The Wiener maximum quadratic assignment problem

E. Çela, N.S. Schmuck, S. Wimer, G.J. Woeginger

Research output: Book/ReportReportAcademic

33 Citations (Scopus)


We investigate a special case of the maximum quadratic assignment problem where one matrix is a product matrix and the other matrix is the distance matrix of a one-dimensional point set. We show that this special case, which we call the Wiener maximum quadratic assignment problem, is NP-hard in the ordinary sense and solvable in pseudo-polynomial time. Our approach also yields a polynomial time solution for the following problem from chemical graph theory: Find a tree that maximizes the Wiener index among all trees with a prescribed degree sequence. This settles an open problem from the literature.
Original languageEnglish
Number of pages11
Publication statusPublished - 2011

Publication series [math.OC]


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