Z—Transformation Graphs of perfect Matchings of Hexagonal Systems

A hexagonal system is defined to be a finit connected plane graph with no cut-vertices in which every interior region is surrounded by a regular hexagon of side length one.In the present paper we define the Z-transformation graph of a hexagonal system H to be the graph where vertices are the perfect matchings of (?) and where two perfect matchings are joint by an edge provided their symmetric difference is a hexagon of H.We prove that,if H has perfect matchings,Z(H)is a connected bipartite graph.Besides,Z(H)is either an elementary chain or a graph with girth 4.Some further results are obtained also.     

Matching Polynomials of Special Graphs

Farrell in [1] and Godsil and Gutman in [2] gave different definitions about matching polynomials ?? this paper we use the definition of [1] If G is a graph,m(G,i) will denote the number of matchings in G,i.e.,the number of selections of i independent edges of G.If i=0,We define m(G,0)=1.If G has n vertices,we call the polyrnomial ??? to be the matching polynomial of G.By ? we denote the complement of G obtained by deleting the edges of G from the complete graph ? denote the bipartite graph with bipartition m and n By ? we denote the bi-complement of ? obtained by deleting the edges of ?from ? (where ? is the complete bipartite graph with bipartition m and n).     

国际会议论文摘要(英文)

Electron depth absorbed dose distributions in silicon, Xinjiang "Hami" melon and human tissues have been measuremented by an extrapolation chamber made by ourselves. These results show that the dose rate of surface-shallow layers in silicon has been increased by the scattering electrons. As incident angles of electron beams are different but energy of electron beams is the same, the build-up region of the     

SOME PROPERTIES ABOUT DISTANCE DEGREE REGULAR GRAPHS

1. Introbuetion In paper [1], G. S. Bloom and others presented the concept of distance degree regular (DDR)graph, and discussed some fundamental properties about this class of graphs. In this paper, we mainIy consider the properties about graphical operations of DDR-graphs. In addition, we will give a class of DDR-graph having some special properties to demonstrate the variety and complexity of the structure of DDR-graphs. The graphs considered in the paper are all finite     

采用传通管的CMOS存贮元件

The CMOS transmission gate is a typical application of the passtransistor. Two transmission gates with complementary controls can form a1-of-2 multiplexer, as shown in Fig. 1 a. Two special cases are of interestif c_0=0 and c_1=y, the output is x.y, and if c_0=y and c_1=1, the output isx+y. The AND and OR gates arising from these cases are shown in Figs.1 b and 1 c. Where 0 or 1 is transmitted, the unnecessary PMOS or NMOStransistor in the pass path has been omitted. These gates save one MOStransistor in comparison with the traditional scheme of a NAND gate orNOR gate plus an inverter. The inputs are treated asymmetrically in thesegates, yielding an inverse output for one of the inputs. The symbols in Fig1 show the extra output and emphasize the asymmetry.     

外刊部分论文摘要

1 Zhang Fuji and Guo Xiaofeng(张福基、郭晓峰), HamiltonCycles in Euler Toux Graph,Combinatorial Theory, Series B,Vol. 40, No. 1, 1986, 1--8.Abstract In this paper we define the Eulertour graph of an Eulerian graph byk-transformations, which was intro-duced by kotzig in 1966 (in "Theory     

富理埃级数及其导级数的(L)求和

We shall say that the sequence{S_n}is summable(L)to S,ifLet f(t)be integrable L in(-π,π)and periodic with 2π,and letIn this note we shall prove the following theorems,which are conjectured byMohanty and Nanda.THEOREM 1 LetTHEOREM 2 Let     

关于复数阶蔡查罗求和法的求和因子

We say thatu_n is summable(C,a)to sum s,ifwherewhen a is a complex number,σ_n~a can be still defined as above.For Rea>0,Cesaro means(C,a)is regular.When I_ma_1I_m a_2,Re a_2>Re a_1>-1,any serieswhich is summable(C,a_1)is summable(C,a_2).If Rea_1=Rea_2,I_ma_1I_ma_2 and a_1,a_2-1,-2,…,it is known that there exists a series which is summable(C,a_1)but not summable(C,a_2).The object of this note is to find all convergence and summability factors inorder that the seriesu_k is summable(C,β)wheneveru_k is summable(C,a)a and β are any two complex numbers.For a real convex sequence{f_k},theproblems in the case a=0,β=iτ;a=1,β=1+iτ have been solved by volkof(3).I should like to discuss more general case for the generalized convex sequen-ce.We say that the sequence{f_k}is generalized convex,ifThe following theorems are proved.THEOREM 1.Let α,β be any two given complex numbers with 1>Re α=Re β>-1,I_m,αI_mβ and suppose that{f_k}is a generalized convex sequence.The neeesary and sufficieng condition forf_ku_k being summable(C,β)wheneveru_k is summable(C,α)is that f_n=0(1). THEOREM 2.Let α,β be any two given complex numbers with 1>Re α>max(Reβ ,1/2 R_e β—(1/2)),I_m αI_mβ,furthermore α,β-1,-2,…,and supposethat{f_k}is a generalized convex sequence.The necessary and sufficient conditionforf_k u_k being summable(C,β)wheneveru_k is summable(C,α)is thatTHEOREM 3.Let a and β be any two given complex numbers withand suppose that{f_k}is a generalized convex sequence.The necessary andsufficient condition foru_k being summable(C,α)wheneverf_k u_k is summable(C,β)is that|f_n|≥M>0for all n=0,1,2,…M-constant.THEOREM 4.Let α,β be any two given complex numbers withand suppose that{f_k}is a generalized convex sequence.The necessary andsufficient condition foru_k being summable C,α)wheneverf_ku_k is summable(C,β)is that|f_n|≥Mn~(Re(β-α))for all n=0,1,2,… M— constant.     

