具有最小上色数的bi-超图的最小边数

若一个混合超图H=χX,C,Dχ满足C=D,则称H为bi-超图.本文主要讨论上色数最小的bi-超图的最小边数问题,证明了上色数为2的3一致bi-超图的最小边数为[n(n-2)/3],其中n为对应bi-超图的顶点数.     

两类特殊超图的分数色数

图的分数着色问题是分数图论中的重要研究课题之一．超图作为图的推广在实际中有着广阔的应用．研究了两种特殊超图n阶完全r—一致超图和r-一致循环超图的分数色数,给出了具体的计算公式．     

3-一致完全超图的P((3))4-分解

超图分解在信息技术中有重要应用,λK⁽(3))_v的P⁽(3))₄-分解是最基本的3-一致超图路分解。应用3-设计的方法,通过直接构造,研究λK⁽(3))_v存在P⁽(3))₄-分解的构造和存在性,得到λK⁽(3))_v存在P⁽(3))₄-分解的充分必要条件是：λv(v-1)(v-2)≡0(mod 12)。     

超图的无圈分解问题

引入了超图的无圈分解的荫度的概念,研究了n阶r-完全超图Krn的无圈分解问题,给出了n阶r-完全超图Krn的荫度的一个下界Y(Krn)≥n!/r!(n-r 1)!.并提出猜想T(Krn)={n!/r!(n-r 1)!当[n!/r!(n-r 1)!]=n!/r!(n-r 1)!;n!/r!(n-r 1)! 1,当n!/r!(n-r 1)!≠n!/r!(n-r 1)!.这里[x]表示x的整数部分.     

CH_3SCH_3与CH_nF_(3-n)(n=0～3)吸氢反应的直接动力学研究

利用密度泛函方法(B3LYP)在6-311+G(d,p)基组水平上研究了CH3SCH3与CHnF3-n(n=0～3)吸氢反应的微观动力学机理,在QCISD(T)/6-311G(d,p)//B3LYP/6-311+G(d,p)+ZPE水平上进行了单点能校正,并利用Polyrate 8.2程序计算了各反应在200～3000K温度区间内的速率常数kTST、kCVT和kCVT/SCT,此外运用酸碱软硬度理论解释了随着甲基自由基逐步被F取代,速率常数不呈规律性变化的原因。     

图K2,2,4和K2,2,5具有M(3)性质

令G为1个给定的图.假设对图G的每1个顶点v,存在1个k色列表L(v),使得G存在唯一L-染色,则称G为唯一列表可染图.M.Ghebleh和E.S.Mahmoodian几乎完全刻画了唯一3-列表可染完全多部图,仅剩9个图没有解决.图K2,2,4和K2,2,5为2个没有解决的图.通过证明得知图K2,2,4和K2,2,5具有M(3)性质.     

NaOH、Na2CO3、NaHCO3互变型计算题解法分析

有关NaOH、Na2 CO3 、NaHCO3 互变型计算题是近年高考试卷中的热点 .这类计算题涉及多个反应 ,关系复杂 ,是考查能力的好题 .现将此种题的四类常见题型及解答规律作分析 ,供同学们复习时参考 .题型一 :CO2 与NaOH反应【反应规律】( 1 )涉及有关反应 :CO2 2NaOH =Na2 CO3 H2 O(CO2 不足 )CO2 Na2 CO3 H2 O =2NaHCO3即 :CO2 NaOH =NaHCO3 (CO2 足量 )( 2 )产物分析 :当n(CO2 )∶n(NaOH) =1∶2时 ,产物只有一种 ,为Na2 CO3 ;当n(CO2 )∶n(NaOH) =1∶1时 ,产物只有一种 ,为NaHCO3 ;当 1 / 2 相似文献   

Ramsey数R(K_3,K_(17)-e)的新下界

研究了完全图的循环着色,提出了完全图循环着色的一种计算机算法,得到了广义Ramsey数R(K3,K17-e)的一个新下界:R(K3,K17-e)≥79.     

