โ† All Solvers

๐ŸŽจ Graph Coloring

Band 4 โ€” The Jupiter transformer. Colour a graph with minimum colours โ€” no adjacent vertex shares a colour.

15 35%
Ready

Algorithm: Greedy Sequential Coloring

Order vertices arbitrarily. For each vertex, assign the smallest colour not used by its already-coloured neighbours. Uses at most ฮ”+1 colours (ฮ” = max degree). Finding the minimal number of colours (chromatic number) is NP-hard, but greedy gives a usable bound.

Why This Matters

Graph coloring governs scheduling, frequency allocation, and register allocation. The Jupiter transformer assigns harmonic bands so nothing conflicts โ€” exactly how the 72-band framework avoids frequency collisions.