## What is the implication of a graph?

In mathematical logic, an implication graph is a skew-symmetric directed graph G = (V, E) composed of vertex set V and directed edge set E.

**What are strongly connected components in a graph?**

A directed graph is called strongly connected if there is a path in each direction between each pair of vertices of the graph. That is, a path exists from the first vertex in the pair to the second, and another path exists from the second vertex to the first.

### How do you know if a component is strongly connected?

How to find Strongly Connected Components in a Graph?

- Call DFS(G) to compute finishing times f[u] for each vertex u.
- Compute Transpose(G)
- Call DFS(Transpose(G)), but in the main loop of DFS, consider the vertices in order of decreasing f[u] (as computed in step 1)

**How do you solve strongly connected components?**

Strongly Connected Components

- 1) Create an empty stack ‘S’ and do DFS traversal of a graph. In DFS traversal, after calling recursive DFS for adjacent vertices of a vertex, push the vertex to stack.
- 2) Reverse directions of all arcs to obtain the transpose graph.
- 3) One by one pop a vertex from S while S is not empty.

#### Is Dijkstra’s just BFS?

According to this page, Dijkstra’s algorithm is just BFS with a priority queue.

**Which is better BFS or DFS?**

BFS is better when target is closer to Source. DFS is better when target is far from source. As BFS considers all neighbour so it is not suitable for decision tree used in puzzle games. DFS is more suitable for decision tree.

## How do you find the largest strongly connected component?

Find Largest Strongly Connected Component in Undirected Graph

- Create a graph by having an node for each unique num and adding an edge between nodes where their value differs by 1.
- Find the strongly connected components in the graph.
- Return the length of the largest SCC in the graph.