Graph TraversalDepth-first and breadth-first — the two ways to walk anything connected.ComputingDepth-first (DFS)Uses a stack, or recursionGoes deep before wideCycle detection, topological sortLower memory on wide graphsDoes NOT find shortest pathsBreadth-first (BFS)Uses a queueExplores level by levelShortest path in an unweightedgraphHigher memory — holds a wholelevelFinds the nearest match firstTHE DIFFERENCE THAT MATTERSBoth are O(V + E). The difference is the order of visiting, and that iswhat decides which problems they solve.Mark nodes as visited in both. Without that, any cycle turns the traversalinto an infinite loop.Graph Traversallearnposters.com
Graph Traversal — printable computing wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the Graph Traversal poster

Depth-first (DFS) against Breadth-first (BFS), side by side.

Mark nodes as visited in both. Without that, any cycle turns the traversal into an infinite loop.

Questions about the Graph Traversal poster

What’s on the Graph Traversal poster?
Depth-first (DFS) against Breadth-first (BFS), side by side. Depth-first (DFS): Uses a stack, or recursion; Depth-first (DFS): Goes deep before wide; Depth-first (DFS): Cycle detection, topological sort; Depth-first (DFS): Lower memory on wide graphs; Depth-first (DFS): Does NOT find shortest paths; Breadth-first (BFS): Uses a queue; Breadth-first (BFS): Explores level by level; Breadth-first (BFS): Shortest path in an unweighted graph; Breadth-first (BFS): Higher memory — holds a whole level; Breadth-first (BFS): Finds the nearest match first; Both are O(V + E). The difference is the order of visiting, and that is what decides…. Mark nodes as visited in both. Without that, any cycle turns the traversal into an infinite loop.
Who is the Graph Traversal poster for?
Graph Traversal belongs to the Computing section rather than to a school year, because computing is not something one grade owns. Anyone learning foundations can pin it up — a beginner, a student mid-course, or someone revising years later.
When should you use the Graph Traversal poster?
BFS finds the shortest path in an unweighted graph. DFS does not. A wall chart earns its place by being glanceable from where the work is happening, so Graph Traversal belongs on the wall where that computing work actually happens, within glancing distance, rather than filed away.
What other posters go with Graph Traversal?
Big-O Complexity, Binary, Hex & Decimal and Bits, Bytes & Sizes sit alongside Graph Traversal in the Computing section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Big-O ComplexityBinary, Hex & DecimalBits, Bytes & Sizes
Is the Graph Traversal poster free to download and print?
Yes. Graph Traversal downloads as a free PDF with no account, no email and no watermark, like everything else in the Computing section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
What size does the Graph Traversal poster print at?
Graph Traversal is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Graph Traversal loses nothing.Printing guide

Related posters

Charts that sit alongside Graph Traversal on the same wall.

Browse every Computing poster, or start from the full catalogue.