Showing papers on "Network science published in 1970"

The Theory of Networks and Management Science: Part II

Abstract: The second part of the expository paper started with Elmaghraby, S. E. 1970. The theory of networks and management science. Part I. Management Sci.171, September 1--34.

An analytical model of a library network

Abstract: Networks and network models of industrial and military systems have received much attention in operations research literature. The extension of network modeling to library networks provides some interesting twists of the usual models. A general library network is offered, a mathematical statement of the network problem is given, and the solution of the problem is discussed. An example of the use of the model in evaluation and design situations is provided. The necessity for further work in both theoretical and applied areas is cited in the summary.

The Shortest Path to Network Geometry

Abstract: Real networks comprise from hundreds to millions of interacting elements and permeate all contexts, from technology to biology to society. All of them display non-trivial connectivity patterns, including the small-world phenomenon, making nodes to be separated by a small number of intermediate links. As a consequence, networks present an apparent lack of metric structure and are difficult to map. Yet, many networks have a hidden geometry that enables meaningful maps in the two-dimensional hyperbolic plane. The discovery of such hidden geometry and the understanding of its role have become fundamental questions in network science giving rise to the field of network geometry. This Element reviews fundamental models and methods for the geometric description of real networks with a focus on applications of real network maps, including decentralized routing protocols, geometric community detection, and the self-similar multiscale unfolding of networks by geometric renormalization.

Modularity and dynamics on complex networks

Abstract: Complex networks are typically not homogeneous, as they tend to display an array of structures at different scales A feature that has attracted a lot of research is their modular organisation, ie, networks may often be considered as being composed of certain building blocks, or modules In this book, we discuss a number of ways in which this idea of modularity can be conceptualised, focusing specifically on the interplay between modular network structure and dynamics taking place on a network We discuss, in particular, how modular structure and symmetries may impact on network dynamics and, vice versa, how observations of such dynamics may be used to infer the modular structure We also revisit several other notions of modularity that have been proposed for complex networks and show how these can be related to and interpreted from the point of view of dynamical processes on networks Several references and pointers for further discussion and future work should inform practitioners and researchers, and may motivate further studies in this area at the core of Network Science