Discrete & Computational Geometry
Combinatorial search
New Lower Bound for Polyhedral Membership Problem with an Application to Linear Programming
Proceedings of the Mathematical Foundations of Computer Science 1984
On the complexity of comparison problems using linear functions
SFCS '75 Proceedings of the 16th Annual Symposium on Foundations of Computer Science
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In our thesis we cosidered the complexity of the monotonicity checking problem: given a finite poset and an unknown real-valued function on it find out whether this function is monotone. Two decision models were considered: the comparison model, where the queries are usual comparisons, and the linear model, where the queries are comparisons of linear combinations of the input. This is a report on our results.