BIB-VERSION:: CS-TR-v2.0 ID:: STAN//CS-TR-75-518 ENTRY:: August 23, 1995 ORGANIZATION:: Stanford University, Department of Computer Science TITLE:: Aggregation of inequalities in integer programming. TYPE:: Technical Report AUTHOR:: Chvatal, Vaclav AUTHOR:: Hammer, Peter L. DATE:: August 1975 PAGES:: 28 ABSTRACT:: Given an m $\times$ n zero-one matrix $\underset\tilde\to A$ we ask whether there is a single linear inequality $\underset\tilde\to a \underset\tilde\to x \leq b$ whose zero-one solutions are precisely the zero-one solutions of $\underset\tilde\to A \underset\tilde\to x \leq e$. We develop an algorithm for answering this question in O(m$n^2$) steps and investigate other related problems. Our results may be interpreted in terms of graph theory and threshold logic. NOTES:: [Adminitrivia V1/Prg/19950823] END:: STAN//CS-TR-75-518