1) homogeneous graph
齐次图
1.
A complete classification of 1-homogeneous graphs;
一种1-齐次图的完全分类
2.
A classification of 1-homogeneous graphs of diameter d and valency k is given,which satisfy the following two properties:(i)Di+1i(u,ν) is a clique for each edge uν.
本文对满足条件(1)对Γ中任意一边uν,Dii+1(u,ν)是团,和条件(2)对某个整数i(1齐次图Γ进行了完全分类。
3.
If c_(r+1) = 4, then a(r+1) = 4, d = r + s + 1 and c_d = 5, in this case Γ is a 1-homogeneous graph.
则 ●如果c_(r+1)=4,则α_(r+1)=4,d=r+s+1,c_d=5,此时Γ是1-齐次图。
2) homogeneous diophantine equation
齐次丢番图方程
3) 8-homogeneous bipartite graph
8-齐次二分图
4) homogenous
[英][hə'mɔdʒənəs] [美][hə'mɑdʒənəs]
齐次
1.
First,the determinant is regarded as a function of or- der n and denoted by D(n);Second,the determinant is expanded by row or by column,then the relation in both of D(n)and subdeterminants will be examined in details to set up certain a recursion,generally speaking,it must be a homogenous or a nonhomogenous recursion;fi- nally the coefficients of the general solution are found out with the aid.
给出了用递归关系方法求任意 n 阶行列式的值的一般方法:首先,把已知的 n 阶行列式看作为阶数 n 的一个函数,记为 D(n);其次,按行或按列展开这个行列式,并仔细观察存在于余子式及 D(n)里的关系,建立关于 D(n)的某一递归关系,此关系总为一个齐次的或非齐次的递归关系;最后,借助于 D(0)、D(1)和D(2)等求出递归关系的通解的系数。
5) homogeneous
[英][,hɔmə'dʒi:niəs] [美]['homə'dʒinɪəs]
齐次
1.
Oscillatory behavior of solutions of a class of second order nonlinear homogeneous differential equation;
一类二阶齐次微分方程解的振动性
2.
The necessary and sufficient condition of separation for homogeneous Scalar Helmholtz equation is both the existence of Stackel determinant and h 1h 2h 3S=f 1(μ 1)f 2(μ 2)f 3(μ 3)in orthogonal curvilinear coordinates system.
讨论了在正交曲面坐标系中齐次标量Ｈｅｌｍｈｏｌｔｚ 方程变量分离的充要条件是Ｓｔａｃｋｅｌ行列式存在且ｈ１ｈ２ｈ３Ｓ ＝ ｆ１（μ１）ｆ２（μ２）ｆ３（μ３） 成立。
3.
The existence and uniqueness of homogeneous elliptic polyharmonic cardinal spline interpolation are proved, the remainder formula and order of approximation in LP(Rd) (1≤p≤∞)spaces are given, and the extremal problem of sobolev dass in L2(Rd) is considered.
获得Rd上齐次椭圆型Cardinal样条插值的存在唯一性，并获得Sobolev类上的函数在Lp（Rd）（1≤p≤∞）尺度下的插值误差估计，以及Sobolev类在L2（Rd）尺度下的一些极值问题的解；拓广了Laplace型的结果。
补充资料：图的减缩图(或称图子式)
图的减缩图(或称图子式)
minor of a graph
图的减缩图(或称图子式)【.皿以ofa脚户;MHHoPrpa中a」【补注】设G是一个图(graph)(可以有环及多重边).G的一个减缩图(nullor)是从G中接连进行下述运算而得的任何一个图: i)删去一条边; 五)收缩一条边; 说)去掉一个孤立顶点. NRobe由on与P.D.Se脚aour的图减缩定理(脚Ph nl的。r theon习11)如下所述:已知有限图的无穷序列G，，GZ，…，则存在指标i
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条