The MPA graph problem
Fabrizio Luccio · 2018
Given an undirected graph G whose vertices are associated to different subsets of colors, the MPA problem asks for partitioning G into a minimal set of monochromatic connected subgraphs. We prove that MPA is NP-hard as well as its extensions BDMPA where the vertices of G have a bounded maximum degree, PMPA where G is planar, BDPMPA where the maximum vertex degree is bounded and G is planar, and GMPA where G consists of a p × q grid.