Abstract Given a directed graph G and an edge weight function w : A(G) M R^+ the maximum directed cut problem (MAX DICUT) is that of finding a directed cut '(S) with maximum total weight. We consider a version of ...Abstract Given a directed graph G and an edge weight function w : A(G) M R^+ the maximum directed cut problem (MAX DICUT) is that of finding a directed cut '(S) with maximum total weight. We consider a version of MAX DICUT -- MAX DICUT with given sizes of parts or MAX DICUT WITH GSP -- whose instance is that of MAX DICUT plus a positive integer k, and it is required to find a directed cut '(S) having maximum weight over all cuts '(S) with |S|=k. We present an approximation algorithm for this problem which is based on semidefinite programming (SDP) relaxation. The algorithm achieves the presently best performance guarantee for a range of k.展开更多
基金Supported by K. C. Wong Education Foundation of Hong Kong,Chinese NSF (Grant No.19731001)National 973 Information Technology and High-Performance Software Program of China (Grant No.G1998030401)
文摘Abstract Given a directed graph G and an edge weight function w : A(G) M R^+ the maximum directed cut problem (MAX DICUT) is that of finding a directed cut '(S) with maximum total weight. We consider a version of MAX DICUT -- MAX DICUT with given sizes of parts or MAX DICUT WITH GSP -- whose instance is that of MAX DICUT plus a positive integer k, and it is required to find a directed cut '(S) having maximum weight over all cuts '(S) with |S|=k. We present an approximation algorithm for this problem which is based on semidefinite programming (SDP) relaxation. The algorithm achieves the presently best performance guarantee for a range of k.
