Optimization over degree sequences is polynomial-time solvable when all vertex cost functions are convex on any graph, and in several unbalanced or monotone structured cases, while remaining NP-hard in general.
Combinatorics, Probability and Computing 22:366–383 (2013)
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Optimization over Degree Sequences of Graphs
Optimization over degree sequences is polynomial-time solvable when all vertex cost functions are convex on any graph, and in several unbalanced or monotone structured cases, while remaining NP-hard in general.