期刊名称:Department of Computer and System Sciences Antonio Ruberti Technical Reports
印刷版ISSN:2035-5750
出版年度:2010
卷号:2
期号:12
页码:16
语种:English
出版社:Department of Computer and System Sciences Antonio Ruberti. Sapienza, Università di Roma
摘要:A standard quadratic optimization problem (StQP) consists of nding the largest or smallest value of a (possibly indenite) quadratic form over the standard simplex which is the intersection of a hyperplane with the positive orthant. This NP-hard problem has several immediate real-world applications like the Maximum-Clique Problem, and it also occurs in a natural way as a subproblem in quadratic programming with linear constraints. We propose unconstrained reformulations of StQPs, by using dierent approaches. We test our method on clique problems from the DIMACS challenge.