Computing a maximum cardinality matching in a bipartite graph in time On1.5m/logn
Information Processing Letters
P-Complete Approximation Problems
Journal of the ACM (JACM)
Wireless integrated network sensors
Communications of the ACM
Best reduction of the quadratic semi-assignment problem
Discrete Applied Mathematics
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Selected topics on assignment problems
Discrete Applied Mathematics
A New Genetic Algorithm for the Quadratic Assignment Problem
INFORMS Journal on Computing
Solving the quadratic assignment problem with clues from nature
IEEE Transactions on Neural Networks
Using simulation in hospital layout planning
Proceedings of the Winter Simulation Conference
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Variants of QAP have become the hot lines in research on NP-Hard combinatorial optimization problems. There exists a new kind of problem which can't be modeled as QAP or its existing variants, in applications such as hospital layout whose facility must be assigned to one location in some predefined subset. This new problem is modeled as the subset QAP (SQAP) in this paper. We show that SQAP is NP-Hard and no ε --- approximation algorithm exists for it (ε0). Furthermore, we prove that it can be determined in polynomial time whether a feasible solution exists or not, by proving its equivalence to perfect matching problem on bipartite graph.