Network Design Assignment

Network Design Assignment-65
IJMNDI addresses state-of-the-art computerisation for the deployment and operation of current and future wireless networks.

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IJMNDI seeks to foster international exchange of ideas and experiences among researchers, educators and professionals in the field, on a global scale.

It also serves as a venue for articles evaluating the state of the art of computer applications in this area.

The main results also apply to a class of weighted and directed networks and are thus relevant to assess the effect of nonuniform connection weights on the synchronization of real-world networks [13].

The proposed method for network design is based on a relation between the eigenvalues of a substrate network that incorporates the structural constraints imposed on the system and those of weighted versions of the same network.

This method is thus complementary to other recently proposed approaches for identifying [14]–[16] or constructing [17]–[19] networks with desired dynamical properties. In section 2, I define the class of networks to be considered and announce the main result on the eigenvalue bounds, which is proved in the appendix.

In section 3, I discuss an eigenvalue approach to the study of network synchronization.The results are illustrated using synchronization phenomena as a model process.Complex dynamical systems are high dimensional in nature.The problem of network design and the impact of the network structure on dynamics are considered in sections 4 and 5, respectively.Concluding remarks are incorporated in the last section.Characteristically, high performance, innovative techniques are required to address computationally-intensive radio engineering planning problems while providing optimised solutions and knowledge which will enhance the deployment and operation of expensive wireless resources.This requires contributions from several disciplines. IJMNDI's objective is to found, develop and promote a cutting edge arena for the emergent field of intelligent computerised wireless network design and management.By deriving a general relation between the eigenvalues of weighted and unweighted networks, here I show that for a wide class of networks the dynamical behaviour is tightly bounded by few network parameters.This result provides rigorous conditions for the design of networks with predefined dynamical properties and for the structural control of physical processes in complex systems.These bounds are in many aspects different from those known in the literature of graph spectral theory [12] and are suitable to relate the physically observable structures in the network of couplings to the dynamics of the entire system.The eigenvalue bounds are then applied to design complex networks that display predetermined dynamical properties and, conversely, to determine how given structural properties influence the network dynamics.


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