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Spectra of random networks in the weak clustering regime.

MACSI at the department of Mathematics and Statistics at the University of Limerick invites you to a seminar

Date:               Friday, 22nd February 2019, Room A2-002 @ 16.00

Speaker:         Dr. Thomas Peron,  Institute of Mathematics and Computer Science, University of São Paulo.

Title:               Spectra of random networks in the weak clustering regime.

Abstract: The asymptotic behavior of dynamical processes in networks can be expressed as a  function of spectral properties of the corresponding adjacency and Laplacian matrices.  Although many theoretical results are known for the spectra of traditional configuration models,  networks generated through these models fail to describe many topological features of real-world networks, in particular non-null values of the clustering coefficient. Here we investigate effects of cycles of order three (triangles) in network spectra. By using recent advances in random matrix theory, we determine the spectral distribution of the network adjacency matrix as a function of the average number of triangles attached to each node for networks without modular structure and degree-degree correlations. Implications to network dynamics are discussed. Our findings can shed light on the study of how particular kinds of subgraphs influence network dynamics. 

Further Information: If you have any questions regarding this seminar, please direct them to Romina Gaburro (061 2131930, email romina.gaburro@ul.ie  or Clifford Nolan (061 202766), clifford.nolan@ul.ie).

Supported by Science Foundation Ireland funding, MACSI - the Mathematics Applications Consortium for Science and Industry (www.macsi.ul.ie), centred at the University of Limerick, is dedicated to the mathematical modelling and solution of problems which arise in science, engineering and industry in Ireland.

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