Persistent Currents and Edge States in a Quasi-One-Dimensional Mesoscopic Ring with a Screened Interaction

The effect ofthe edge state on the persistent current in quasi-1D mesoscopic rings with a screened interactionwhich exists only between nearest-neighboring particles is studied with the Hartree-Fock approximation. The theoreticalvalue of the current magnitude is greatly enhanced by both the edge state and the Coulomb interaction, and pinningthe electrons into a lattice is good for the enhancement if screening happens. In high dimensional systems the screeningeffect can make the interacting range show anisotropy, and create a tendency of gathering for particles with a repulsivepotential.     

一种改进的基于小波变换的图像边缘提取算法

在对现有的基于小波变换的图像边缘提取方法进行简要分析的基础上,提出了图像边缘提取改进算法.该算法主要是对边缘点的判断准则进行了改进,通过将任一点的梯度方向与水平、垂直、45°、135°方向进行比较,将这4个方向中与该点梯度方向最接近的一个方向重新赋给该点的梯度方向,并检验二进小波变换的模在该点是否为新的梯度方向上的局部极大值,若是,该点就是边缘点,否则不是.最后通过模拟实验给出了该方法的实验结果,实验结果有力地证明了该方法的有效性.     

星和完全等二部图联图的点可区别均匀边染色

研究了星与完全等二部图的联图Sm∨Kn,n的点可区别均匀边染色。     

关于Sm∨Sn的边色数和邻强边色数

本文研究了m＋1阶的星Sm和n＋1阶的星Sn的联图Sm∨Sn的边染色和邻强边染色．得到了Sm∨Sn的边色数和邻强边色数。     

T‐joins intersecting small edge‐cuts in graphs

In an earlier paper 3 , we studied cycles in graphs that intersect all edge‐cuts of prescribed sizes. Passing to a more general setting, we examine the existence of T‐joins in grafts that intersect all edge‐cuts whose size is in a given set A ?{1,2,3}. In particular, we characterize all the contraction‐minimal grafts admitting no T‐joins that intersect all edge‐cuts of size 1 and 2. We also show that every 3‐edge‐connected graft admits a T‐join intersecting all 3‐edge‐cuts. © 2007 Wiley Periodicals, Inc. J Graph Theory 56: 64–71, 2007     

模糊连通度与模糊核度

本文给出了衡量模糊连通性的三个工量：模糊连通度，模糊边连通度与模糊核度及其相关的性质。与普通图连通性的分析相比较，由于考虑了模糊性，这三个量能更好，更深入地刻划出不同的图在连通性方面的微妙差异。     

平面图为第一类图的一些充分条件

给出了平面图为第一类图的边数的一些上界,并给出了平面图为第一类图的一些充分条件.     

Some results related to the toughness of 3-domination critical graphs

A graph G is said to be k-γ-critical if the size of any minimum dominating set of vertices is k, but if any edge is added to G the resulting graph can be dominated with k−1 vertices. The structure of k-γ-critical graphs remains far from completely understood, even in the special case when the domination number γ=3. In a 1983 paper, Sumner and Blitch proved a theorem which may regarded as a result related to the toughness of 3-γ-critical graphs which says that if S is any vertex cutset of such a graph, then G−S has at most |S|+1 components. In the present paper, we improve and extend this result considerably.     

Vertices of Degree 5 in a Contraction Critically 5-connected Graph

An edge of a k-connected graph is said to be k-contractible if the contraction of the edge results in a k-connected graph. A k-connected graph with no k-contractible edge is said to be contraction critically k-connected. We prove that a contraction critically 5-connected graph on n vertices has at least n/5 vertices of degree 5. We also show that, for a graph G and an integer k greater than 4, there exists a contraction critically k-connected graph which has G as its induced subgraph.     

Energy Dispersive X-Ray Spectrometry by Microcalorimetry for the SEM

 Analytical X-ray spectrometry for electron beam instruments has advanced significantly with the development of the microcalorimeter energy dispersive X-ray spectrometer (μcal EDS). The μcal EDS operates by measuring the temperature rise when a single photon is absorbed in a metal target. A cryoelectronic circuit with electrothermal feedback and a superconducting transition edge sensor serves as the thermometer. Spectral resolution approaching 4.5 eV for high energy photons (6000 eV) and 2 eV for low energy photons below 2000 eV has been demonstrated in energy dispersive operation across a photon energy range from 250 eV to 8 keV. Spectra of a variety of materials demonstrate the power of the μcal EDS to solve practical problems while operating on a scanning electron microscope platform.