For a good example, there's a tricky parallelization problem in physical simulation, which you have update edge/triangle/bending wing forces in a mesh structure

For a good example, there's a tricky parallelization problem in physical simulation, which you have update edge/triangle/bending wing forces in a mesh structure without any race conditions. (This becomes especially thorny if you want to parallelize your algorithm to the GPU.) A surprising solution for this is graph coloring, where you "color" each element without having two elements that interfere with each other the same color. Then you can safely parellelize the updates of all elements inside each color group, since the same color guarantees absolutely no interference.