For K-12 Students · Spanning Tree
Spanning Tree for a project network
Built for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework. Simulate a project network live below — adjust the inputs and watch it respond, right in your browser.
Minimum Spanning TreeLive
Kruskal's algorithm
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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.
Data Inspector
Nodes9
Tree edges8
Total weight0
Governing equation
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.
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Frequently asked questions
- Is this good for k-12 students?
- Yes — this version of "Spanning Tree for a project network" is framed for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework.
- Do I need to install anything?
- No. It runs in any modern browser, free, with no account required.