THE COURSE IS WITHDRAWN UNTILL FURTHER NOTICE

 

The concept of networks for modelling and analysis of interconnected systems has been gaining  prime importance in several areas of science and engineering. Network systems have become a  fundamental tool in analyzing many real life complex systems. The spectral and statistical properties  of the corresponding network systems provide salient features of the dynamics and evolution of  these systems.

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In the big data analysis, most often, the given data is used to create networks whose spectral  properties capture useful information about the data and found applications in many areas. In order  to gain insights of a network, various matrices have been introduced in literature, for example,  adjacency matrix, incidence matrix, Laplacian matrix, signless Laplacian matrix, normalized Laplacian  matrix whose spectral properties are used to  investigate various structural and dynamical properties  of the corresponding networks.

 

Course Objectives:

• To discuss the mathematical rigour of spectral theory of networks.

• To emphasise the applications of spectral theory of networks into analysing various structural and

       dynamical properties of networks.

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Course Contents:

•  Spectral graph theory.

•  Complex networks in science and engineering.

•  Application of spectra of networks into solving problems which arise in real world networks.

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Resource Persons:

  Faculty members of IIT Kharagpur and invited speakers from other premier institutions including IITs, ISI,           IISERs.

 

  Course organizers: Dr. Pratima Panigrahi (Coordinator) and Dr. Bibhas Adhikari (Co-Coordinator)