From the betweenness centrality in street networks to structural invariants in random planar graphs

A Kirkley, H Barbosa, M Barthelemy… - Nature communications, 2018 - nature.com
The betweenness centrality, a path-based global measure of flow, is a static predictor of
congestion and load on networks. Here we demonstrate that its statistical distribution is …

Statistical properties of the quantum internet

S Brito, A Canabarro, R Chaves, D Cavalcanti - Physical Review Letters, 2020 - APS
Steady technological advances are paving the way for the implementation of the quantum
internet, a network of locations interconnected by quantum channels. Here we propose a …

Betweenness centrality in dense spatial networks

V Verbavatz, M Barthelemy - Physical Review E, 2022 - APS
The betweenness centrality (BC) is an important quantity for understanding the structure of
complex large networks. However, its calculation is in general difficult and known in simple …

Connectivity of soft random geometric graphs over annuli

AP Giles, O Georgiou, CP Dettmann - Journal of Statistical Physics, 2016 - Springer
Nodes are randomly distributed within an annulus (and then a shell) to form a point pattern
of communication terminals which are linked stochastically according to the Rayleigh fading …

Random geometric graphs in high dimension

V Erba, S Ariosto, M Gherardi, P Rotondo - Physical Review E, 2020 - APS
Many machine learning algorithms used for dimensional reduction and manifold learning
leverage on the computation of the nearest neighbors to each point of a data set to perform …

Shape of shortest paths in random spatial networks

AP Kartun-Giles, M Barthelemy, CP Dettmann - Physical Review E, 2019 - APS
In the classic model of first-passage percolation, for pairs of vertices separated by a
Euclidean distance L, geodesics exhibit deviations from their mean length L that are of order …

An Introduction to Complex Networks in Climate Finance

AP Kartun-Giles, N Ameli - Entropy, 2023 - mdpi.com
In this perspective, we introduce recent research into the structure and function of complex
investor networks supporting sustainability efforts. Using the case of solar, wind and hydro …

[HTML][HTML] Spatial networks with wireless applications

CP Dettmann, O Georgiou, P Pratt - Comptes Rendus Physique, 2018 - Elsevier
Many networks have nodes located in physical space, with links more common between
closely spaced pairs of nodes. For example, the nodes could be wireless devices and links …

Euclidean matchings in ultra-dense networks

A Kartun-Giles, S Jayaprakasam… - IEEE Communications …, 2018 - ieeexplore.ieee.org
In order to investigate the fundamental limits of network densification in and beyond 5G, we
study the spatial spectral efficiency gain achieved when communication devices densely …

Community Detection Applications in Mobile Networks: Towards Data-Driven Design for Next Generation Cellular Networks

A Gaber, N Abdelbaki, T Arafa - Journal of Communications …, 2023 - ieeexplore.ieee.org
The existing radio access network (RAN) is facing many challenges to meet the very strict
speed and latency requirements by different mobile applications in addition to the increasing …