Mathematics

Graphs, Randomness and Computation
Prahladh Harsha, Tata Institute of Fundamental Research

Graphs are one of the most ubiquitous models of both natural and human-made structures. They are mathematical structures that model the pairwise relations between objects in a given set. Owing to their simplicity, almost anything can be modeled as graph: road networks, electrical circuits, internet, computation flows, neural networks, protein structures, social networks, inter-molecular behaviour etc.

Understanding properties of these graphs and developing algorithms to handle these structures is of particular interest to computer science.

In this talk, I will survey the area of graph theory, starting from the early works of Euler to recent advances in computation with graphs. These include applications in a wide variety of fields:

solving linear systems, understanding arithmetic progressions in primes (mathematics), understanding how information flows (internet, social networks, biological networks).

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Mathematics

Kavli Frontiers of Science PRO

This channel contains session presentations that cover mathematical topics from the Kavli Frontiers of Science symposium series of the National Academy of Sciences.

For additional symposium information, please visit our web site (nasonline.org/kfos).

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