All publications


L. V. Montoya, A. Ma, R. J. Mondragon, (2013), Social Achievement and Centrality in MathOverflow, Complex Networks IV, Studies in Computational Intelligence Volume 476, 2013, pp 27–38, Springer.


R.J. Mondragon and S. Zhou, (2012), Random networks with given rich-club coefficient, The European Physical Journal B-Condensed Matter and Complex Systems 85.9 (2012): 1-6.


Ma, A., and R. J. Mondragon. (2012), Evaluation of network robustness using a node tearing algorithm, Physica A: Statistical Mechanics and its Applications.


X. Zhang, C. I. Phillips and R. J. Mondragon (2011), Topology Construction of Provider–independent Overlays to Improve Internet Resilience , Communication Letters IEEE, 16:11, pg. 1876–1879


L. Liu and R. J. Mondragon (2009), Conservation of alternative paths as a method to simplify large networks, Workshop on Simplifying Complex Network for Practitioners, Proceedings of the 1st Annual Workshop on Simplifying Complex Network for Practitioners,Venice, Italy ACM digital library, ISBN:978- 1-60558-704-2


R. J. Mondragon, S. Zhou (2008), Ensembles related to the rich-club coefficient for non-evolving net- works, arXiv:0808.4062


R. J. Mondragon, A.W. Moore, J.M. Pitts and J.A. Schormans (2008), Analysis, Simulation and Measurement in Large-scale Packet Networks, invited review paper, IET Communications Special Edition on Simulation, Analysis and Measurement of Broadband Network Traffic


R. J. Mondragon (2008), Topological Modelling of Large Networks, Philosophical Transactions of the Royal Society A, London, doi:10/1098/rsta.2008.0008


M. Woolf, Z. Huang and R. J. Mondragon (2007), Building Catastrophes, New Journal of Physics, 9, No 6, 174


S. Zhou and R.J. Mondragon (2007), Structural constraints in complex networks, New Journal of Physics: Complex Networked Systems: Theory and Applications, 9, No 6


S. Zhou and R.J. Mondragon (2005). Topological Discrepancies Among Internet Measurements Using Different Sampling Methodologies. Lecture Notes in Computer Science, Springer-Verlag, Vol 3391, ISBN: 3-540-24467-0, DOI: 10.1007/b105584.


S. Zhou and R. J. Mondraǵon (2004). Topological Discrepancies Among Internet Measurements Using Different Sampling Methodologies. Virtual Journal of Biological Physics Research, Vol. 8, Issue 12, the American Physical Society and the American Institute of Physics.


S. Zhou and R. J. Mondragon (2004). Accurately Modelling the Internet Topology. Physical Review E, 70:066108


S. Zhou and R. J. Mondragon (2004). The Rich-Club Phenomenon in the Internet Topology. IEEE Communications Letters, Vol. 8, pp. 180–182,


S. Zhou and R. J. Mondragon (2004). Redundancy and Robustness of the AS-level Internet Topology and its Models. IEE Electronic Letters, Vol. 40, No 2, pp. 151–152,


M. Woolf, D.K. Arrowsmith, R.J. Mondragon, and J. M. Pitts (2002). Optimisation and Phase Tran- sition in a Chaotic Model of Data Traffic. Physics Review E, 66:056106,


R.J.Mondragon, D.K.Arrowsmith, and J.M. Pitts (2001). Traffic Modelling and Queueing Performance Analysis Using Chaotic Maps. Performance Evaluation, Vol. 43, pp. 223–240.


R.J.Mondragon, J.M. Pitts and D.K.Arrowsmith (2000). Chaotic Intermittency–Sawtooth Map Model of Aggregate Self–similar Traffic Streams. Electronic Letters, Vol. 36, No. 2, pp. 184–186


J. Schormans, J. Pitts, R. J. Mondragón, E. Scharf, A. Pearmin and C. Phillips (2000). Design Rules for Buffering Overlapping Pareto Processes in Packetised Networks. Electronic Letters, Vol. 36, No. 12, pp. 1086–1088.


