We present an algorithm in this paper for constructing volumetric domains with consistent topology to parameterize three-manifold solid models having homeomorphic topology. The volumetric parameterizations generated by our approach share the same set of base domains and are constrained by the corresponding anchor points. Our approach allows users to control interior mappings by specifying inter...

We present the Zariski spectrum as an inductively generated basic topology à la Martin-Löf and Sambin. Since we can thus get by without considering powers and radicals, this simplifies the presentation as a formal topology initiated by Sigstam. Our treatment includes closed and open subspaces: that is, quotients and localisations. All the effective objects under consideration are introduced by ...

A significant part of the Internet traffic today is generated by peer-to-peer (P2P) applications used originally for file sharing, and more recently for real-time communications and live media streaming. Such applications discover a route to each other through an overlay network with little knowledge of the underlying network topology. As a result, they may choose peers based on information ded...

The Self-Organizing Map (SOM) is a powerful tool in the exploratory phase of data mining. However, due to the dimensional conflict, the neighborhood preservation cannot always lead to perfect topology preservation. In this paper, we establish an Expanding SOM (ESOM) to detect and preserve better topology correspondence between the two spaces. Our experiment results demonstrate that the ESOM con...

Effective engineering of the Internet is predicated upon a detailed understanding of issues such as the large-scale structure of its underlying physical topology, the manner in which it evolves over time, and the way in which its constituent components contribute to its overall function. Unfortunately, developing a deep understanding of these issues has proven to be a challenging task, since it...

The last decade has witnessed a resurgence of interest in Cartesian mesh methods for CFD. In contrast to body-fitted structured or unstructured methods, Cartesian grids are inherently non-body-fitted; i.e. the volume mesh structure is independent of the surface discretization and topology. This characteristic promotes extensive automation, dramatically eases the burden of surface preparation, a...

To preserve network connectivity is an important issue especially in wireless ad hoc and sensor networks (WASN), where wireless links are easy to be disturbed and tiny sensors are very easy to fail accidently. Therefore, it is necessary to design a fault-tolerant network. A feasible method is to construct a k-connected (k-vertex connected) topology. In this paper, we consider k-connectivity of ...

This paper presents a brief summary of the given article. An introduction to the subject of topology control in sensor networks is presented. The paper presents two methods for generating algorithms for topology control with minimization objectives in mind. The paper also shows how some previously developed algorithms can be generated using these methods as well. In general, these methods are f...

Using over 75 mus of molecular dynamics simulation, we have generated several thousand folding simulations of the 20-residue Trp cage at experimental temperature and solvent viscosity. A total of 116 independent folding simulations reach RMSDcalpha values below 3 A RMSDcalpha, some as close as 1.4 A RMSDcalpha. We estimate a folding time of 5.5+/-3.5 mus, a rate that is in reasonable agreement ...

Complex structures are determined for surfaces with S 2 and T 2 topologies generated by the dynamical triangulation method. For a surface with S 2 topology the spacial distribution of the conformal mode is obtained, while for the case of T 2 topology the distribution of the moduli parameter is calculated. It is also shown that the network of Feynman diagrams of massive φ 3 scalar theory has a u...