TU Delft Reports

  1. Achterberg, M. A. and P. Van Mieghem, 2025, "The spectral degree exponent of a graph", Delft University of Technology, report20231220.
  2. Van Mieghem, P., 2024, "Markovian epidemics on a graph: a computational challenge", Delft University of Technology, report20240205.
  3. Achterberg, M. A. and P. Van Mieghem, 2023, "Analytic solution of Markovian epidemics without re-infections on heterogeneous networks", Delft University of Technology, report20231129.
  4. Van Mieghem, P., 2023, "Properties of a triangular matrix and its linear differential equation", Delft University of Technology, report20230703.
  5. Van Mieghem, P., 2023, "The Arithmetic-Geometric Mean: A Pearl of Gauss", Delft University of Technology, report20230605.
  6. Van Mieghem, P., 2021, "Some Laplacian eigenvalues can be computed by matrix perturbation", Delft University of Technology, report20211109.
  7. Van Mieghem, P., 2021, "A tree realization of a distance matrix: the inverse shortest path problem with a demand matrix generated by a tree", Delft University of Technology, report20211012.
  8. Van Mieghem, P., 2021, "Binet's factorial series and extensions to Laplace transforms", Delft University of Technology, report20210202 (http://arxiv.org/abs/2102.04891).
  9. Van Mieghem, P., M. A. Achterberg and Q. Liu, 2020, "Power-law decay in epidemics is likely due to interactions with the time-variant contact graph", Delft University of Technology, report20201201.
  10. Van Mieghem, P., 2020, "The Mittag-Leffler function", Delft University of Technology, report20200528 (http://arxiv.org/abs/2005.13330).
    Here is the latest version posted, in contrast to the ArXiv version. Currently, I am in the process of writing a book on the Mittag-Leffler and Gamma function (see preprint). All good comments will be acknowledged in a next verson.
  11. Van Mieghem, P., 2020, "Exact solution of the Kermack-McKendrick SIR differential equations", Delft University of Technology, report20200527 (http://arxiv.org/abs/2010.03253).
  12. Prasse, B. and P. Van Mieghem, 2020, "Mobile smartphone tracing can detect almost all SARS-CoV-2 infections", Delft University of Technology, report20200921.(https://arxiv.org/abs/2006.14285).
  13. Prasse, B., M. A. Achterberg and P. Van Mieghem, 2020, "Fundamental Limits of Predicting Epidemic Outbreaks", Delft University of Technology, report2020410. Appeared as Prasse, B., M. A. Achterberg and P. Van Mieghem, 2022, "On the accuracy of predicting epidemic outbreaks", Physical Review E, Vol. 105, No. 1, p. 014302.
  14. Van Mieghem, P., 2018, "Directed graphs and mysterious complex eigenvalues", Delft University of Technology, report20181205.
  15. Devriendt, K. and P. Van Mieghem, 2018, "The Simplex Geometry of Graphs", Delft University of Technology, report20180717 (http://arxiv.org/abs/1807.06475); Appeared as Devriendt, K. and P. Van Mieghem, 2019, "The Simplex Geometry of Graphs", Journal of Complex Networks, Volume 7, Issue 4, August, pp. 469–490.
  16. Van Mieghem, P., 2018, "Integral equations for the heterogeneous, Markovian SIS process with time-dependent rates in time-variant networks", Delft University of Technology, report20180421.
  17. Van Mieghem, P. and K. Devriendt, 2018, "An Epidemic Perspective on the Cut Size in Networks", Delft University of Technology, report20180312.
  18. Van Mieghem, P., 2017, "Time Evolution of SIS epidemics in the Complete Graph", Delft University of Technology, report20170405; Appeared as Appendix in P. Van Mieghem and F. Wang, 2020, "Time-dependence of susceptible-infected-susceptible epidemics on networks with nodal self-infections", Physical Review E, Vol. 101, No. 5, May, p. 052310.
  19. Van Mieghem, P., 2016, "Universality of the SIS prevalence in networks", Delft University of Technology, report20161006; updated in 2017 (http://arxiv.org/abs/1612.01386).
