Seriation is a problem consisting of seeking the best enumeration order set units whose interrelationship described by bipartite graph. An algorithm for spectral seriation based on use Fiedler vector Laplacian matrix associated to was developed Atkins et al. under assumption that value simple. In this paper, we analyze case in which not simple, discuss its effect admissible solutions, and study...

In this paper we deal with a particular class of rank two vector bundles (\emph{instanton} bundles) on the Fano threefold index one $F:=\mathbb{F}_1 \times \mathbb{P}^1$. We show that every instanton bundle $F$ can be described as cohomology monad whose terms are free sheaves. Furthermore prove existence for any admissible second Chern and construct nice component moduli space where they sit. F...

A weakly admissible mesh (WAM) on a continuum real-valued domain is sequence of discrete grids such that the maximum norm polynomials grid comparable to supremum domain. The asymptotic rate growth sizes and comparability constants must grow in controlled manner. In this paper, we recognize notion WAM can be generalized hierarchical subspaces not necessarily polynomial functions, analyze particu...