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21.
Jos Luis Palacios 《International journal of quantum chemistry》2001,81(2):135-140
We find closed‐form expressions for the resistance, or Kirchhoff index, of certain connected graphs using Foster's theorems, random walks, and the superposition principle. © 2001 John Wiley & Sons, Inc. Int J Quant Chem 81: 135–140, 2001 相似文献
22.
We compute the Euler characteristics of the individual connectedcomponents of the intersection of two opposed big cells in thereal flag variety of type G2, verifying a conjecture of Rietsch[6]. 2000 Mathematical Subject Classification: primary 14M15; secondary20G20. 相似文献
23.
In this paper, we consider the hypersurfaces of Randers space with constant flag curvature. (1) Let (Mn+1, F) be a Randers-Minkowski space. If (Mn, F) is a hypersurface of (Mn+1, F) with constant flag curvature K=1, then we can prove that M is Riemannian. (2) Let (Mn+1, F) be a Randers space with constant flag curvature. Assume (M, F) is a compact hypersurface of (Mn+1, F) with constant mean curvature|H|. Then a pinching theorem is established, which generalizes the result of[Proc. Amer. Math. Soc., 120, 1223-1229 (1994)] from the Riemannian case to the Randers space. 相似文献
24.
A binary relation R does not always possess the desirable property of transitivity. Consequently, this needs to be imposed artificially by deviating
as little as possible from R. In this paper, three approaches to transitive approximation are analyzed within a common distance-based framework: exterior
(transitive closure), interior (openings or maximal transitive sub-relations contained in R) and mixed (transitive fittings) approximation. Additionally, we propose a method for obtaining all these transitive approximations.
The method is based on a distance function optimization framework that leads to straightforward goal programming models. 相似文献
25.
Cai Heng Li 《Journal of Algebraic Combinatorics》2008,28(2):261-270
We characterize the automorphism groups of quasiprimitive 2-arc-transitive graphs of twisted wreath product type. This is
a partial solution for a problem of Praeger regarding quasiprimitive 2-arc transitive graphs. The solution stimulates several
further research problems regarding automorphism groups of edge-transitive Cayley graphs and digraphs.
This work forms part of an ARC grant project and is supported by a QEII Fellowship. 相似文献
26.
For every d and k, we determine the smallest order of a vertex‐transitive graph of degree d and diameter k, and in each such case we show that this order is achieved by a Cayley graph. 相似文献
27.
A classification of connected vertex‐transitive cubic graphs of square‐free order is provided. It is shown that such graphs are well‐characterized metacirculants (including dihedrants, generalized Petersen graphs, Möbius bands), or Tutte's 8‐cage, or graphs arisen from simple groups PSL(2, p). 相似文献
28.
Sanming Zhou 《Journal of Graph Theory》2014,75(1):37-47
Unitary graphs are arc‐transitive graphs with vertices the flags of Hermitian unitals and edges defined by certain elements of the underlying finite fields. They played a significant role in a recent classification of a class of arc‐transitive graphs that admit an automorphism group acting imprimitively on the vertices. In this article, we prove that all unitary graphs are connected of diameter two and girth three. Based on this, we obtain, for any prime power , a lower bound of order on the maximum number of vertices in an arc‐transitive graph of degree and diameter two. 相似文献
29.
Let M be a closed smooth manifold M, and let f : M → M be a diffeomorphism. In this paper, we consider a nontrivial transitive set Λ of f . We show that if f has the C1-stably average shadowing property on Λ, then Λ admits a dominated splitting. 相似文献
30.
本文应用象空间极小维数的方法研究了Cartan型模李超代数HO的非平凡可迁滤过(HO,R)的不变性.应用滤过的不变性得到模李超代数HO的某些内蕴性质,从而得到此类李超代数在同构意义下的分类. 相似文献