About: Centered hexagonal number is a research topic. Over the lifetime, 15 publications have been published within this topic receiving 155 citations.
TL;DR: Unbiased Monte Carlo simulations and simple stabilization arguments reveal face centered cubic and hexagonal close packed Skyrmion crystals for different choices of the interlayer exchange, indicating that they behave as effective mesoscale particles.
Abstract: Skyrmions are disklike objects that typically form triangular crystals in two-dimensional systems. This situation is analogous to the so-called pancake vortices of quasi-two-dimensional superconductors. The way in which Skyrmion disks or "pancake Skyrmions" pile up in layered centrosymmetric materials is dictated by the interlayer exchange. Unbiased Monte Carlo simulations and simple stabilization arguments reveal face centered cubic and hexagonal close packed Skyrmion crystals for different choices of the interlayer exchange, in addition to the conventional triangular crystal of Skyrmion lines. Moreover, an inhomogeneous current induces a sliding motion of pancake Skyrmions, indicating that they behave as effective mesoscale particles.
TL;DR: In this article, the anti-forcing number of double hexagonal chains is determined and extremal graphs are characterized, where the extremal graph is characterized by the smallest number of edges that have to be removed so that the remaining graph contains only one perfect matching.
Abstract: The anti-forcing number of a graph is the smallest number of edges that have to be removed so that the remaining graph contains only one perfect matching. In this paper, the anti-forcing number of double hexagonal chains is determined and the extremal graphs are characterized.
TL;DR: The anti-forcing number is the smallest number of edges that have to be removed that any benzenoid remains with a single Kekules truc- ture.
Abstract: The anti-forcing number is the smallest number of edges that have to be removed that any benzenoid remains with a single Kekules truc- ture. In this paper, we give a algorithm for computing the anti-forcing number of hexagonal chains and determine the bounds of the anti- forcing number of hexagonal chains.
TL;DR: A hexagonal cell honeycomb structure body has cell walls arranged in a hexagonal shape lattice, hexagonal shaped cells partitioned by the cell walls, and a skin layer with which the outside surface of the honeycomb body is covered.
Abstract: A hexagonal cell honeycomb structure body has cell walls arranged in a hexagonal shaped lattice, hexagonal shaped cells partitioned by the cell walls, and a skin layer with which the outside surface of the hexagonal cell honeycomb structure body is covered. An average thickness of basic cell walls is not more than 140 μm. A relationship of Dax/P≧0.13 is satisfied, where Dax is an average of diameters of inscribed circles, each of which is inscribed in a boundary part of three basic cell walls at a junction area between opening parts of adjacent three cells. On a cross sectional surface of the body, a surface of the basic cell wall has a concave part curved toward its inside direction, and an inside angle part of adjacent two basic cell walls has a curved shape, which smoothly connects the surfaces of the adjacent two basic cell walls.