D. K. Arrowsmith and R. J. Mondragon (1999). Stability Region Control for a Parametrically Forced Mathieu Equation. Meccanica, Vol. 34, 6, pp. 401-410


R.J.Mondragon (1999). A Model of Packet Traffic using a Random Wall Model. Int. Jnl. of Bif. and Chaos, Vol. 9, 7, pp. 1381-1392, citations: 10 Web of Science


R.J.Mondragon and D.K.Arrowsmith (1997). On Control of Coupled Map Lattices: Using Local Dy- namics to Predict Controllability. Int. J. of Bifurcation and Chaos, Vol. 7, No. 2, pp. 383–399.


R.J.Mondragon and D.K.Arrowsmith (1997). Tracking Unstable Fixed Points in Parametrically Dynamical Systems. Phys. Lett. A Vol. 229, No. 2.


D.K.Arrowsmith, A.N.Lansbury and R.J.Mondraǵon (1996). Control of Arnold Circle Map. Int. J. of Bifurcation and Chaos, Vol. 6, pp. 437–453. and published as section of the book From Chaos to Order: Perspectives, Methodologies, and Applications by G. Chen & X. Dong, World Scientific Publishing Company, Singapore, 1998


R.J.Mondragon and P.R.Richter (1994). Weak Dissipation in a Hamiltonian Map. Int. J. of Bifurcation and Chaos, Vol. 4, pp. 921–932.


R.J.Mondraǵon and I.C.Percival (1991). Complex Billiards and Soft Billiards. Phys.Lett.A Vol. 158, pp. 377-384.


R.J.Mondraǵon and M.V.Berry (1989). The Quantum Phase 2-form Near Degeneracies: Two Numerical Studies. Proc.Roy.Soc.Lond. Vol. A424, pp. 263-278


J.Keating and R.J.Mondragon (1988) Quantum Chaology of Energy Levels. Notes based on Lectures by Michael Berry, in Nonlinear Evolution and Chaotic Phenomena, Edited by G.Gallavoti & P.F.Zweifel, Plenum Press, Series B, Physics.


M.V.Berry and R.J.Mondragon (1987). Neutrino Billiards: Time-reversal Symmetry-breaking Without Magnetic Fields. Proc.Roy.Soc.Lond., A412, pp. 873–885, citations:


M.V.Berry and R.J.Mondraǵon (1986). Diabolical Points in One-dimensional Hamiltonians Quartic in the Momentum. J.Phys.A: Math.Gen Vol. 19, pp. 873–885, citations:


G.C. Martinez Mekler, R.J.Mondragon and R.Perez (1986). Basins Structure Invariance of Circle Maps with Bistable Dynamics. J.Phys.A, Vol. 33, 2143.


Conferences


S.K. Khan, R. J. Mondragon and L. N. Tokarchuk, (2012), Lobby Influence: Opportunistic forward- ing algorithm based on Human social relationship patterns, Pervasive Computing and Communications Workshops (PERCOM Workshops), 2012 IEEE International Conference on. IEEE.


M.R. de Tilly Blaru, K. Shoop and R. J. Mondragon (2009). An Analysis of Optimal Group Dynamics in Social Networks, proceedings of NAEC2009, Riva de Garda, Italy


K.V. Shoop and R. J. Mondragon (2009). One size fits all? Evaluating null models for academic networks, proceedings NAEC2009, Riva de Garda, Italy


L. Liu and R. J. Mondragon (2008). Simplifying large networks conserving path diversity, proceedings NAEC2008, Riva del Garda, Italy


Z. Huang, M. Woolf and R.J. Mondragon (2008). Growing networks designed to fail catastrophically, proceedings NEAE2008, Riva del Garda, Italy


R.J.Mondraǵon (2006), Optimal Networks, Congestion and Braess’ Paradox, ACM International Conference Proceeding Series; Vol. 200, Proceedings from the 2006 workshop on Interdisciplinary systems approach in performance evaluation and design of computer & communications systems 11–13 October 2006. Pisa Italy. The IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences


R.J. Mondragon and D.K. Arrowsmith (2006), Queues, Long–range dependent traffic and non–linear maps, NOLTA2006 – International Symposium on Nonlinear Theory and its Applications, 11–14 Sept. 2006, Bologna, Italy. ACM Digital Library


H. Huang and R.J.Mondragon (2006). Demultiplexing Heterogeneous ON/OFF Streams, 12th Asia- Pacific Conference on Communications. Aug. 31st–Sept. 1st 2006, Busan, Republic of Korea.


