Matrix Problems? Think Graph!!
Ever looked at a grid or matrix and thought, “This feels like a graph problem”? You’re not wrong! Grids are just graphs in disguise—each cell is a node, and movements (like up, down, left, right) are the edges connecting them.
Even fancier moves, like diagonal traversal, or weighted cells (think terrain costs in games) are just edge weights in graph terms. Once you see grids this way, problems like finding the shortest path or counting connected regions become way easier to tackle!
Examples:
  • Shortest path in a binary maze (BFS)
  • Counting islands (DFS)
  • Rotting oranges problem
Pro Tip: If the problem involves "movement directions" (up/down/left/right) or "connected cells", it’s likely a graph in disguise!
Let’s Discuss:
  • What matrix problem shocked you as a graph problem?
  • BFS or DFS—which do you default to for grids?
  • Share a matrix puzzle that graphs simplified!
Quick poll: Are you team BFS or team DFS for grids? Let’s hear it! 👇
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Aveek Goyal
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Matrix Problems? Think Graph!!
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