\input zb-basic \input zb-ioport \iteman{io-port 01002567} \itemau{Frieze, A.; Jerrum, M.} \itemti{Improved approximation algorithms for MAX $k$-cut and MAX BISECTION.} \itemso{Algorithmica 18, No. 1, 67-81 (1997).} \itemab Summary: Polynomial-time approximation algorithms with nontrivial performance guarantees are presented for the problems of (a) partitioning the vertices of a weighted graph into $k$ blocks so as to maximize the weight of crossing edges, and (b) partitioning the vertices of a weighted graph into two blocks of equal cardinality, again so as to maximize the weight of crossing edges. The approach, pioneered by Goemans and Williamson, is via a semidefinite programming relaxation. \itemrv{~} \itemcc{} \itemut{graph connectivity; randomized algorithms; semidefinite programming} \itemli{doi:10.1007/BF02523688} \end