We investigate the following question: if a polynomial can be evaluated at rational points by a polynomial-time boolean algorithm, does it have a polynomial-size arithmetic circuit...
We describe a generator for hierarchical problems called the Hierarchical Problem Generator (HPG). Hierarchical problems are of interest since they constitute a class of problems ...
Edwin D. de Jong, Richard A. Watson, Dirk Thierens
We investigate the s-t-connectivity problem for directed planar graphs, which is hard for L and is contained in NL but is not known to be complete. We show that this problem is log...
Abstract— A broad class of problems in circuits, electromagnetics, and optics can be expressed as finding some parameters of a linear system with a specific type. This paper is...
Javad Lavaei, Aydin Babakhani, Ali Hajimiri, John ...
We investigate a variant of the Fixed Charge Shortest Paths problem which enumerates the sequence of optimal solutions that arise as the focus shifts from the fixed cost parameter...