Wolfgang W. Bein, Mordecai J. Golin, Lawrence L. Larmore, Yan Zhang. The Knuth-Yao quadrangle-inequality speedup is a consequence of total-monotonicity. In Proceedings of the Seventeenth Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2006, Miami, Florida, USA, January 22-26, 2006. pages 31-40, ACM Press, 2006. [doi]
Abstract is missing.