On Some Spectral Invariants of Graphs

图谱理论是代数图论的一个重要研究课题，它在量子化学、物理学、计算机科学、通信网络以及信息科学中均有非常重要的应用．图谱理论主要涉及图的邻接谱和Laplacian谱的研究，其研究的主要途径是通过图的矩阵(主要是邻接矩阵和Laplacian矩阵)表示，运用线性代数、矩阵理论等代数工具和技巧并结合图论与组合学的理论和方法，建立图的拓扑结构，特别是反映图的结构性质的各种不变量与图的代数不变量(主要是一些谱不变量)之间的联系． 图的预解Estrada指标、Laplacian谱半径及Laplacian特征值幂和是图的三类有着广泛应用背景的谱不变量．本文首先综述了这三类谱不变量的相关背景及研究进展，然...The spectral graph theory is one of the main branches in algebraic graph theory. There are a lot of important applications in the fields of quantum chemistry, physics, computer science, communication network and information science. It is mainly concerned with the adjacency spectrum and the Laplacian spectrum. The principal approach for this research is by using the matrix (mainly the adjacency ma...学位：理学博士院系专业：数学科学学院数学与应用数学系_应用数学学号：1902009015361

浅谈数学在学科交叉与综合中的作用

学科交叉与综合是当代科学发展的时代特征。数学在与其他学科进行交叉渗透的同时,日益起着统一、综合各种科学知识的作用

The Circuit Design of Piezoelectric Jetting Dispensing Control System

基于新型压电式点胶头采用的双压电陶瓷的推挽驱动作为胶体喷射的作用机制,设计并搭建了压电式喷射点胶控制系统,完成了硬件与软件模块的组装调试,实现对下压电陶瓷信号的频率、占空比、幅值、上压电陶瓷信号幅值的连续可调,具备人机交互、清洗、喷射点数可调等功能。经测试,系统各参数达到预定指标,频率显示误差:±1.2 Hz;占空比显示误差:±1%;幅值显示误差:±8 MV。在驱动方波电压200 V、频率65 Hz、占空比20%、喷嘴直径250μM、供料压力4 bAr、喷射高度3.5 MM的条件下,得到平均直径为1.07 MM左右的喷射胶滴,一致性误差为±2%。According to the working principle of newly piezoelectric dispensing head,which using the pushed driving of double piezoelectric ceramic for colloform jetting,we design and establish this piezoelectric jetting dispensing control system.Meanwhile,package the hardware and debug the software,achieve the goal that frequency,duty cycle and amplitude of the lower piezoelectric ceramic signal,amplitude of the upper piezoelectric ceramic signal can be continuously adjusted.The system has the function of man-machine interaction,cleaning,regulating injection points,and so on.After tested,all of the system parameters can meet the presupposed index,with the frequency display error: ±1.2 Hz,duty cycle display error: ±1%,amplitude display error: ±8 mV.Under the condition that voltage of the driving squarewave 200 V,frequency 65 Hz,duty cycle 20%,diameter of nozzle 250 μm,pressure 4 bar,height of jetting 3.5 mm,we get the jetting drops with an average diameter of 1.07 mm,and its conformity error ±2%.中央高校基金科研业务费专项资金资助项目(2010121039

类泛素蛋白及其中文命名

泛素家族包括泛素及类泛素蛋白,约20种成员蛋白.近年来,泛素家族领域取得了迅猛发展,并已与生物学及医学研究的各个领域相互交叉.泛素家族介导的蛋白质降解和细胞自噬机制的发现分别于2004和2016年获得诺贝尔奖.但是,类泛素蛋白并没有统一规范的中文译名. 2018年4月9日在苏州召开的《泛素家族介导的蛋白质降解和细胞自噬》专著的编委会上,部分作者讨论了类泛素蛋白的中文命名问题,并在随后的\"泛素家族、自噬与疾病\"(Ubiquitinfamily,autophagy anddiseases)苏州会议上提出了类泛素蛋白中文翻译草案,此草案在参加该会议的国内学者及海外华人学者间取得了高度共识.冷泉港亚洲\"泛素家族、自噬与疾病\"苏州会议是由美国冷泉港实验室主办、两年一度、面向全球的英文会议.该会议在海内外华人学者中具有广泛影响,因此,参会华人学者的意见具有一定的代表性.本文介绍了10个类别的类泛素蛋白的中文命名,系统总结了它们的结构特点,并比较了参与各种类泛素化修饰的酶和它们的生物学功能.文章由45名从事该领域研究的专家合作撰写,其中包括中国工程院院士1名,相关学者4名,长江学者3名,国家杰出青年科学基金获得者18名和美国知名高校华人教授4名.他们绝大多数是参加编写即将由科学出版社出版的专著《泛素家族介导的蛋白质降解和细胞自噬》的专家