关于修正Szasz-Mirakjan算子的收敛性(英文)

uniformly on every interval[x_1,x_2],0≤x_1相似文献   

Managment and Optimization Model for Rangelands in Western China

Introduction The climatic characteristics of Northwestern China is dry with little precipi-tation and frequent wind flows, i. e. croncuced continental climate The annual rain-fall in most of the rangelands is between 250 to 600mm, majority of which are concen-trated in summer. This region is categorized as an arid desert grassland, or a semi-aridrange belt, or a semi-moist mountain rangeland Due to lack of scientific manage-ment policy as well as neglecting the ecological cycle of resource replenishment,     

多元代数方程组解的重数的计算

本文利用多项式理想对偶基的理论给出了当代数方程组只有孤立解(即零维理想的零点)时解的重数的一个算法,同时得到了零维理想有重零点的几个判定准则.     

三棱镜折射率测量结果的不确定度评定

根据不确定度的有关概念及具体实验教学模型 ,提出了测量不确定度的简化模式. 结合分光计 测三棱镜折射率的例子 ,进行了具体分析 ,给出了其测量不确定度的最终评定.     

2-氨基嘧啶标准摩尔生成焓的测定

采用量热法,用RBC Ⅱ型精密转动弹完全燃烧2 氨基嘧啶(AP),测定其恒容燃烧热,并根据热化学方程式和盖斯定律计算其标准摩尔燃烧焓ΔcH○———m(AP,s)为(-2334.51±1.62)kJ·mol-1,标准摩尔生成焓ΔfH○———m(AP,s)为(-45.90±1.70)kJ·mol-1,为进一步研究嘧啶类化合物的性质提供了理论基础.     

再论Γ-环由元素性质确定的根

本文在 Γ-环中继续研究由元素性质确定的根性质 .首先证明了文献 [1]中主要定理的逆定理 , 从而使满足某些条件的元素所具有的性质 P与根性质 R可互相确定 .进而讨论确定的唯一性问题.利用 这些结果可得出 Γ-环的 Baer根是由元素的 m-幂零性所确定的根.     

Banach空间的凸性模与光滑模

定义了TC凸性模，TC光滑模，刻划了一致凸性与一致光滑性，并研究了取值于Banach空间的特殊鞅不等式与一致凸性，一致光滑性的关系。     

一类中立型拟线性抛物方程组解的振动性

针对垂直相加法无法讨论泛函偏微分方程组的强迫振动性的不足，直接利用振动的定义、Green公式以及齐次Neumann边界条件把中立型抛物微分方程组的振动问题转化为泛函微分不等式不存存最终正解的问题，然后利用最终正解的定义及上下极限得到了在齐次Neumann边界条件下判别其所有解振动或全振动的充分条件。     

图书质量评估定量分析探讨

本文应用数量化理论———成对比较、九级分制和相关分析法,探讨了图书质量评估的问题, 为今后的 图书质量评估实践提供了一些理论依据     

声屏障衍射声场的近似计算

本文利用Huygens-Fresnel原理和Kirchoff近似理论,研究了声波通过屏障后的衍射声场,导出计算衍射声场的声压和声屏障插入损失的近似公式。计算表明,理论值和实验值基本一致。本文所提供的公式可以作为在噪声控制技术中预测声屏障衍射声场的一种方法。     

丙酮水溶液溴化反应机理的研究

本文用CNDO/2计算了水、甲醇、甲醛、丙酮与异丙醇阳碳离子的选择性分子间作用力,并讨论了丙酮溴化反应的反应机理。     

条件密度函数双重核估计的精确度的随机测度的收敛性

度量条件密度函数f(ylx)的双重核估计fn(川x)的精确度的量为平均积分均方误差(MISE>，由于MISS的计算是十分困难的我们采用积分均方差误Ap(ISE)和平均均方误差1}(ASE)作为MZSE的估计量，本文在一定条件下，得到Ap和I:与MISE(二EI)之间的关系