Types of Graphs
- Directed vs. Undirected Graphs:
- Directed Graph: Edges have a direction (e.g., A→B).
- Undirected Graph: Edges do not have direction (e.g., A−B).
2. Weighted vs. Unweighted Graphs:
- Weighted Graph: Edges have weights or costs.
- Unweighted Graph: Edges have no weights; only connectivity matters.
3. Cyclic vs. Acyclic Graphs:
- Cyclic Graph: Contains at least one cycle (a path that starts and ends at the same vertex).
- Acyclic Graph: Does not contain any cycles.
4. Sparse vs. Dense Graphs:
- Sparse Graph: Number of edges is much smaller than the maximum possible edges.
- Dense Graph: Number of edges is close to the maximum possible edges.
5. Special Graphs:
- Tree: An acyclic connected graph.
- DAG (Directed Acyclic Graph): A directed graph with no cycles.
- Bipartite Graph: Vertices can be divided into two disjoint sets such that no two vertices within the same set are adjacent. In simpler terms, vertices within the same set are not connected by any edges.
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