An unconditional exact test is a classic method to the significant difference between two independent binomial proportions or multinomial distributions. The p-value based on computed by maximizing probability of tail region. grid search and polynomial are able find maximum with sophisticated enough partition parameter space, while they require rather long time compute those methods computationa...

Given a graph G and a positive integer k, we want to nd k spanning trees on G, not necessarily disjoint, of minimum total weight, such that the weight of each edge is subject to a penalty function if it belongs to more than one tree. We present a polynomial time algorithm for this problem; the algorithm's complexity is quadratic in k. We also present two heuristics with complexity linear in k. ...

We report implementation of the electron localization function (ELF) within exact muffin-tin orbitals (EMTO) formalism. The ELF is often used to study nature electronic bonding in different types materials, and it also an important ingredient meta-generalized gradient approximations, which are one classes exchange-correlation functionals. correctness verified with test calculations comparison p...