number of edges. Typically, a sparse graph has O(V) or O(V log V) edges, where V is the number of nodes.
Key Characteristics:
- Few edges relative to the number of nodes
- Efficient for storage and traversal
- Common in real-world networks
Sparse Graph Setup
Sparse Graph Operations
Graph Visualization
Operation Steps
Purpose & Applications
- Social networks
- Web graphs
- Communication networks
- Efficient storage of large graphs
Time & Space Complexity
| Operation | Time Complexity | Space Complexity |
|---|---|---|
| Add Node | O(1) | O(V+E) |
| Add Edge | O(1) | O(1) |
| Remove Node | O(E) | O(V+E) |
| Remove Edge | O(E) | O(1) |
| Edge Count | O(1) | O(1) |
Strengths & Limitations
Strengths:
- Efficient for large graphs
- Low memory usage
Limitations:
- Not suitable for dense graphs
- May require special algorithms