Depth-first search, often shortened to DFS, is an algorithm for exploring a connected structure such as a tree or network. It picks one path and follows it as far as it can go, and only when it hits a dead end does it back up and try the next branch.
The clearest analogy is exploring a maze with one hand on the wall. You walk forward down a corridor until it stops, then retrace your steps to the last junction and take a different turn. You commit fully to one route before considering another. That is exactly how DFS moves through a binary tree or a graph: deep first, wide later. Its sibling, breadth-first search, does the opposite by checking everything one level out before going deeper.
DFS shows up in plenty of real software. It can solve puzzles, work out the right order to install software packages that depend on each other, and detect loops in a network of connections. Because it dives deep, it uses little memory but is not ideal when you need the shortest route.
One practical catch is that a path can run forever. In a graph with cycles, DFS will loop back on itself unless it keeps a set of already-visited nodes, so marking what you have seen is part of getting it right. It is also commonly written two ways: with recursion, which is short but can overflow the call stack on a very deep structure, or with an explicit stack, which avoids that risk at the cost of a few more lines.
At TopDevs we choose the right traversal for the job when building features like routing, recommendations or dependency checks, so the code stays both fast and easy to reason about.