LFCS Seminar: 29 May 2018 - Sayan Bhattacharya

Title:  Some Recent Advances in Dynamic Graph Algorithms

Abstract:

Many real-world networks such as the ones arising out of facebook and twitter, webpages and hyperlinks etc. evolve with the passage of  time. This motivates the study of dynamic graph algorithms, where we have to maintain the solution to a given optimisation problem when the input graph keeps changing via a sequence of updates (edge insertions/deletions). The goal is to design algorithms whose update times (time taken to handle an edge insertion/deletion) are significantly faster than recomputing the solution from scratch after each update in the input graph. In this talk, I will present a high level overview of some recent developments in dynamic graph algorithms, focussing primarily on dynamic algorithms for graph colouring and maximum matching.