Multigraph realizations of degree sequences: Maximization is easy, minimization is hard

Multigraph realizations of degree sequences: Maximization is easy, minimization is hard

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Article ID: iaor20102879
Volume: 36
Issue: 5
Start Page Number: 594
End Page Number: 596
Publication Date: Sep 2008
Journal: Operations Research Letters
Authors: , ,
Abstract:

The following minimization problem is shown to be NP-hard: Given a graphic degree sequence, find a realization of this degree sequence as loopless multigraph that minimizes the number of edges in the underlying support graph. The corresponding maximization problem is known to be solvable in polynomial time.

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