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1.
The cycle length distribution of a graph G of order n is a sequence (c1 (G),…, cn (G)), where ci (G) is the number of cycles of length i in G. In general, the graphs with cycle length distribution (c1(G) ,…,cn(G)) are not unique. A graph G is determined by its cycle length distribution if the graph with cycle length distribution (c1 (G),…, cn (G)) is unique. Let Kn,n+r be a complete bipartite graph and A lohtaib in E(Kn,n+r). In this paper, we obtain: Let s 〉 1 be an integer. (1) If r = 2s, n 〉 s(s - 1) + 2|A|, then Kn,n+r - A (A lohtain in E(Kn,n+r),|A| ≤ 3) is determined by its cycle length distribution; (2) If r = 2s + 1,n 〉 s^2 + 2|A|, Kn,n+r - A (A lohtain in E(Kn,n+r), |A| ≤3) is determined by its cycle length distribution. 相似文献
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题目1(2009江西卷理)设函数f(s)=√ax2+bx+c(a〈0)的定义域为D,若所有点(s,f(t))(s,t∈D)构成一个正方形区域,则a的值为( ) 相似文献
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题目设n、b、c为正实数,证明:(2a+b+c)^2/2a^2+(b+c)^2+(2b+a+c)^2/ab^2+(a+c)^2+(2c+a+b)^2/2c^2+(a+b)^2这是第32届美国数学奥林匹克试题,文[1]给出了该问题的一种证明方法,本文再给出另一种证明方法,并把它加以推广. 相似文献
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第5题 设α,b,c是正实数,证明:(α^5-α^2+3)(b^5-b^2+3)(c^5-c^2+3)≥(α+b+c)^3 (1) 文[2]将(1)推广为: 相似文献
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对如下一道日本数学奥林匹克试题:
问题1已知a,b,c〉0,求证:(b+c-a)^2/(b=c)^2+a^2+(c+a-b)^2/(c+a)^2+b^2+(a+b-c)^2/(a+b)^2+c^2≥3/5. 相似文献
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题目 已知a,b,c是正实数,证明:
(2a+b+c)^2/2a^2+(b+c)^2+(2b+c+a)^2/2b^2+(c+a)^2+(2c+a+b)^2/2c^2+(a+b)^2≤8 ①
这是2003年美国数学奥林匹克竞赛第五题,文[1]及文[2]分别用不同的方法对该题目作出精彩的证明,本文利用“变量标准化”方法给出该竞赛题的别证. 相似文献
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贵刊文[1]介绍了俄罗斯杂志《中学数学》刊登的一组不等式,其中之一是下面的瓦西列夫不等式:
设a,b,c〉0,且a+b+c=1,则
a^2+b/b+c+b^2+c/c+a+c^2+a/a+b≥2 (1) 相似文献
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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
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《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
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《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
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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
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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
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《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
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《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
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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