共查询到20条相似文献,搜索用时 453 毫秒
1.
2.
《中国科学:数学》2016,(8)
设G是一个n阶的简单连通图,符号(d_1,d_2,...,d_n)表示G的度序列,其中d_1≥d_2≥···≥d_n,用符号?(G)表示G的最大度,而符号λ(G)表示G的Laplace谱半径.一个c-圈图是一个恰有n+c-1条边的n阶简单连通图,而符号C(n,?;c)表示最大度等于?的所有n阶c-圈图的集合.本文确定了当0≤c≤1/2(?-1)(?-2)时,C(n,?;c)中所有取得最小Laplace谱半径的极图,并分别确定了当?≥[n+2/3]且d_4≥2或?≥[n/3]+1且d_4=1时,C(n,?;1)中唯一取得最大Laplace谱半径的极图.进一步地,还证明了对于两个n阶的单圈图G和G′,如果?(G)≥[11n/30]+2且?(G)?(G′),则λ(G)λ(G′),并且界"[11n/30]+2"是最佳的. 相似文献
3.
4.
设λ是图G的一个特征值,如果存在属于λ的一个特征向量X=(x_1,x_2,…,x_n)~T,使得(?)x_i≠0,则λ称为图G的主特征值.将恰有两个主特征值的一个充要条件做了进一步推广,并在此基础上给出恰有两个主特征值的图的一些性质以及恰有两个主特征值的图的一些运算结果. 相似文献
5.
6.
《数学进展》2015,(1)
设G=(V_1,V_2,E)是一个均衡二部图满足|V_1|=|V_2|=n.令δ_(1,1)(G)=min{d(x)+d(y)|x∈V_1,Y∈V_2}.Amar猜想对任意的s个整数(n_1,n_2,…,n_s),n=n_1+n_2+…+n_s,其中n_i≥2.若δ_(1,1)(G)≥n+s,则G含s个点不交的圈,其长分别为2n_1,2n_2,…,2n_s(见[Discrete Math.,1986,58(1):1-10]).本文证明了若一个点数为4k的均衡二部图G满足δ_(1,1)(G)≥2k+4(k≥3),则G含k-3个4-圈和2个6-圈使得所有这些圈都是点不交的. 相似文献
8.
设P(G,λ)是图的色多项式。如果对任意使P(G,λ)=P(H,λ)的图H都与G同构,则称图G是色唯一图.这里通过比较t 1色类的色划分数目,讨论了由Koh和Teo在文献[1]中提出的问题(若|ni-nj|≤2,当min(n1,n2,…,nt)充分大时,完全t部图K(n1,n2,…,nt)是否是色唯一图?)。改进了文献[5]中的结果。证明了若Σ1≤i≤ta2i=T,min{n a1,n a2,…,nt at,n-1}≥(T 1)/2,则K(n a1,n a2,…,n at)是色唯一图(其中ai是实数,n ai是正整数)。从而证明了若|ni-nj|≤k(i,j=1,2,…,t),min{n1,n2,…,nt}≥tk2/8 1,则K(n1,n2,…,nt)是色唯一图。 相似文献
9.
关于图中子图的(n,k)—正交因子分解 总被引:1,自引:0,他引:1
设G是一个具有顶点集V(G)和边集E(G)的图.
设g和f是定义在V(G)上的两个整数值函数,使得g(x)f(x)对所有的点x∈V(G)都成立.如果G是一个(mg+n,mf-n)-图,1n<m2k,且g(x)2k-1对所有的点x∈V(G)都成立,则对任意给定具有|E(H)|=nk边的G的子图H,存在G的一个子图G′使G′有一个(g,f)-因子分解(n,k)-正交H. 相似文献
10.
λKn(t)是一个λ重完全多部图,G为一个不带孤立点的简单图.所谓的图设计G-HDλ(tn)是一个序偶(X,B),其中X是Kn(t)的顶点集,B为λKn(t)的一些子图(亦称为区组)构成的集合,使得任一区组均与图G同构,且λKn(t)的任意2个不同点组成的边恰在B的λ个区组中出现.本文讨论了G=K2,3的完全多部图设计存在性问题,证明了存在G-HDλ(tn)当且仅当λn(n-1)t2≡0(mod12),n≥2,nt≥5且(n,,λt)≠(9,1,1),(12,1,1),(3,1,2),(4,1,2). 相似文献
11.
Kunyang Wang Feng Dai 《分析论及其应用》2007,23(1):50-63
As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years (2001-2005). The main topics are: convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths. 相似文献
12.
《数学学报(英文版)》2014,(10)
<正>Submission Authors must use LaTeX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China. 相似文献
13.
14.
《运筹学学报》2014,(3)
正August 10-14,2015Beijin,China The International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists 相似文献
15.
Yuxian Zheng 《分析论及其应用》2006,22(2):136-140
In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p(R^n) into the Lebesgue space L^p with p 〈 1. 相似文献
16.
H. H. Cuenya M.D. Lorenzo C. N. Rodriguez 《分析论及其应用》2007,23(2):162-170
In this paper we study best local quasi-rational approximation and best local approximation from finite dimensional subspaces of vectorial functions of several variables. Our approach extends and unifies several problems concerning best local multi-point approximation in different norms. 相似文献
17.
《中国科学 数学(英文版)》2014,(8)
<正>May 26,2014,Beijing Science is a human enterprise in the pursuit of knowledge.The scientific revolution that occurred in the 17th Century initiated the advances of modern science.The scientific knowledge system created by 相似文献
18.
19.
《计算数学》2014,(2)
<正>August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists 相似文献
20.
W.M.Shah A.Liman 《分析论及其应用》2004,20(1):16-27
Let P(z)=∑↓j=0↑n ajx^j be a polynomial of degree n. In this paper we prove a more general result which interalia improves upon the bounds of a class of polynomials. We also prove a result which includes some extensions and generalizations of Enestrǒm-Kakeya theorem. 相似文献