We study budgeted variants of classical cut; problems: the Multiway Cut problem, the Multicut problem, and the k-Cut problem, and provide approximation algorithms for these problems. Specifically, for the budgeted multiway cut and the k-cut problems we provide constant factor approximation algorithms. We show that the budgeted multicut problem is at least as hard to approximate as the sparsest cut problem, and we provide a bi-criteria approximation algorithm for it.
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Shanghai Jiao Tong Univ, SJTU Paris Elite Inst Technol, Shanghai, Peoples R ChinaShanghai Jiao Tong Univ, SJTU Paris Elite Inst Technol, Shanghai, Peoples R China
Qiu, Siqi
Tu, Danhong
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China Shipbuilding Power Engn Inst Co Ltd, Shanghai, Peoples R ChinaShanghai Jiao Tong Univ, SJTU Paris Elite Inst Technol, Shanghai, Peoples R China
Tu, Danhong
Ming, Xinguo
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Shanghai Jiao Tong Univ, Sch Mech Engn, 800 Dongchuan Rd, Shanghai 200240, Peoples R ChinaShanghai Jiao Tong Univ, SJTU Paris Elite Inst Technol, Shanghai, Peoples R China