共查询到20条相似文献,搜索用时 15 毫秒
1.
In this note we prove that every two-dimensional entire Willmore graph in R 3 with square integrable mean curvature is a plane. 相似文献
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设G=(V, E; w)为赋权图,定义G中点v的权度dGw(v)为G中与v相关联的所有边的权和.该文证明了下述定理: 假设G为满足下列条件的2 -连通赋权图: (i) 对G中任何导出路xyz都有w(xy)=w(yz); (ii)对G中每一个与K1,3或K1,3+e同构的导出子图T, T中所有边的权都相等并且min{max{dGw(x), dwG(y)}:d(x,y)=2,x,y∈ V(T)}≥ c/2. 那么, G中存在哈密尔顿圈或者存在权和至少为 c 的圈. 该结论分别推广了Fan[5], Bedrossian等人[2]和Zhang等人[7]的相关定理 相似文献
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Let k be a non-negative integer. Suppose that f and g are nonconstantentire functions and that a and b (b a(k) are small functionsrelated to f and g such that (a,f) + (a, g) > 1. Iff(k) b and gk b assume the same zeros with the same multiplicities,then f g unless (f a(k))(g(k) a(k)) = (b a(K))2. The problem is related to C. C. Yang's question. A correspondingresult was proved for the case where a 0, b 1, k 1 and theorder of f and g is finite. 相似文献
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In this paper we prove a Bernstein type theorem for the Abreu equation on a complete Riemannian manifold (M,G *). Using this theorem and affine blow-up analysis we obtain interior estimates for the Abreu equation. 相似文献
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对于Hamiltonian极小和具有共形Maslov形式的Lagrangian图,建立了Bernstein型的定理,推广了已知关于极小Lagrangian子流形的一些结果. 相似文献
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Coifman Ronald R. Marshall Nicholas F. Steinerberger Stefan 《Foundations of Computational Mathematics》2023,23(2):493-517
Foundations of Computational Mathematics - Let $${mathcal {G}} = {G_1 = (V, E_1), ldots , G_m = (V, E_m)}$$ be a collection of m graphs defined on a common set of vertices V but with different... 相似文献
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图G称为弱泛圈图是指G包含了每个长为t(g(V)≤l≤c(G))的圈,其中g(G),c(v)分别是G的围长与周长.1997年Brandt提出以下猜想:边数大于[n2/4]-n 5的n阶非二部图为弱泛圈图.1999年Bollobas和Thomason证明了边数不小于[n2/4]-n 59的n阶非二部图为弱泛圈图.作者证明了如下结论:设G是n阶Hamilton非二部图,若G的边数不小于[n2/4]-n 12,则G为弱泛圈图. 相似文献
8.
Dirac定理的局部化与Hamilton图 总被引:4,自引:0,他引:4
设G为一个n阶2-连通图,n≥3.若|Dn/2(K1,3)|≥2且满足下述条件之一:i)|Dn/2(K1,3+e)|≥2,ii)若K1,3+e→G,xy(?)E(K1,3+e),则max{dG(x),dG(y)}≥n/2,则G是一个Hamiltonian图或其闭包为sP|⊕H,这里sP⊕H是一类极小2-边连通图. 相似文献
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We introduce a special decomposition, the so-called split-minors, of the reduced clique graphs of chordal graphs. Using this notion, we characterize asteroidal sets in chordal graphs and clique trees with minimum number of leaves. 相似文献
12.
Zhi-Hong Chen 《Graphs and Combinatorics》2016,32(2):553-558
The cyclability of a graph H, denoted by C(H), is the largest integer r such that H has a cycle through any r vertices. For a claw-free graph H, by Ryjá?ek (J Comb Theory Ser B 70:217–224, 1997) closure concept, there is a \(K_3\)-free graph G such that the closure \(cl(H)=L(G)\). In this note, we prove that for a 3-connected claw-free graph H with its closure \(cl(H)=L(G)\), \(C(H)\ge 12\) if and only if G can not be contracted to the Petersen graph in such a way that each vertex in P is obtained by contracting a nontrivial connected \(K_3\)-free subgraph. This is an improvement of the main result in Györi and Plummer (Stud Sci Math Hung 38:233–244, 2001). 相似文献
13.
Jaeyoung ChungSoon-Yeong Chung Dohan Kim 《Journal of Mathematical Analysis and Applications》2002,265(1):217-228
Applying the theory of generalized functions we obtain the Shannon sampling theorem for entire functions F(z) of exponential growth and give its error estimate which shows how much the error depends on the sampling size and bandwidth for given domain of the signal F(z). As an application we obtain a uniqueness theorem for entire functions and temperature functions. 相似文献
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The Entire Coloring of Series-Parallel Graphs 总被引:2,自引:0,他引:2
Jian-liangWu Yu-liangWu 《应用数学学报(英文版)》2005,21(1):61-66
The entire chromatic number X_(vef)(G) of a plane graph G is the minimal number of colors needed for coloring vertices, edges and faces of G such that no two adjacent or incident elements are of the same color. Let G be a series-parallel plane graph, that is, a plane graph which contains no subgraphs homeomorphic to K_(4-) It is proved in this paper that X_(vef)(G)≤max{8, △(G) 2} and X_(vef)(G)=△ 1 if G is 2-connected and △(G)≥6. 相似文献
17.
George A. Anastassiou Razvan A. Mezei 《Journal of Mathematical Analysis and Applications》2010,366(2):525-529
In this article we continue with the study of approximation properties of smooth Poisson-Cauchy Type singular integral operators over the real line. We produce Voronovskaya Type results and give some quantitative results regarding the rate of convergence of these singular integral operators. 相似文献
18.
Thomas[1] established a genralization of the OrliczPettis theorem as follows: Let Ω be a compact Hausdorff space and X a normed space. If a series ∑fj in C(Ω,X) is subseries convergent in the topology of pointwise convergence on Ω, then ∑fj is also subseries convergent in the topology of uniform convergence on Ω. Note that ∑fj is subseries convergent in the topology of pointwise (resp., uniform) convergence on Ω means that for every (tj)∈{0,1}N, there is an f∈C(Ω,X) such that … 相似文献
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Periodica Mathematica Hungarica - 相似文献