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1.
Guantao Chen Ralph J. Faudree Ronald J. Gould Michael S. Jacobson Linda Lesniak 《Graphs and Combinatorics》1995,11(3):221-231
One of the earliest results about hamiltonian graphs was given by Dirac. He showed that if a graphG has orderp and minimum degree at least
thenG is hamiltonian. Moon and Moser showed that a balanced bipartite graph (the two partite sets have the same order)G has orderp and minimum degree more than
thenG is hamiltonian. In this paper, their idea is generalized tok-partite graphs and the following result is obtained: LetG be a balancedk-partite graph with orderp = kn. If the minimum degree
\left\{ {\begin{array}{*{20}c} {\left( {\frac{k}{2} - \frac{1}{{k + 1}}} \right)n if k is odd } \\ {\left( {\frac{k}{2} - \frac{2}{{k + 2}}} \right)n if k is even} \\ \end{array} } \right.$$
" align="middle" vspace="20%" border="0"> 相似文献
2.
A graph G with p vertices and q edges, vertex set V(G) and edge set E(G), is said to be super vertex-graceful (in short SVG), if there exists a function pair (f, f
+) where f is a bijection from V(G) onto P, f
+ is a bijection from E(G) onto Q, f
+((u, v)) = f(u) + f(v) for any (u, v) ∈ E(G),
3.
We consider the weighted Hardy integral operatorT:L
2(a, b) →L
2(a, b), −∞≤a<b≤∞, defined by
. In [EEH1] and [EEH2], under certain conditions onu andv, upper and lower estimates and asymptotic results were obtained for the approximation numbersa
n(T) ofT. In this paper, we show that under suitable conditions onu andv,
where ∥w∥p=(∫
a
b
|w(t)|p
dt)1/p.
Research supported by NSERC, grant A4021.
Research supported by grant No. 201/98/P017 of the Grant Agency of the Czech Republic. 相似文献
4.
J. J. Blair 《Numerische Mathematik》1972,19(2):99-109
Letu be the solution of the differential equationLu(x)=f(x, u(x)) forx(0,1) (with appropriate boundary conditions), whereL is an elliptic differential operator. Letû be the Galerkin approximation tou with polynomial spline trial functions. We obtain error bounds of the form
, where 0jm andmk2m+q,p=2 orp=,h is the mesh size andq is a non negative integer depending on the splines being used.This research was supported in part by the Office of Naval Research under Contract N00014-69-A0200-1017. 相似文献
5.
И. Н. Пак 《Analysis Mathematica》1990,16(1):57-64
We generalize and sharpen certain results concerning Fourier series from the Lipschitz class. In particular, for
sinnx we prove the following: Let ¦bn¦n–2L(n) where L(x) is a continuous and slowly oscillating function. Then
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