关于图的伴随多项式的几个结果

本文给出了图的伴随多项式的一个新的递推公式,并证明了:如果 P_m 是不可约路,则 m 1是一个素数.我们也讨论了伴随多项式的系数的某些性质。     

基于割路加圈法的图结构分析

利用图的伴随多项式的因式分解的图论方法,对一类图簇的伴随多项式进行了因式分解,并给出了这类图簇的补图的色等价图的结构特征.     

关于图Fn补图伴随多项式根的讨论和相关结果

文献[4]中引入了伴随多项式的概念来讨论图的色性．由于伴随多项式系数的特点，决定了它的根具有特殊性，本文利用伴随多项式的性质，讨论了Fn补图伴随多项式的最小根问题，它对解决Fn补图的色唯一性有着重要意义．     

H~(s(i,j))型图的伴随分解及其补图的色等价性

利用图的伴随多项式的性质及其伴随分解的图论方法,我们讨论了Hs(i,j)型图的伴随多项式的因式分解,进而证明了在不同条件下这类图的补图的色等价性.     

图簇h(PmSG（r,n+1）)的伴随多项式的因式分解及其补图的色等价性

本文利用图的伴随多项式的性质及其伴随分解的图论方法,讨论了h(PSmG(r,n+1))型图的伴随多项式的因式分解,证明了在不同条件下这类图的补图的色等价性。     

图簇h(P_m~(SG)_((r,n+1)))的伴随多项式的因式分解及其补图的色等价性

本文利用图的伴随多项式的性质及其伴随分解的图论方法,讨论了h(PSmG(r,n+1))型图的伴随多项式的因式分解,证明了在不同条件下这类图的补图的色等价性。     

一类新的图簇的伴随分解定理及其补图的色等价性

设Pn是具有n个顶点的路,Sδ表示有δ=r+1个顶点的星图,把Pn的n个顶点与nSδ的每一个分支的r度顶点依次重迭后得到图PSnδ,运用网的伴随多项式的性质,讨论了图簇PSnδUtSδ的伴随多项式的因式分解定理,进而证明了它们的补图的色等价性.     

基于图论因式分解方法的图结构分析

利用图的伴随多项式的因式分解的图论方法,即挖顶补点法和割路加圈法,对一类图簇的伴随多项式进行了因式分解,并给出了这类图簇的补图的色等价图的结构特征.     

图UnUK4-的色等价刻画

h（G，x）表示图G的伴随多项式，它从图G的补图出发研究色惟一和色等价．若P（G，λ）：P（H，λ），称G和H色等价，一个图被称为是色惟一的，如P（G，λ）=P（H，λ）意味着G≈H．若h（G，x）：h（H，x），称G和H伴随等价；G和H色等价当且仅当G^-和H^-伴随等价；G色惟一当且仅当G^-伴随惟一．Un表示从路Pn-4的每个1度点分别引出两个悬挂边所得到的具有两个3度点4个1度点的树．K4^-表示从K4中删去一条边得到的图．应用伴随多项式理论研究了图（UnUK4^-）^-的伴随多项式系数和根的性质，以此为基础刻画了图（UnUK4^-）^-的色等价图类。     

图簇G(1,rpn)的伴随多项式的恒等式及其因式分解

通过研究图的伴随多项式的重要恒等式与因式分解,将图Grpn推广到G(1,rpn),并证明了图簇G(1,rpn)的伴随多项式的重要恒等式,据此讨论了G(1,rpn)类图簇的伴随多项式的因式分解问题,给出并证明了它们的补图的色等价图的结构特征。     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with     

Journal of Donghua University ( English Edition) Contents of Volume 31

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