Networks

    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.

  1. 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
  2. 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
  3. 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
  4. 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
  5. k-connectivity for confined random networks, O. Georgiou, C. P. Dettmann and J. P. Coon, EPL 103 28006 (2013). arxiv pdf.
  6. 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
  7. 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.
  8. Connectivity scaling laws in wireless networks, J. P. Coon, O. Georgiou and C. P. Dettmann, IEEE Wireless Commun. Lett. 4 629-632 (2015). pdf.
  9. Connectivity of soft random geometric graphs over annuli, A. P. Kartun-Giles, O. Georgiou and C. P. Dettmann, J. Stat. Phys. 162 1068-1083 (2016). arxiv pdf.
  10. Random geometric graphs with general connection functions, C. P. Dettmann and O. Georgiou, Phys. Rev. E 93 032313 (2016). pdf arxiv.
  11. 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.
  12. Counting geodesic paths in 1D VANETs, G. Knight, A. P. Kartun-Giles, O. Georgiou and C. P. Dettmann, IEEE Wireless Commun. Lett. 6 110-113 (2017). arxiv.
  13. 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.
  14. 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.
  15. Spectral statistics of random geometric graphs, C. P. Dettmann, O. Georgiou and G. Knight, EPL 118 18003 (2017). arxiv pdf
  16. Isolation statistics in temporal spatial networks, C. P. Dettmann and O. Georgiou, EPL 119 28002 (2017). arxiv pdf.
  17. Temporal correlation of interference and outage in mobile networks over one-dimensional finite regions, K. Koufos and C. P. Dettmann, IEEE Trans. Mobile Comput. 17 475-487 (2018). pdf arxiv.
  18. Symmetric motifs in random geometric graphs, C. P. Dettmann and G. Knight, J. Complex Networks 6 95-105 (2018). arxiv.
  19. Entropy of spatial network ensembles, J. P. Coon, C. P. Dettmann and O. Georgiou, Phys. Rev. E 97 042319 (2018). arxiv.
  20. Isolation and connectivity in random geometric graphs with self-similar intensity measures, C. P. Dettmann, J. Stat. Phys. 172 679-700 (2018). arxiv.
  21. Spatial networks with wireless applications, C. P. Dettmann, O. Georgiou, P. Pratt, Comptes Rendus Physique 19 187-204 (2018). arxiv.
  22. Temporal connectivity in finite networks with non-uniform measures, P. Pratt, C. P. Dettmann and W. H. Chin, Phys. Rev. E 98 052310 (2018). arxiv.
  23. Moments of interference in vehicular networks with hardcore headway distance, K. Koufos and C. P. Dettmann, IEEE Trans. Wireless Commun. 17 8330-8341 (2018). arxiv.
  24. Boundaries as an enhancement technique for physical layer security, K. Koufos and C. P. Dettmann, IEEE Trans. Information Forensics and Security 14 61-74 (2019). arxiv.
  25. Temporal correlation of interference in vehicular networks with shifted-exponential time headways, K. Koufos and C. P. Dettmann, IEEE Wireless Commun. Lett. 8 189-192 (2019). arxiv.
  26. Adaptive transmission in cellular networks: Fixed-rate codes with power control vs rateless codes A. Rajanna and C. P. Dettmann, IEEE Trans. Wireless Commun. 18 3005-3018 (2019). arxiv.
  27. Distribution of cell area in bounded Poisson Voronoi tessellations with application to secure local connectivity K. Koufos and C. P. Dettmann, J. Stat. Phys. 176 1296-1315 (2019). arxiv SharedIt.
  28. The shape of shortest paths in random spatial networks, A. P. Kartun-Giles, M. Barthelemy and C. P. Dettmann, Phys. Rev. E 100 032315 (2019). arxiv pdf.
  29. The meta distribution of the SIR in linear motorway VANETs, K. Koufos and C. P. Dettmann, IEEE Trans. Commun., 67 8696-8706 (2019). arxiv doi.
  30. Rate Statistics in Cellular Downlink: A Per-User Analysis of Rateless Coded Transmission, A. Rajanna and C. P. Dettmann, IEEE Commun. Lett. 24 1221-1225 (2020). arxiv.
  31. Shortest path distance in Manhattan Poisson line Cox
  32. Connectivity in one-dimensional soft random geometric graphs, M. Wilsher, C. P. Dettmann and A. Ganesh, Phys. Rev. E 102 062312 (2020). arxiv.
  33. Outage in motorway multi-lane VANETs with hardcore headway distance using synthetic traces, K. Koufos and C. P. Dettmann, IEEE Trans. Mobile Comput. (published online). arxiv.
  34. Performance of a link in a field of vehicular interferers with hardcore headway distance, K. Koufos and C. P. Dettmann, IEEE Trans. Intell. Transport Sys. (published online). arxiv.
  35. On the k nearest-neighbor path distance from the typical intersection in the Manhattan Poisson line Cox process, K. Koufos, H. S. Dhillon, M. Dianati and C. P. Dettmann, submitted pdf arxiv.
  36. 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
  37. Conference paper: Network connectivity: Stochastic vs deterministic wireless channels, O. Georgiou, C. P. Dettmann and J. P. Coon, ICC 2014, 77-82 (2014) arxiv
  38. 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
  39. Conference paper: Betweenness centrality in dense random geometric networks, A. P. Kartun-Giles, O. Georgiou and C. P. Dettmann ICC 2015, 6450-6455 (2015). arxiv pdf
  40. 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
  41. Conference paper: More is less: Connectivity in fractal regions, C. P. Dettmann, O. Georgiou and J. P. Coon, ISWCS 2015, 636-640 (2015). arxiv
  42. 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
  43. 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
  44. Conference paper: Rateless coded adaptive transmission in cellular networks: Role of power control A. Rajanna and C. P. Dettmann, ICC 2018. pdf.
  45. Conference paper: 3D Mobility Models and Analysis for UAVs P. J. Smith, P. A. Dmochowski, I. Singh, R. Green, C. P. Dettmann and J. P. Coon, PIMRC 2020 pdf.
  46. 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

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