The energy-aware design for electronic systems has been an important issue in hardware and/or software implementations, especially for embedded systems. This paper targets a synth...
We present a new type of monotone submodular functions: multi-peak submodular functions. Roughly speaking, given a family of sets F, we construct a monotone submodular function f ...
Assuming 3-SAT formulas are hard to refute with high probability, Feige showed approximation hardness results, among others for the max bipartite clique. We extend this result in t...
We consider the classical vertex cover and set cover problems with the addition of hard capacity constraints. This means that a set (vertex) can only cover a limited number of its...
—In 1997, H˚astad showed NP-hardness of (1 − , 1/q + δ)-approximating Max-3Lin(Zq); however it was not until 2007 that Guruswami and Raghavendra were able to show NP-hardness...