Title: Eigenvalue, Quadratic Programming, and Semidefinite Programming Relaxations for a Cut Minimization Problem

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ABSTRACT: We consider the problem of partitioning the nodes of a graph into k sets of given sizes in order to minimize the cut obtained by removing the k-th set. This problem is closely related to the graph partitioning problem. In this talk, we look at lower and upper bounds obtained from two convex relaxation techniques: the quadratic programming bounds based on recent successful bounds for the quadratic assignment problems, and semidefinite programming bounds obtained via lifting.

speaker: Henry Wolkowicz

Work with: Ting Kei Pong, Hao Sun, Ningchuan Wang