  20. Blenn, N. and P. Van Mieghem, 2016, "Are human interactivity times lognormal?", Delft University of Technology, report20160711 (http://arxiv.org/abs/1607.02952).
  21. Van Mieghem, P., 2015, "Graph eigenvectors, fundamental weights and centrality metrics for nodes in networks", Delft University of Technology, report20150808 (http://arxiv.org/abs/1401.4580).
  22. Van Mieghem, P., 2014, "SIS epidemics with time-dependent rates describing ageing of information spread and mutation of pathogens", Delft University of Technology, report20140615.
  23. Van Mieghem, P., 2013, "Decay towards the overall-healthy state in SIS epidemics on networks", Delft University of Technology, report20131016 (http://arxiv.org/abs/1310.3980).
  24. Van Mieghem, P., 2013, "Double orthogonality and the nature of networks", Delft University of Technology, report20130923.
  25. Van Mieghem, P., 2013, "Can the topology of two graphs be compared by one number", Delft University of Technology, report20130605.
  26. Van Mieghem, P., 2011, "The physics of complex networks", Delft University of Technology, report20110513 (living document).
  27. Martin Hernandez, J. and P. Van Mieghem, 2011, "Classification of Graph Metrics", Delft University of Technology, report20111111.
  28. Van Mieghem, P., C. Doerr, H. Wang, J. Martin Hernandez, D. Hutchison, M. Karaliopoulos and R. E. Kooij, 2010, "A Framework for Computing Topological Network Robustness", Delft University of Technology, report20101218.
  29. Van Mieghem, P., and H. Wang, 2009, "Spectra of a new class of graphs with extremal properties", Delft University of Technology, report20091010.
  30. Van Mieghem, P., 2009, "A complex variant of the Kuramoto model", Delft University of Technology, report20090811.
  31. Omic, J. and P. Van Mieghem, 2009, "Epidemic Spreading in Networks - Variance of the Number of Infected Nodes ", Delft University of Technology, report20090707.
  32. Van Mieghem, P. and J. Omic, 2008, "In-homogeneous Virus Spread in Networks", Delft University of Technology, report2008081 (http://arxiv.org/abs/1306.2588).
  33. Van Mieghem, P., 2007, "A Note on the Weight of Multicast Shortest Path Trees ", Delft University of Technology, report20070726.
  34. Martin Hernandez, J., T. Kleiberg, H. Wang and P. Van Mieghem, 2006, "A Qualitative Comparison of Power Law Generators", Delft University of Technology, report20061115.
  35. Kleiberg, T. and P. Van Mieghem, 2006, "A queueing approach to model network flow dynamics", Delft University of Technology, report20060831.
  36. Wang, H. and P. Van Mieghem, 2006, "Shifting the Link Weights in Networks", Delft University of Technology, report20061031.
  37. Astiz Lezaun, E. and P. Van Mieghem, 2006, "The Number of Link-Disjoint Paths in a Graph", Delft University of Technology, report20060129.
  38. Van Mieghem, P., 2005, "The Limit Random Variable W of a Branching Process", Delft University of Technology, report20050206.
  39. Hooghiemstra, G. and P. Van Mieghem, 2004, "On the Mean Distance in Scale Free Graphs", Delft University of Technology, report20040605.
  40. Van Mieghem, P., "The Probability Distribution of the Hopcount to an Anycast Group", Delft University of Technology, report2003605 (extended version of IJCS, 2004).
  41. Van Mieghem, P., G. Hooghiemstra and R. W. van der Hofstad, 2002, "Modeling the AS-hopcount in Internet", Delft University of Technology, report2002718.
  42. Hooghiemstra, G. and P. Van Mieghem, 2001, "Delay Distributions on Fixed Internet Paths", Delft University of Technology, report20011020.
  43. Van Mieghem, P., G. Hooghiemstra and R. W. van der Hofstad, 2000, "Scaling Law for the Hopcount", Delft University of Technology, report2000125.