A method for node cluster assignment in a graph includes identifying neighboring nodes of a first node in the graph, calculating one or more elements of a graph Laplacian of the graph, the one or more elements of the graph Laplacian corresponding to the first node and the neighboring nodes, initializing a first wavefunction associated with the first node with an initial value, evolving the first wavefunction associated with the first node over time based on the initial value, the one or more elements of the graph Laplacian, and previous states of wavefunctions of the neighboring nodes to generate a time-evolved wavefunction vector, and identifying a cluster assignment of the first node based on the time-evolved wavefunction vector.