n this paper, we consider continuity properties(especially, regularity, also viewed as an approximation property) for $%mathcal{P}_{0}(X)$-valued set multifunctions ($X$ being a linear,topological space), in order to obtain Egoroff and Lusin type theorems forset multifunctions in the Vietoris hypertopology. Some mathematicalapplications are established and several physical implications of thema...

Automatic discovery of physical topology plays a crucial role in enhancing the manageability of modern metro Ethernet networks. Despite the importance of the problem, earlier research and commercial network management tools have typically concentrated on either discovering logical topology, or proprietary solutions targeting specific product families. Recent works have demonstrated that network...

In recent times, for improving the performance of information transmission operating over the ever-challenging wireless medium, cooperative wireless communication has received tremendous interests as an untapped means. For multiple antenna systems, cooperative communication has emerged as a new dimension of diversity to emulate the strategies designed, due to dimension, expenditure, or hardware...

In overlay networks consisting of underlying physical nodes and links, data files are transferred by overlay routing managed at application level. The end-to-end filetransfer delay depends on both logical and physical topologies resulting from overlay routing. In this paper, we focus on six types of four-terminal four-router physical network, and investigate the impact of topology inconsistency...

In this paper, we propose an improvement of the logical topology by using self-reconfiguration protocol in MEMS microrobot networks. Recently, solutions have been given for this problem for a chain of microrobots as a starting physical topology; the advantage of these solutions is that they are distributed protocols without map of the target shape which makes them efficient and scalable. This p...

We describe a novel amplification scheme based on inducing dynamical changes to the topology of a bifurcation diagram of a simple nonlinear dynamical system. We have implemented a first bifurcation-topology amplifier using a coupled pair of parametrically driven high-frequency nanoelectromechanical systems resonators, demonstrating robust small-signal amplification. The principles that underlie...

In this paper we obtain several model structures on DblCat, the category of small double categories. Our model structures have three sources. We first transfer across a categorificationnerve adjunction. Secondly, we view double categories as internal categories in Cat and take as our weak equivalences various internal equivalences defined via Grothendieck topologies. Thirdly, DblCat inherits a ...

We apply a genetic algorithm from Podnar and SkorinKapov [5] to a virtual topology design of a Wide-Area WDM Optical Network with regular topologies. Based on a given physical topology a virtual topology consisting of optical lightpaths is constructed. The objective is to minimize the maximal throughput, which implies balancing link loads and accommodating on-growing traffic requirements in a t...