Knowledge of the up-to-date physical topology of an IP network is crucial to a number of critical network management tasks, including reactive and proactive resource management, event correlation, and root-cause analysis. Given the dynamic nature of today’s IP networks, keeping track of topology information manually is a daunting (if not impossible) task. Thus, effective algorithms for automati...

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...

This paper reviews the problem of topology control with the model of UnitDisk Graph. We looked at the existing protocols and divided them into physical layer, which deals with range assignment problem and logical layer, which deals with link pruning. We observed that new metrics can be developed to enhance physical topology control, and noted that dynamic solutions including probabilistic broad...

Beginning with G.W. Leibniz in the 17, L. Euler in the 18, B. Reimann, J.B. Listing and A.F. Möbius in the 19 and H. Poincaré in the 20 centuries, “analysis situs” (Riemann) or “topology” (Listing) has been used to provide answers to questions concerning what is most fundamental in physical explanation. That question itself implies the question concerning what mathematical structures one uses w...

The emerging peer-to-peer (P2P) model has gained significant attention due to its many unique features in supporting file sharing among a huge number of networked users. However, the mechanism of peers randomly choosing logical neighbors without any knowledge about underlying physical topology can cause a serious topology mismatching between the P2P overlay network and the physical underlying n...

Cooperative communication has received tremendous interest for wireless networks. Most existing works on cooperative communications are focused on link-level physical layer issues. Consequently, the impacts of cooperative communications on network-level upper layer issues, such as topology control, routing and network capacity, are largely ignored. In this article, we propose a Capacity-Optimiz...