三色Ramsey数R(Cm1,Cm2,Cm3)研究

用r种颜色对图G的所有边着色,记着第i色的边构成的子图为Gi,如果存在一种着色方法使得对所有的1≤i≤r都满足Hi Gi,则称图G对于(H1,H2,…,Hr)可r着色.R am sey数R(H1,H2,…,Hr)是使得完全图Kn对于(H1,H2,…,Hr)不可r着色的最小正整数n.令m1>m2≥m3,E r.do.s等给出了当m1足够大时R(Cm1,Cm2,Cm3)的值.通过对m1不是足够大的情况进行研究,证明了当m≥5时,R(Cm,C3,C3)=5m-4;并给出了当m1≤7时R(Cm1,Cm2,Cm3)的值.     

三色Ramsey数尺（Cm1，Cm2，Cm3）研究

用r种颜色对图G的所有边着色，记着第i色的边构成的子图为G1,如果存在一种着色方法使得对所有的1≤i≤r都满足Hi￠Gi，则称图G对于（H1，H1，…．Hr）可r着色．Ramsey数尺（H1，H2，…，Hr）是使得完全图Kn对于（H1．H2，…，Hr）不可r着色的最小正整数n，令m1〉m2≥m3，Erdoes等给出了当m1足够大时R（Cm1，Cm2，Cm3）的值．通过对m1不是足够大的情况进行研究，证明了当m≥5时，R（Cm，C3m,C3）=5m=4；并给出了当m1≤7时R（Cm1，Cm2，Cm3）的值．     

(k(f-1)+r-1,kf-r+1)-图的均匀边着色

通过研究因子分解,证明了:对于(k(f-1)+r-1,kf-r+1)-图G(2≤r≤k),H是G中一个给定的有r条边的子图,则G存在一个子图R,使得R有一个均匀边着色与H近似正交.     

二分图中具有正交(g,f)-因子分解的子图

设G是一个二分的(mg+k,mf-k) 图,其中1≤k相似文献   

Ramsey数r(mC_3,nC_4)

对于图G和图H ,Ramsey数r(G ,H)定义为最小正整数 p ,使得完全图Kp 用红、蓝两色作任意边着色后 ,总含红色子图G或蓝色子图H。以mG记m个图G的不相交并 ,Ck 记长度为k的圈 ,对于正整数m、n ,n≥m≥ 1 ,本文确定了Ramsey数r(mC3 ,nC4)。     

有圈二部图覆盖的一个结果

H.Wang猜想,对于任意整数k≥2,存在N(k)使得二部图G=(V1,V2,E)中,V1=V2=n≥N(k),且对于G中任意一对不相邻的顶点x∈V1,y∈V2,有d(x)+d(y)≥n+k,那么,对于G中任意k个独立边e1,e2,e3,…,ek,存在顶点不重的k个圈C1,C2,…,Ck,使得ei∈E(Ci),i∈{1,2,…,k}和V(C1∪C2∪…∪Ck)=V(G).H.Wang及J.A.Bondy对k=2,3时证明了猜想成立,本文对k=4证明了猜想的正确性.     

稀疏图的(0,1)-松弛强边着色

给定一个图G=(V (G),E (G)),图G的(s,t)-松弛强边着色数是指使得图G有(s,t)-松弛强k边着色的最小k值,记作χ′₍(s,t))(G).证明了在图G中,如果mad (G)<3,Δ≤7,那么χ′₍(0,1))(G)≤3Δ-1;同时证明了对于任意一个平面图G,如果g (G)≥7,Δ≥4,那么χ′₍(0,1))(G)≤■     

$P_n$和$C_n^k$的Ramsey数

称Fk为图F的k幂次图,如果V(Fk)=V(F),且Fk中的任意两个顶点相邻当且仅当在F中的距离至多为k.给定图G和H,Ramsey数R(G,H)为最小的正整数N,使得完全图KN的任意红蓝-边着色都会含有一个红色的子图G或者蓝色的子图H.证明了渐近阶R(Pn,Ckn)=(n-1)(χ(Ckn)-1)+σ(Ckn)+o(n),其中k是常数.     

扇形图与匹配图的临界星图Ramsey数

对于完全图Kn和一个额外的顶点v,通过在v与Kn之间添加k条边所得出的图,记为KnK1,k.设G和H是任意的图,临界星图Ramsey数r*(G,H)定义为最小的正整数k,使得图KN-1K1,k的任意红蓝2-边着色,或者存在单色的红色子图G,或者存在单色的蓝色子图H,这里N指的是Ramsey数r(G,H).文中找到了r(Fn,mK2)的所有临界图,利用这些临界图得到了临界星图Ramsey数r*(Fn,mK2)=m+1,nm≥1,以及r*(Fn,mK2)=2 m,n≤m,这里Fn=K1+nK2是扇形图.     

图中子图的正交(g,f)-因子分解

设g和f是两个定义在图G顶点集上的整值函数,使得对G的所有顶点x有g(x)≤f(x)。证明了以下结果:如果G是一个(mg+r,mf-r)-图,1≤r相似文献   

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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