How do I simulate a delivery map?

Open this page and use the live Spanning Tree tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.

Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.

Can I use my own numbers?

Absolutely — every input is adjustable, and with data import you can drive a delivery map from your own measurements.

Use case · powered by Spanning Tree

Spanning Tree for a delivery map

Simulate a delivery map live in your browser. This runs the real Spanning Tree solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

For:Students Researchers Educators Engineers Hobbyists & Makers K-12 Students First Responders

Minimum Spanning TreeLive

Kruskal's algorithm

Controls

Presets

Nodes

A minimum spanning tree connects every node with the least possible total edge weight and no cycles. Kruskal's algorithm sorts all edges and adds the cheapest that does not form a cycle, using a union-find structure to detect them. It designs efficient road, power, and network layouts that reach everywhere for the lowest cost.

▶ Run in Python

Data Inspector

Nodes9

Tree edges8

Total weight0

Governing equation

W (T) = e \in T \sum w (e) = 0 (∣ T ∣ = 8 edges)

Reading this result: A spanning tree over these 9 nodes always uses exactly 8 edges with no cycles — Kruskal keeps adding the cheapest edge that joins two separate groups until every node is connected.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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About this simulation

The full Spanning Tree tool models a delivery map with the same numerics engineers and scientists use — running entirely client-side. Change any parameter and the result updates in real time, so you can build intuition, check a design, or teach the concept without spreadsheets or installs.

More you can do with Spanning Tree

Spanning Tree for a road network Spanning Tree for a social graph Spanning Tree for a subway map Spanning Tree for a supply network Spanning Tree for a flight network Spanning Tree for a power grid Spanning Tree for a computer network Spanning Tree for a citation graph

Other ways to simulate a delivery map

Shortest Path for a delivery map Graph Coloring for a delivery map Small-World Network for a delivery map PageRank for a delivery map Bipartite Matching for a delivery map Network Centrality for a delivery map

Frequently asked questions

How do I simulate a delivery map?: Open this page and use the live Spanning Tree tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.
Is it free?: Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.
Can I use my own numbers?: Absolutely — every input is adjustable, and with data import you can drive a delivery map from your own measurements.