- Impact of boundaries on fully connected random geometric networks, J. P. Coon, C. P. Dettmann and O. Georgiou, Phys. Rev. E
**85**011138 (2012). pdf arxiv - Full Connectivity: Corners, edges and faces, J. P. Coon, C. P. Dettmann and O. Georgiou, J. Stat. Phys.
**147**758-778 (2012). pdf arxiv poster - On the connectivity of 2-D random networks with anisotropically radiating nodes, J. P. Coon and C. P. Dettmann, IEEE Commun. Lett.
**17**321-324 (2013). pdf - An approximation of the first order Marcum Q-function with application to network connectivity analysis, M. Z. Bocus, C. P. Dettmann and J. P. Coon, IEEE Commun. Lett.
**17**499-502 (2013). arxiv pdf - k-connectivity for confined random networks, O. Georgiou, C. P. Dettmann and J. P. Coon, EPL
**103**28006 (2013). arxiv pdf. - Connectivity of confined 3D networks with anisotropically radiating nodes, O. Georgiou, C. P. Dettmann and J. P. Coon, IEEE Trans. Wireless Commun.
**13**4534-4546 (2014). pdf - Network connectivity in non-convex domains with reflections, O. Georgiou, M. Z. Bocus, M. R. Rahman, C. P. Dettmann and J. P. Coon, IEEE Commun. Lett.
**19**427-430 (2015). pdf arxiv. - Connectivity scaling laws in wireless networks, J. P. Coon, O. Georgiou and C. P. Dettmann, IEEE Wireless Commun. Lett.
**4**629-632 (2015). pdf. - Connectivity of soft random geometric graphs over annuli, A. P. Giles, O. Georgiou and C. P. Dettmann, J. Stat. Phys.
**162**1068-1083 (2016). arxiv pdf. - Random geometric graphs with general connection functions, C. P. Dettmann and O. Georgiou, Phys. Rev. E
**93**032313 (2016). pdf arxiv. - Temporal correlation of interference in bounded mobile ad hoc networks with blockage, K. Koufos and C. P. Dettmann, IEEE Commun. Lett.
**20**2494-2497 (2016). pdf arxiv. - Counting geodesic paths in 1D VANETs, G. Knight, A. P. Giles, O. Georgiou and C. P. Dettmann, IEEE Wireless Commun. Lett.
**6**110-113 (2017). arxiv. - Correlated interference from uncorrelated users in bounded ad hoc networks with blockage, K. Koufos, C. P. Dettmann and J. P. Coon, IEEE Wireless Commun. Lett.
**6**114-117 (2017). arxiv. - Optimal non-uniform deployments in ultra-dense finite-area cellular networks P. Pratt, C. P. Dettmann and O. Georgiou, IEEE Commun. Lett.
**21**1139-1142 (2017). arxiv. - Spectral statistics of random geometric graphs, C. P. Dettmann, O. Georgiou and G. Knight, EPL
**118**18003 (2017). arxiv pdf - Temporal correlation of interference and outage in mobile networks over one-dimensional finite regions, K. Koufos and C. P. Dettmann, IEEE Trans. Mobile Comput. (published online) pdf arxiv.
- Symmetric motifs in random geometric graphs, C. P. Dettmann and G. Knight, J. Complex Networks (published online) arxiv.
- Isolation statistics in temporal spatial networks, C. P. Dettmann and O. Georgiou, EPL (to appear). arxiv pdf.
- Distribution of cell size in bounded Voronoi tesselations with application to secure local connectivity K. Koufos and C. P. Dettmann, submitted arxiv.
- Entropy of spatial network ensembles, J. P. Coon, C. P. Dettmann and O. Georgiou, submitted arxiv.
- Boundaries can enhance physical layer security at high data rates, K. Koufos and C. P. Dettmann, submitted arxiv.
- Conference paper: Network connectivity through small openings, O. Georgiou, C. P. Dettmann and J. P. Coon, ISWCS 2013, 602-606 (2013). [Best paper award for track 3] arxiv pdf
- Conference paper: Network connectivity: Stochastic vs deterministic wireless channels, O. Georgiou, C. P. Dettmann and J. P. Coon, ICC 2014, 77-82 (2014) arxiv
- Conference paper: Connectivity in dense networks confined within right prisms, J. P. Coon, O. Georgiou and C. P. Dettmann, SPASWIN 2014, 628-635 (2014). arxiv pdf
- Conference paper: Betweenness centrality in dense random geometric networks, A. P. Giles, O. Georgiou and C. P. Dettmann ICC 2015, 6450-6455 (2015). arxiv pdf
- Conference paper: Location, location, location: Border effects in interference limited ad hoc networks, O. Georgiou, S. Wang, M. Z. Bocus, C. P. Dettmann and J. P. Coon, Wiopt 2015 568-575 (2015). pdf
- Conference paper: More is less: Connectivity in fractal regions, C. P. Dettmann, O. Georgiou and J. P. Coon, ISWCS 2015, 636-640 (2015). arxiv
- Conference paper: Directional antennas improve the link-connectivity of interference limited ad hoc networks, O. Georgiou, S. Wang, M. Z. Bocus, C. P. Dettmann and J. P. Coon, PIMRC 2015, 1311-1316 (2015). arxiv pdf
- Conference paper: How does mobility affect the connectivity of interference-limited ad-hoc networks? P. Pratt, C. P. Dettmann and O. Georgiou, SPASWIN (2016). pdf arxiv
- Poster: Quantifying connectivity of ad-hoc networks, O. Georgiou and C. P. Dettmann, selected for presentation in the Houses of Parliament at SET for Britain 2014. pdf

Networks consist of a collection of entities called nodes with pairwise connections. Many interesting and useful networks are spatial, in that the nodes are located in physical space, and the likelihood or other properties of the links depend on these locations. The most studied model of spatial networks is the random geometric graph, in which nodes are located randomly (usually uniformly) in a region, and links formed between pairs of nodes that are sufficiently close. More generally, random connection models (also called soft random geometric graphs or spatially embedded random networks) involve links formed at random with a probability depending on the mutual distance.

Our work, in collaboration with Justin Coon and others in the Spatially Embedded Networks project and/or Toshiba Telecommunications Research Labs in Bristol, is geared towards applications in wireless communication networks. We have developed theories to characterise the effects of boundaries on connectivity in a variety of convex and non-convex domains. We have also considered other network properties such as k-connectivity and spectral properties, both related to network resilience. We are also very interested in generalisations, for example anisotropic connections, mobility, non-uniform distributions, and interference effects, pushing the concept of spatial networks to the limit.

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