一类图的亏格

在刘提出的联树模型的基础上,更广泛未必具有对称性的图类的亏格问题可以得到解决．本文中,我们得到了一类具有比较弱对称性的新图类的亏格．作为推论亦得到了完全三部图Kn,n,l（l≥n≥2）的亏格．此处所用方法比已知用来计算图的亏格问题的方法,如电流图等,更直接且可用线性时间算法实现．     

正规密码H~#-富足半群的结构

证明了H~#-富足半群S是正规密码H~#-富足半群当且仅当它是完全J~#-单半群的强半格.该结果也是正规密码超富足半群和正规密码群并半群分别在超富足半群和完全正则半群上的相应结构定理的推广.     

A method for rapidly confirming protein N-terminal sequences by matrix-assisted laser desorption/ionization mass spectrometry

The N-terminal sequence is important for the identification of a protein and the confirmation of its N-terminal processing. Although mass spectrometry (MS) is a sensitive and high-throughput method to sequence and identify peptides and proteins, N-terminal peptides, diluted among most of the peptides that do not originate at the N-termini, are not easy to identify directly with MS. To develop a simple and rapid method to identify and sequence the N-terminal peptide of a protein, a new strategy based on specific sulfonation of terminal amino groups and selective monitoring of the sulfonated peptide was introduced. After a protein had been guanidinated, 2-sulfobenzoylated, and reduced, it was digested with trypsin and analyzed by MS. Because of the strong acidity of sulfonic groups and the specific sulfonation of alpha-amino groups, the sulfonated N-terminal peptide dominated as base peak in the negative mode peptide mass fingerprint (PMF) and was easy to identify. The N-terminal peptide was then selected as precursor ion for tandem mass spectrometric (MS/MS) analysis. Four proteins were tested with this method and their N-terminal peptides were successfully recognized and sequenced. The results suggest that the addition of a sulfonic acid group facilitates the identification and de novo sequencing of N-terminal peptides.     

Two novel 3-D bismuth oxalates with organic amines protruding in channels

Two novel 3-D oxalate-containing bismuth compounds of formula (C₃N₂H₅)₂ [Bi₂(C₂O₄)₄(H₂O)₂]·2H₂O 1 and [NH(C₂H₅)₃][Bi₃(C₂O₄)₅] 2 were obtained by hydrothermal synthesis and characterized by single-crystal X-ray diffraction. Compound 1 crystallizes in the monoclinic P2/n space group with , , , β=97.280(3)°, Z=4, R₁=0.0340 and wR₂=0.0766 for unique 4734 reflections I>2σ(I). Compound 2 belongs to the orthorhombic Pbcn space group with , , , Z=4, R₁=0.0222 and wR₂=0.0568 for unique 2472 reflections I>2σ(I). The Bi^III centers have nine-fold coordination for 1 and eight-fold for 2 with the Bi atoms in distorted monocapped square antiprism and distorted dodecahedron, respectively. And oxalate ligands adopt different coordination modes: bidentate for 1, bidentate and tricoordinate for 2. Compounds 1 and 2 are both 3-D open-framework structures containing channels with guest molecules. These two compounds exhibit intense blue luminescence with the emission peaks at 419 nm for 1 and 442 nm for 2, respectively, in the solid state at room temperature. These compounds with novel structural frameworks could be useful in the field of photoactive materials.     

基于韧性度的低轨卫星通信网络抗毁性度量及优化

低轨卫星通信网络的抗毁性是描述网络安全可靠的有效工具,在网络体系结构设计和路由策略等领域得到了广泛的应用。根据低轨卫星通信网络中卫星在轨道平面内移动,需要不断进行切换的特点,从建立抗毁性测度模型以及网络抗毁性优化两个角度来评估和提高网络抗毁性,提出一种基于韧性度的低轨卫星通信网络抗毁性度量方法。通过对移动模型以及切换模型的结构分析,对每种结构以一定概率出现的低轨卫星通信网络,应用韧性度函数,求得网络在某个时刻及某一段时间段内的抗毁性,并针对切换模型的不足之处进行优化,用赋权韧性度来体现优化的效果,得到了优化后的网络抗毁性。以铱星系统为应用实例进行仿真,结果表明:任意时刻网络的抗毁性跟拓扑结构的韧性度值有关,并且是一种线性关系,即随着韧性度的增加,其抗毁性也增加。通过对铱星通信系统切换模型的优化,网络的抗毁性与平均抗毁性都得到了提升,说明本文所构建模型的有效性和实用性。     

变分迭代法在某些比例延迟微分方程中的应用

本文利用变分迭代法求解比例延迟微分方程。通过解一些比例延迟微分方程,说明变分迭代法能很好地得到比例延迟微分方程的解。     

常微分方程形式的M/M/1排队算子的谱分析

在l~1空间研究了常微分方程形式的M/M/1排队模型确定的算子A的谱问题.通过细致的谱分析,表明算子A的谱是一个椭圆型,椭圆内部点全是算子A的本征值.0位于椭圆的右边界点是边界上唯一的本征值,从而0不能与其它谱点相分离.这一结果表明常微分方程形式的M/M/1排队系统在有限时间不可能看到系统的稳定状态.     

秩为1矩阵的性质及应用

给出了秩1矩阵的结构,讨论了这类矩阵在矩阵运算、对角化、标准型等方面的性质,推广和改进了文[1]的一些相关结果,并指出了它的若干应用,重点讨论了一类矩阵,得到了有关结论和方法.     

广义(ω)性质及亚循环算子

研究了Weyl定理的一种变化形式:广义$(\omega)$性质; 给出了广义$(\omega)$性质成立的充要条件.同时, 广义$(\omega)$性质及算子的亚(超)循环性之间的关系得到了研究.     

R0-代数滤子的粗糙性

把粗糙集理论应用于R0-代数,引入了R0-代数的上、下粗糙滤子的概念,并讨论了R0-代数的粗糙滤子的相关性质.