All Questions

We do not know if $P=NP$ or not or if there is a superfast integer mutiplication algorithm. But I do not think either assumption is necessary to answer this question. Is there a way to show within an ...

I was wondering if the following nonlinear integer programming problem is NP-hard or not. $$\max_{x_i \in \{0,1\}} \frac{\sum_{i=1}^{n}a_i x_i}{\sqrt{\sum_{i=1}^{n}b_i x_i}}$$ such that $\sum_{i=1}^{n}...

I have the following problem: $A x = b$ where $A, b$ - $m \times n$-matrix and $m$-vector of nonnegative integers (respectively). $x \in \{0,1\}^n $ - vector of binary variables, which need to be ...