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AIP Publishing
Collective dynamics of phase-repulsive oscillators solves graph coloring problem
We show how to couple phase-oscillators on a graph so that collective dynamics “searches” for the coloring of that graph as it relaxes toward the dynamical equilibrium. This translates a combinatorial optimization problem (graph coloring) into a functional optimization problem (finding and evaluating the global minimum of dynamical non-equilibrium potential, done by the natural system’s evolution). Using a sample of graphs, we show that our method can serve as a viable alternative to the traditional...
Download 2020 Janez Povh , Aladin Crnkić , Zoran Levnajić , Vladimir Jaćimović
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