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DSA · Theory

Islands in a graph using BFS

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Theory

560/810

Islands in a graph using BFS

Islands in a graph using BFS is a DSA topic. In plain words you use it for bus routes in a city map. Don’t start with a slogan — start with that picture.

Smallest example: BFS queue / DFS stack. Type it, run it, and say what you see. If you can do that from memory, you know Islands in a graph using BFS.

From the example next to this theory — Islands in a graph using BFS — bFS explores level by level using a queue.

Trap — no visited set → infinite loop. Fix that before you talk about advanced DSA.

Viva — what is Islands in a graph using BFS? Then show BFS queue / DFS stack. Then name the trap.

Exam tip

What is Islands in a graph using BFS? Show this: BFS queue / DFS stack. Trap: no visited set → infinite loop.

Example

from collections import deque

graph = {1: [2, 3], 2: [4], 3: [], 4: []}

def bfs(start):
    seen, q = {start}, deque([start])
    order = []
    while q:
        u = q.popleft()
        order.append(u)
        for v in graph[u]:
            if v not in seen:
                seen.add(v)
                q.append(v)
    return order

print(bfs(1))

Islands in a graph using BFS — bFS explores level by level using a queue.

Short notes

  • DefIslands in a graph using BFS — bus routes in a city map.
  • RuleBFS queue / DFS stack
  • Trapno visited set → infinite loop
  • Usea city map

Questions

1

What is Islands in a graph using BFS?

2

Give one small example of Islands in a graph using BFS.

3

What mistake do beginners make with Islands in a graph using BFS?

4

Where do you use Islands in a graph using BFS?

560 / 810

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