Maximizing spectral radii of uniform hypergraphs with few edges

In this paper we investigate the hypergraphs whose spectral radii attain the maximum among all uniform hypergraphs with given number of edges. In particular we characterize the hypergraph(s) with maximum spectral radius over all unicyclic hypergraphs, linear or power unicyclic hypergraphs with given girth, linear or power bicyclic hypergraphs, respectively

Generational dependency and elderly care : a psychological interpretation of cultural norms and exchange

ln spite of the complexity of such dynamic relationships in the caregiving system, the literature shows that dominant research paradigm has places elderly care in the framework of a simple, unqualified social exchange theory. The primary goal of this paper to critique research approach based on the social exchange theory. First, we wish to discuss how the exchange theory lies at the heart of the debate between the proponents and opponents of having family members as the primary care providers for elderly. We wish to review the basic assumptions that social exchange theory holds about caregiving relationships. Second, we suggest that focusing on the perceptions and expectations between the elderly person and his/her caretaker may instead be a more valuable approach to understanding the caregiving relationship. Here we submit that an example of the perception-expectation approach is reflected in the “secondary baby talk” between caregiver and the elderly. Third, we wish to discuss how such an approach may provide insight into a range of culturally variant behaviors for family members who are caring for elderly

Study on the design schemes of marine warning and forecasting system platform

The system platform of marine monitoring and disaster forecasting plays an important role in ocean observations, data collection as well as disaster prevention and mitigation. This paper discusses the necessity and significance of the system platform construction in Jiangsu Province, China. We take the construction of the observation platform as an example, considering the difficulties of the project design, analyzed the influence factors like wind, water level, tide, wave, earthquake and corrosion. On the basis, we study the platform???s program layout, hydraulic structures scheme, layout of main observation devices, power supply and lightning, construction scheme. The research results can provide a reference for the design of the subsequent ocean observing platform, and can be further applied in other related design of observation platform

Non-Abelian Chiral Spin Liquid on the Kagome Lattice

We study $S=1$ spin liquid states on the kagome lattice constructed by Gutzwiller-projected $p_x+ip_y$ superconductors. We show that the obtained spin liquids are either non-Abelian or Abelian topological phases, depending on the topology of the fermionic mean-field state. By calculating the modular matrices $S$ and $T$, we confirm that projected topological superconductors are non-Abelian chiral spin liquid (NACSL). The chiral central charge and the spin Hall conductance we obtained agree very well with the $SO(3)_1$ (or, equivalently, $SU(2)_2$) field theory predictions. We propose a local Hamiltonian which may stabilize the NACSL. From a variational study we observe a topological phase transition from the NACSL to the $Z_2$ Abelian spin liquid.Comment: 12 pages, 7 figures, 1 tabl

Thickness dependence of the anomalous Hall effect in thin films of the topological semimetal Co2_2MnGa

Topological magnetic semimetals promise large Berry curvature through the distribution of the topological Weyl nodes or nodal lines and further novel physics with exotic transport phenomena. We present a systematic study of the structural and magnetotransport properties of Co$_2$MnGa films from thin (20 nm) to bulk like behavior (80 nm), in order to understand the underlying mechanisms and the role on the topology. The magnetron sputtered Co$_2$MnGa films are $L$$2_{\mathrm {1}}$-ordered showing very good heteroepitaxy and a strain-induced tetragonal distortion. The anomalous Hall conductivity was found to be maximum at a value of 1138 S/cm, with a corresponding anomalous Hall angle of 13 %, which is comparatively larger than topologically trivial metals. There is a good agreement between the theoretical calculations and the Hall conductivity observed for the 80 nm film, which suggest that the effect is intrinsic. Thus, the Co$_2$MnGa compound manifests as a promising material towards topologically-driven spintronic applications.Comment: 7 pages, 5 figures, 1 tabl