Further Ordering Trees with Perfect Matchings by Their Spectral Radius

用图的谱对图进行分类和排序是图谱理论的研究方向之一.主要研究了完美匹配树依谱半径排序的问题.事实上,到目前为止,具有前七大谱半径的完美匹配树已经排出,且具有第八大至第二十大谱半径的完美匹配树的范围也已经确定,但它们之间的大小顺序还没有具体给出.借助图的移接变形和图的特征多项式等工具,完整地解决了这一问题,具体排出了具有第八大至第二十大谱半径的完美匹配树.One of the main research topics in spectral graph theory is classifying or ordering graphs by their spectra.In this paper,ordering trees with perfect matchings by their spectral radius are mainly concerned.In fact,up to now,the first 7th largest trees with perfect matchings according to their spectral radius have been ordered.However,the 8th to 20th largest trees with perfect matchings according to their spectral radius are not completely ordered.By means of the transformations and the characteristic polynomials of graphs,we completely determine the 8th to 20th largest trees with perfect matchings according to their spectral radius.广西壮族自治区教育厅科研项目(201106LX460

图的预解Estrada指标的界的估计(英文)

n阶图G的子图中心度,即后来著名的Estrada指标定义为EE(G)=∑_(i=1)~N e~(λ2).其中λ_1,λ_2……λ_n为图G的特征值.作为复杂网络的一种中心性测度和一种分子结构描述符,Estrada指标在许多研究领域有着广泛的应用.最近,Estrada和High-ama引进了一种新的复杂网络中心度,即∑_(i=1)~n n-1n-1λ_i:他们称之为预解中心度,后来又被称为预解Estrada指标.本文主要利用图G的顶点数和边数给出了图G的预解Estrada指标的若干界

A Novel Hydride Generation Technique—— Movable Reduction Bed Hydride Generator Ⅰ. The Configuration and Characteristic of the Movable Reduction Bed Hydride Generator

发展了一种新型的氢化物发生技术———可移动还原床氢化物发生器，可以实现微升级样品的分析而不需要对样品进行酸化和使用气-液分离器。给出了装置的结构、操作，试验并优化了固体还原剂与有机酸的质量配比、反应腔体体积、进样量等反应条件。该技术易于实现自动化，可作为液相色谱、毛细管电泳和其他色谱分离技术与光谱检测技术之间的接口。A novel hydride generation system termed “movable reduction bed hydride generator” has been developed in this work.It will accomplish the hydride generation at micro liter sample volume without the need for an external addition of acid, and the use of a gas liquid separator.The technique may offer a possibility of automatic operation, as well be used as an interface for liquid chromatography(LC), capillary electrophoresis(CE) and other chromatograph.国家自然科学基

A Novel Hydride Generation Technique\=Movable Reduction Bed Hydride Generator\=. As an Interface between Capillary Zone\=Electrophoresis and ICPAES for\= Arsenic Speciation Analysis

发展了一种新型的氢化物发生装置———可移动还原床氢化物发生器（MrbHg）。应用该技术可将经毛细管区带电泳（CzE）分离之后的各种砷的化合物转换为相应的氢化物，然后再被引入到电感耦合等离子体发射光谱（ICP-AES）进行检测。对不同形态砷的不同化合物的CzE分离条件进行了优化，包括缓冲溶液的PH值及浓度、进样量等。CzE-MrbHg-ICP-AES应用于4种砷化合物的定量测定，峰面积的rSd（n＝5）在1.9%~11.7%。4种砷的浓度检出限分别为：AS（Ⅲ）、甲胂酸和AS（V）0.32Mg/l，二甲胂酸钠0.35Mg/lHydride generation technique may significantly improve the detection limits for a number of hydride forming elements with atomic spectrometric determination. In order to harmonize the microliter level eluent from capillary zone electrophoresis (CZE) and the milliliter sample volume commonly needed in ICPAES, a specially designed technique movable reduction bed hydride generation (MRBHG) has been developed. One of the advantages of the MRBHG is that it could be simply operated and might carry out the hydride generation for micro sample volume without the use of a gasliquid separator and the addition of an acid dehydrator. Thus the technique could be used to convert arsenic compounds from CZE separation to corresponding volatile hydrides followed by ICPAES analysis. The separation characteristics of arsenic species by capillary zone electrophoresis are presented in this paper including the optimization of experimental parameters such as pH and concentration of buffer solution, as well as sample国家自然科学基

A Novel Hydride Generation Technique\=Movable Reduction Bed Hydride Generator\= . Study of Interferences and Applications

新型的氢化物发生技术———可移动还原床氢化物发生器（MrbHg）可以实现微升级样品的测定而不需要对样品进行酸化和使用气-液分离器。应用MrbHg-电感耦合等离子体发射光谱取得了同等质量而不同形态的AS、SE的相同信号强度，证明了在MrbHg体系中氢化物元素之间的干扰得到消除，方法用于合金钢、富硒茶叶等实际样品的测定，标准加入的回收率在93%~114%。Some characteristics of the novel hydride generation systemmovable reduction bed hydride generator (MRBHG) is reported in this paper.Besides accomplishing the hydride generation at microliter sample volume without the need for an external addition of acid and use of a gasliquid separator, interferences among hydride forming elements are also greatly reduced in this system.The similar hydride generation efficiency for different valency and species of As and Se is obtained.The hydride forming elements in alloy steel and tea samples were determined by ICPAES with MRBHG system.The recoveries of standard addition for As and Se in alloy steels and a Chinese tea sample are 93%107% and 98%114% respectively.\=\=国家自然科学基