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2.
A graphG is embeddable in its complement
ifG is isomorphic with a subgraph of
. A complete characterization is given of those (p,p−1) graphs which are embeddable in their complements. In particular, letG be a (p,p−1) graph wherep≧6 ifp is even andp≧9 ifp is odd; thenG is embeddable in
if and only ifG is neither the starK
1,p−1 norK
1,n
∪C
3 withn≧4. 相似文献
3.
Abelian relative difference sets of parameters (m, n, k, )=(p
a
, p, p
a
, p
a–1
)are studied in this paper. In particular, we show that for an abelian groupG of orderp
2c+1
and a subgroupN ofG of orderp, a (p
2c
, p, p
2c
, p
2c–1
)-relative difference set exists inG relative toN if and only if exp (G)p
c+1
.Furthermore, we have some structural results on (p
2c
p, p
2c
, p
2c–1
)-relative difference sets in abelian groups of exponentp
c+1
. We also show that for an abelian groupG of order 22c+2 and a subgroupN ofG of order 2, a (22c+1, 2, 22c+1, 22c
)-relative difference set exists inG relative toN if and only if exp(G)2
c+2 andN is contained in a cyclic subgroup ofG of order 4. New constructions of (p
2c+1
, p, p
2c+1
, p
2c
)-relative difference sets, wherep is an odd prime, are given. However, we cannot find the necessary and sufficient condition for this case. 相似文献
4.
5.
§ 1. Introduction Let(M ,T)beasmoothinvolutiononasmoothclosedmanifold ,andFdenotesthefixedpointsetof (M ,T) .WhenF =RP( 2k) ,RP(m)∪RP(n) ,∪RP( 2l+ 1 ) (lfixed) ,∪pi =1 RP( 2li+ 1 ) ,∪ri =1 (S1 ) ki ,(Sn1 ×Sn2 ×… ×Snp)∪ {pt},etc .,theexistenceandtherepresentative (uptobordism)of(M ,T)havebeenstudiedin [2 ],[3],[5 ],[6],[7]and[8].Thepurposeofthepaperistodeterminetheexistenceandtherepretentativeuptobord ismofallinvolutionsfixingthelensspaceL1 ( p) ,whereL1 ( p)isa 3 dimens… 相似文献
6.
Jocelino Sato 《Annals of Global Analysis and Geometry》2002,22(2):135-153
Equivariant geometry methods are used to study and classify zero scalarcurvature O(p + 1) × O(p + 1)-invariant hypersurfaces in 2p + 2with p > 1. First of all the O(p + 1) × O(p + 1)-invariant hypersurfaces are classified according to their profile curves, and it is shown that there are complete and embedded examples. Next the Morse index of the complete examples is studied, in particular, it is proved that there exist globally stable examples.These stable examples provide counter-examples, in odddimensions greater than or equal to nine, to a Bernstein-type conjecture in the stable class, for immersions with zero scalar curvature. 相似文献
7.
Let p(z)=be a polynomial degree n and let Then accord-ing to Bernstein's inequality ||p'||相似文献
8.
此乃数论中之一重要定理,是由Euler在1737年获得的。其证明是从所谓的Euler恒等式出发得到的,证法可参阅[1]。 虽然Euler的证明是相当简洁的,但是后来又出 相似文献
9.
Song-Ying Li 《Integral Equations and Operator Theory》1992,15(5):807-824
LetB
n
be the unit ball inC
n
,S is the boundary ofB
n
. We letL
p
(S) denote the usual Lebesgue spaces overS with respect to the normalized surface measure,H
p
(B
n
) is its usua holomorphic subspace.H
p
(S) denotes the atomic Hardy spaces defined in [GL]. LetPL
2
(S)H
2(B
n
) denote the orthogonal projection. For eachfL
(S), we useM
f
L
p
(S)L
p
(S) to denote the multiplication operator, and we define the Toeplitz operatorT
f
=PM
f
. The paper gives a characterization theorem onf such that the Toeplitz operatorsT
f
and
are bounded fromH
p
(S)H
p
(B
n
) with 0<p1. Also several equivalent conditions are given. 相似文献
10.
透镜空间L~1(p)上向量丛的示性类 总被引:1,自引:1,他引:0
本文讨论了透镜空间 L1( p)的上同调环中生成元的运算性质 ,进而利用 L1( p)的 KO -结构得到了L1( p)上任一向量丛的全 Stiefel-Whitney类 相似文献
11.
对奇素数p构造一类生成正交阵列(2p~2,2p 1,p,2)的差集 总被引:1,自引:1,他引:0
自从正交设计在工农业生产的科学实验中普及推广以来,许多单位和个人对正交阵列即正交表的构造颇感兴趣。其中尤其引起人们注意的是正交表L_(18)(3~7)和L_(50)(5~(11))等的构造。构造这类正交表,确实相当复杂,有的用代数方法,例如Addelman-Kempthorne;有的用数论方法,例如Masuyama,而且具体地编造一个表,还需要做大量的计算。 相似文献
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14.
15.
那啟元 《数学年刊B辑(英文版)》1990,(4)
Some characterizations of the conditional expectation operators on Lebesgue-Bochnerspaces L_p(μ,X)are given,where 1≤p<∞,p≠2.Also an example is given to show thatthe characterizations of the conditional expectation operators on L_p(μ,X)are differentfrom that on L_p(μ)_z Finally,a representation of the constant-preserving contractiveprojection on spaces L_p(μ,X)is got when 0
相似文献
16.
Positivity - The Banach sequence spaces ces(p) are generated in a specified way via the classical spaces $$ \ell _p, 1< p < \infty .$$ For each pair $$ 1< p,q < \infty... 相似文献
17.
设Q为有理数域,令ψ为由奇素数p生成的有理数域Q的p-adic赋值,R为与其相对应的赋值环,(p)为R的极大理想(素理想).本文用扩张平移的方法讨论了素理想(p)在Q的lm次根扩张Q(μl1/m)(μ∈R)中的分解问题,并完全解决了该问题. 相似文献
18.
包装{(p,p-1),(p,p)}图对和 Slater 问题 总被引:2,自引:0,他引:2
设 G 是一个简单无向图.V(G),E(G)分别表示 G 的顶点集和边集.(?)表示 G 的补图.我们以 S_(?) 表示 n 1阶星图 k_(1,n-1).称 G 是(p,p—k)图,如果|E(G)|=|V(G)|—k.称|V(G)|为图 G 的阶.设 G_1,G_2是同阶图,(?)_1是 V(G_1)到 V(G_2)的一个双射,(?)_2是 V(G_2)上的一个置换,我们用(?)_2(?)_1表示 V(G_1)到 V(G_2)的双射,其作用为 相似文献
19.
姚正安 《数学物理学报(A辑)》1992,(Z1)
假定w=(w_1,w_2,…,w_n,…)∈c_0-l_1,且1=w_1≥w_2≥…≥0. 记π是所有关于自然数排列的集合。若σ∈π,对数列β=(b_i)令‖β‖_(σ,p)=sum from i=1 to ∞(|b_((σ i))|~pw_i)。 由此我们有 相似文献