D.K. Arrowsmith, R.J. Mondragon (2006). Summer School: Complex Networks: Analysis, Control and Applications. University of Bristol, 3rd-7th July 2006, Bristol.


Zhijia Huang and R.J.Mondraǵon (2006). Topology and Congestion Invariant in Global Internet–Scale Networks. Post–Graduate Network (PGNet2006) sponsored by EPSRC, The Convergence of Telecommunications, Networking and Broadcasting, Liverpool John Moores University.


X. Yang and R.J.Mondragon (2005). Connectivity Improvement by Delayed Transmission for Different Mobility Models of Ad-hoc Networks. The 19th International Teletraffic Congress (ITC19), Performance Challenges for Efficient Next Generation Networks, Beijing, China.


L. Liu and R.J.Mondragon (2005). A Novel Algorithm for Simplifying Networks. Post–Graduate Network (PGNet2005) sponsored by EPSRC, The convergence of telecommunications, networking and broadcasting, Liverpool John Moores University.


D.K. Arrowsmith, R.J. Mondragon, J.M. Pitts and M. Woolf (2004/2005). Dynamical Modelling of TCP Packet Traffic on Scale-Free Networks. Institut Mittag-Leffler preprint, ISSN 1103-467X, ISRN IML-R-7-04/05, Report No. 7, the Royal Swedish Academy of Sciences, Stockholm, Sweden.


D.K. Arrowsmith, R.J. Mondragon, J.M. Pitts and M. Woolf (2004/2005). Phase Transitions in Packet Traffic on Regular Networks: A Comparison of Source Types and and Topologies. Report 08, the Institut Mittag-Leffler the Royal Swedish Academy of Sciences, Stockholm, Sweden.


S. Zhou and R.J. Mondragon (2005). Topological Discrepancies Among Internet Measurements Using Different Sampling Methodologies. ICOIN, The International Conference on Information Networking, Jeju, Korea, citations: 3 Web of Science


S. Zhou and R.J. Mondragon (2005). The Positive-Feedback Preference Model of the AS-level Internet. in Proc. of IEEE International Conference on Communications (ICC05), Seoul, Korea.


D. K. Arrowsmith, M. Barenco, R.J. Mondragon and M. Woolf (2004). The Statistical Behaviour of Intermittency Maps and Dynamical Modelling of Networks. Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS2004), Belgium.


S. Zhou and R. J. Mondraǵon (2003). Analysing and Modelling the AS-level Internet Topology. In First International Working Conference on Performance Modelling and Evaluation of Heterogeneous Networks (HET-NETs ’03), Ilkley, UK, Arxiv preprint cs.NI/0303030.citations: 8 Google Scholar


Wajahat Ali, Raul J. Mondragón and Farrukh Alavi (2003). Classification of Topological Patterns using Neural Networks. Post Graduate Network (PGNet2003) sponsored by EPSRC, Towards the Improvement of Routing Mechanisms in Ad-hoc Networks, Liverpool John Moores University.


D.K. Arrowsmith, R.J.Mondragon, J.M. Pitts, and M. Woolf (2003). Internet Packet Congestion. 2003 IEEE International Symposium on Circuits and Systems Imperial Queen’s Park Hotel, Bangkok, Thailand.


S. Zhou and R. J. Mondragon (2003). The Missing Links in the BGP–based as Connectivity Maps (extended abstract). in Proc. of Passive and Active Measurement Workshop (NLANR-PAM03), San Diego, USA. citations: 7 Google


I. Djordjevic, C. Gan, E. Scharf, R. Mondragon, B. A. Gran, M. Kristiansen, T. Dimitrakos, K. Stolen, and T. A. Opperud (2002). Model–based Risk Management of Security Critical Systems. In Proceedings of “Risk Analysis 2002, Sintra, Portugal, pp. 19–21.


R. J. Mondragon, J. M. Pitts, and D. K. Arrowsmith (2002). Minimising End–to–end Delays in the Presence of Self–similar Traffic. In World Teletraffic Congress, Paris, 2002.


J. M. Pitts, J. A. Schormans, M. Woolf, R. J. Mondragon, and D. K. Arrowsmith (2002). End to End Performance in Real Time IP Networks with Self–similar Behaviour. In Acoustics, Speech, and Signal Processing, 2002 IEEE International Conference on, Vol. 4, pp. 4044–4047.


