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DEGENERATE OPTIMAL BASIS GRAPHS IN LINEAR PROGRAMMING
Authors:Lin Yixun Wen JianjunDept.of Math.  Zhengzhou Univ.  Zhengzhou .
Affiliation:Lin Yixun Wen JianjunDept.of Math.,Zhengzhou Univ.,Zhengzhou450 0 52 .
Abstract:The basis graph %G% for a linear programming consists of all bases under pivot transformations. A degenerate optimal basis graph G * is a subgraph of %G% induced by all optimal bases at a degenerate optimal vertex x 0. In this paper, several conditions for the characterization of G * are presented.
Keywords:Linear programming   degeneracy   transformation graphs.
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