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针对虚拟网映射算法环境适应度低、拓扑关联性较差且映射开销较大的问题,该文提出一种环境自适应的拓扑联合感知虚拟网映射算法。首先提出一种加权相对熵排序方法对具有多指标的节点进行量化处理,依环境变化赋予节点指标不同的权值;在虚拟节点排序阶段采用加权相对熵和广度优先搜索算法双重排序,物理节点排序中引入就近度与加权相对熵算法配合使用,实现了对虚拟拓扑和物理拓扑的联合感知;最后利用k-最短路径算法完成虚拟链路...
In this paper we use the Morse theory of the Yang-Mills-Higgs functional on the singular space of Higgs bundles on Riemann surfaces to compute the equivariant cohomology of the space of semistable U(2...
拓扑空间中几类紧性的非标准刻画     拓扑  单子  紧性  非标准       font style='font-size:12px;'> 2012/11/26
利用非标准分析理论,对拓扑中的紧性、相对紧、局部紧性进行非标准刻画,简化原有证明,使它们的本质性质更为清晰,使拓扑学在理论上更加深刻.
几乎周期点稠密系统的拓扑遍历性     几乎周期点  传递  拓扑遍历性       font style='font-size:12px;'> 2012/11/26
在极小映射的基础上构造了几乎周期点稠密系统,并运用拓扑传递性与稠密性研究了几乎周期点稠密系统与Li-Yorke混沌的关系,证明了几乎周期点稠密系统在一定条件下是拓扑遍历的.这样,建立起了几乎周期点稠密系统与拓扑遍历性的联系,对进一步了解几乎周期点稠密系统测度中心的性质有一定的启示作用.
For a non-isolated point x of a topological space X let nw(x) be the smallest cardinality of a family N of infinite subsets of X such that each neighborhood O(x)  X of x contains a set N 2 N.
We extend the well-known Borromean and Brunnian rings to new higher order versions. Then we suggest an extension of the connection between E mov states in cold gases and Borromean and Brunnian rings t...
Topological expanders     Topological expanders       font style='font-size:12px;'> 2011/2/25
We describe a natural topological generalization of edge expansion for graphs to arbitrary simplicial complexes and prove that this property holds with high probability for certain random complexes.
Even in spaces of formal power series is required a topology in order to legitimate some operations, in particular to compute infinite summations. Many topologies can be exploited for different purpos...
Cubical approximation for directed topology      Cubical approximation  directed topology        font style='font-size:12px;'> 2011/1/17
Topological spaces - such as classifying spaces, configuration spaces and spacetimes - often admit extra temporal structure.
In this paper, using some properties of fundamental groups and covering spaces of connected polyhedra and CW-complexes, we present topological proof for some famous theorems about finitely presented g...
Order-theoretic properties of bases in topological spaces I      Noetherian type  Open in finite  OIF  product  box product       font style='font-size:12px;'> 2011/2/22
We study some cardinal invariants of an order-theoretic fashion on products and box products of topological spaces. In particular, we concen-trate on the Noetherian type (Nt), defined by Peregudov in ...
Topological centers of $n-$th dual of module actions     Arens regularity  bilinear mappings  Topological center  n-th dual       font style='font-size:12px;'> 2011/2/21
In this paper, we will study the topological centers of n−th dual of Banach A−module and we extend some propositions from Lau and ¨Ulger into n−th dual of Banach A−modules wher...
In this paper, using a relationship between the Schur multiplier of a group G, the fundamental group, and the second homology group of the Eilenberg-MacLane space of G, we present new proofs for some ...
In this paper the conditions, under which non-topological solitons are absent in Yang-Mills theory coupled to a non-linear scalar field in Minkowski space, are obtained. It is also shown that non-topo...
We show that, in a model of modi ed gravity based on the spectral action functional, there is a nontrivial coupling between cosmic topology and in ation, in the sense that the shape of the possible sl...

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