Topological Dependency Grammar (TDG) is a new lexicalized formalism where word order phenomena arise from the interaction of a non-ordered syntax tree with a projective topological tree, both related by an emancipation mechanism. TDG proved capable of an elegant account of German word-order phenomena. We apply it now to the modelization of word-order variation in the Dutch verb cluster and furt...

Citation: Zeidler A, Salmon PS, Whittaker DAJ, Pizzey KJ and Hannon AC (2017) Topological Ordering and Viscosity in the Glass-Forming Ge–Se System: The Search for a Structural or Dynamical Signature of the Intermediate Phase. Front. Mater. 4:32. doi: 10.3389/fmats.2017.00032 Topological Ordering and Viscosity in the Glass-Forming Ge–Se System: The Search for a Structural or Dynamical Signature ...

We study the electronic structure and energetics of carbon nanotubes with topological line defects consisting of fused pentagons and octagon rings by means of first-principles calculation in density functional theory and tight-binding molecular dynamics simulations. The tubes with the topological line defects are found to exhibit magnetic ordering where polarized electron spins are localized ar...

We introduce the notion of z-topological orderings for digraphs. We prove that given a digraph G on n vertices admitting a z-topological ordering, together with such an ordering, one may count the number of subgraphs of G that at the same time satisfy a monadic second order formula φ and are the union of k directed paths, in time f(φ, k, z) · n. Our result implies the polynomial time solvabilit...

Because topological surface states of a single-crystal topological insulator can exist on all surfaces with different crystal orientations enclosing the crystal, mutual interactions among those states contiguous to each other through edges can lead to unique phenomena inconceivable in normal insulators. Here we show, based on a first-principles approach, that the difference in the work function...