Overview
Syllabus
Intro
Overview
Dense subgraphs
Motivation - correlation mining
Motivation - fraud detection
Motivation - story identification
Definition of density
Algorithms for static densest subgraph
Why dynamic algorithms
Our goal - fully dynamic algorithm for Densest Subgraph
Algorithms for dynamic densest subgraph
LP formulation
Dual of the LP
Dual LP: load balancing visualization
Dual LP: local optimality
We want approximate: allow some slack
Visualize as graph orientation problem
Dynamic graph orientation
Bounding number of flips
Dealing with dynamic
Runtime
Recap
Taught by
Association for Computing Machinery (ACM)