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For K-12 Students · Graph Coloring

Graph Coloring for a computer 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 computer network live below — adjust the inputs and watch it respond, right in your browser.

Graph ColoringLive

the chromatic number

Controls

Presets

Nodes

Graph coloring assigns colors to nodes so that no edge connects two of the same color, using as few colors as possible. The greedy algorithm colors nodes in order, picking the lowest color not used by a neighbor. It models scheduling exams, assigning radio frequencies, and register allocation in compilers — all cases where conflicting items must be separated.

▶ Run in Python

Data Inspector

Nodes10

Colors used0

Methodgreedy

Governing equation

c (u) \neq = c (v) \forall (u, v) \in E, χ (G) \leq 0

Reading this result: Two colors suffice here, which means the graph has no odd cycle — it is bipartite, the easiest case to schedule with zero conflicts.

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Frequently asked questions

Is this good for k-12 students?: Yes — this version of "Graph Coloring for a computer 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.