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Dijkstra shortest path calculator

Enter a weighted graph as edges ("A, B, 4" per line) and a source node: Dijkstra's algorithm returns the shortest distance and the exact path from the source to every reachable vertex. Works for directed or undirected graphs, accepts many edge formats, and flags unreachable vertices — ideal for routing, networks and pathfinding.

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Dijkstra shortest path calculator is free to use as often as you like, directly from this page. It covers "A, B, 4" per line — adjust any of them and the result follows immediately.

How to use it

  1. Open the tool — no signup or install needed.
  2. Enter your input or adjust the available options.
  3. Get your result instantly, then copy or download it.

Frequently asked questions

What is Dijkstra shortest path calculator?

Enter a weighted graph as edges ("A, B, 4" per line) and a source node: Dijkstra's algorithm returns the shortest distance and the exact path from the source to every reachable vertex. Works for directed or undirected graphs, accepts many edge formats, and flags unreachable vertices — ideal for routing, networks and pathfinding.

What does a concrete case look like?

A→B 4, B→C 3, A→C 9 → A→C = 7 via B — the tool shows every step in between, not just the final figure.

What does it take into account?

It factors in "A, B, 4" per line. Change any of them and the output follows immediately.

When would I actually use this?

Anything modelled as points and connections: a shortest route, a network's capacity, a schedule with dependencies, or a circuit reduced to its logic.

What is the most common mistake?

Assuming a shortest path stays shortest when a weight changes sign. Negative edges break the greedy argument Dijkstra rests on, and the algorithm returns a confident wrong answer rather than an error.

How is Dijkstra shortest path calculator different from Hamiltonian path & cycle checker?

They sit next to each other but answer different questions: Hamiltonian path & cycle checker is the one to open when you need it to check whether a graph has a Hamiltonian path (visits every vertex once) or a Hamiltonian cycle (also returns to the start). Enter an edge list, pick directed or undirected, and an exhaustive backtracking search either returns a concrete path and cycle or proves that none exists. Capped at 12 vertices for speed. Pick whichever matches what you're starting from — both are free.

Where do the figures come from?

The algorithms are the textbook ones and their results are exact for the graph you enter. What varies is cost: several of these problems have no known efficient solution, so large inputs are answered by heuristic and the tool says when that is the case.

Further reading

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GuideLife Path: Two Methods, and One Date in Seven DisagreesAdd the digits of the whole date, or reduce day, month and year first and then add: two textbook methods for the same life path. Over the 46,021 dates from 1900 to 2025 they give different answers 6,398 times — 13.90 %. Every single disagreement is about a master number.How-toHow to Calculate Your Life Path Number (Step by Step)The life path number reduces your full birth date to a single digit. Here is the exact method, the two rules people get wrong, and what the tradition says each number means.ExplainerThe Flat Pattern of a Cone Is a Sector, Not a CircleRoll a 50 mm cone 80 mm tall and its pattern is a 190.8° slice of a 94 mm circle. Flatten a nearly cylindrical lampshade and the pattern radius runs to 839 mm — the shallower the taper, the further away the apex.ExplainerA 1 % Drop Rate Does Not Mean One Hundred RunsAt 1 %, a hundred attempts give you 63.4 % — not certainty. Ninety per cent takes 230 attempts and ninety-nine takes 459, and more than a third of players are still empty-handed at a hundred.ExplainerFibonacci and the Golden RatioThe Fibonacci sequence adds each pair of terms to make the next; the ratio of neighboring terms homes in on the golden ratio φ ≈ 1.618. See how, and where the pattern turns up.ExplainerWhat Is a Z-Score? Standard Deviations Above the MeanA z-score is z = (x − μ) / σ — how many standard deviations a value sits from the mean. Learn how to compute it, read the standard normal curve, and turn it into a percentile.