Chromatic Sum admits full complexity classifications on HH-minor-free, HH-topological-minor-free, and H-free graphs via known frameworks plus new NP-completeness reductions from planar subcubic graphs.
The Optimum Cost Chromatic Partition problem
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Determining the Complexity of Chromatic Sum in Classes Defined by a Set of Forbidden Graphs
Chromatic Sum admits full complexity classifications on HH-minor-free, HH-topological-minor-free, and H-free graphs via known frameworks plus new NP-completeness reductions from planar subcubic graphs.