广义Ramsey数R(K_3,K_(21)-e)和(K_3,K_(22)-e)的新下界

研究了完全图的循环着色,得到了广义Ramsey数R(K3,Kq-e)的两个新下界:R(K3,K21-e)≥111、R(K3,K22-e)≥122.     

第3届女子数学奥林匹克试题及略解

1.如果存在1,2,…,n的一个排列a1,a2,…,an,使得k ak(k=1,2,…,n)都是完全平方数,就称n为"好数".     

汉字倒说

汉字的六书,《说文》对“转注”一类,语焉不详。后世学者提及转注,也仅限于许慎所举出的例字。《汉字例说》一文,作者从转注的角度综合考虑,对部分现代常用字作了分析,跟传统的解释有所不同。希望能抛砖引玉,互相切磋,以推进学术研究。     

卡思卡特城堡

It is worthy of noting that, whilst Crookston Castle witnessed the earlier and happier portion of Mary's variegated life,     

不同的吃喝玩乐

一、吃和喝吃苹果 eat an apple, 吃药 take medicine,吃糖 have some sweets,吃饭 have one's meals,吃馆子 dine out,吃惊 be surprised/     

漏洞百出的教育

Many college freshmen arrive woefully unprepared to do college work, and as disadvantaged populations continue to grow, the share of the American work force that has made it through college is expected to plummet. Many experts blame that educational failure not just on high schools but also on colleges. School & College, a special report by The Chronicle, looks at efforts to fix the system. What reforms would better prepare students for college? What should schools and colleges be doing differently? How should state and federal officials help?     

钱生钱!

我们绝大部分人都同意一件事情——我们喜欢金钱。但是你对金钱的喜欢之情足够到让你创立一份事业么?.财富通常被人忽视,主要在于人们不能真正了     

Inequalities for inscribed simplexes

The problem on the geometrc inequalities involving an n-dimensional simplex and its inscribed simplex is studied. Aninequality is established, which reveals that the difference between the squared circumradius of the n-dimensional simplex andthe squared distance between its circumcenter and barycenter times the squared circumradius of its inscribed simplex is not lessthan the 2(n-1)th power of n times its squared inradius, and is equal to when the simplex is regular and its inscribed siplex is atangent point one. Deduction from this inequality reaches a generalization of n-dimensional Euler inequality indicating that thecircumradius of the simplex is not less than the n-fold inradius. Another inequality is derived to present the relationship betweenthe circumradius of the n-dimensional simplex and the circumradius and inradius of its pedal simplex.     

只要努力,不要后悔

There are numbers of crossroads on our long and unpredictable life journey where we totally have no idea about which direction to choose. No matter what our decision is, we should not turn back, but face the music and go ahead instead. I am this kind of girl who always does try without regretting, one example is how I dealt with my love.     

浅谈移民问题

Migration occurs behind a variety of reasons and has a great effect on the whole world. People may migrate in order to improve their economic situation, or in order to escape civil strife, persecution, and environmental disasters. The impact of migration is complex, bringing both benefits anddisadvantages. This paper briefly talks about the causes of migration, the allocation of benefits, and the ways in which individual countries and the international community deal with this important subject.     

微薄的薪水,高尚的情操

现在,我们可以没有面包,没有钱,没有房子,没有车子……但我们唯独不能丢失的是高尚的情操,笃定的信念,还有,满满的希望!     

Virtual reality approach for 3D large model browsing on web site

Using virtual reality for interactive design gives a designer an intuitive vision of a design and allows the designer to achieve a viable, optimal solution in a timely manner. The article discusses the process of making the Virtual Reality System of the Humble Administrator＇s Garden. Translating building data to the Virtual Reality Modeling Language （VRML） is by far unsatisfactory. This creates a challenge for computer designers to do optimization to meet requirements. Five different approaches to optimize models have been presented in this paper. The other methods are to optimize VRML and to reduce the file size. This is done by keeping polygon counts to a minimum and by applying such techniques as object culling and level-ofdetail switching.