S. Zhou and R. J. Mondragon (2002). Connectivity in the Internet Topology. Post Graduate Network (PGNet2002) sponsored by EPSRC, pp. 157–162, Liverpool John Moores University.


S. Zhou and R. J. Mondragon (2002). Topological Properties of the AS–level Internet. in Proc. of IEE & IEEE International Conference on Telecommunications (ICT2002), Vol. 3, pp. 497–50, Beijing, China


G. Aklilu, J.M. Pitts, and R.J. Mondragon (2001). Modelling the Bounds on LRD Behaviour for IP Traffic. In Post Graduate Networks (PGNET2001) sponsored by EPSRC, Liverpool John Moore University.


R. J. Mondragon, D. K. Arrowsmith, and J. M. Pitts (2000). Controlling Self–similar Traffic and Shaping Techniques. In Nonlinear Control in the Year 2000, Vol 2 of Lecture Notes in Control and Information Sciences, vol 259, pp. 149–161, Berlin, Germany, Springer Verlag.


J. A. Schormans, J. M. Pitts, A. H. I. Ma, and R. J. Mondraǵon (2000). Accurate Results for Traffic Engineering in the Presence of LRD. In 16th IEE Teletraffic Symposium.


R.J.Mondragon, D.K.Arrowsmith and J.M. Pitts (2000). Traffic Modelling and Queuing Performance Analysis using Chaotic Maps. Proceedings IEEE Workshop on Nonlinear Dynamics of Electronic Systems, Catania 2000, World Scientific, pp. 56–60, citations: 16 Google Scholar


R.J.Mondragon, D.K. Arrowsmith, J.M. Griffiths and J.M. Pitts (1999). Chaotic Maps for Network Control: Traffic Modelling and Queuing Performance Analysis. Performance and Control of Network Systems III, 19-22 Sept. 1999, Boston USA.


L.G. Samuel, J.M. Pitts, R.J.Mondragon and D.K.Arrowsmith (1998). The Maps Paradigm: Chaotic Control of Networks. Published in Proc. of the Sixth IEE Conference on Telecommunications, Edinburgh, UK. citations: 4 Google Scholar


L.G. Samuel, J.M Pitts, and R.J. Mondraǵon (1998). Applications of Non-linear Dynamics to Network Modelling. Published in Proc. of the fifteenth UK Teletraffic Symposium on Performance Engineering in Information Systems, Durham, UK.


L.G. Samuel, J. M. Pitts, R.J.Mondragon, D.K. Arrowsmith (1998). The MAPS control Paradigm: us- ing Chaotic Maps to Control Telecoms Networks. in Broadband Communications, The Future of Telecom- munications, Ed. P, Ku ̈hn & R.Ulrich, Chapman Hall, pp. 371-382.


L.G. Samuel, J.M. Pitts, R.J.Mondragon (1997). Fast self-similar Traffic Generation. 14th UK Tele- traffic Congress


L.G. Samuel, J.M. Pitts, R.J.Mondragon (1997) Towards the Control of Communication Networks by Chaotic Maps: Source Aggregation. Proc. 15th International Teletraffic Congress (ITC15), Teletraffic Contributions for the information Age, Eds: V. Ramaswami and P.E. Wirth, Elsevier, Amsterdam.

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Selected Publications


S. Zhou and R. J. Mondragon (2004).  The Rich-Club Phenomenon in the Internet Topology. IEEE Communications Letters, Vol. 8, pp. 180–182,


  1. A.Zhou and R. J. Mondragon (2004). Accurately Modelling the Internet Topology. Physical Review E, 70:066108


M.V.Berry and R.J.Mondragon (1987). Neutrino Billiards: Time-reversal Symmetry-breaking Without Magnetic Fields. Proc.Roy.Soc.Lond., A412, pp. 873–885


R.J.Mondragon and I.C.Percival (1991). Complex Billiards and Soft Billiards. Phys.Lett.A Vol. 158, pp. 377-384.


G.C. Martinez Mekler, R.J.Mondragon and R.Perez (1986). Basins Structure Invariance of Circle Maps with Bistable Dynamics. J.Phys.A, Vol. 33, 2143.