Dense Subgraphs on Dynamic Networks
November 5, 2012, 10:17 pm
Filed under: Uncategorized | Tags: , ,

A quick pointer to an interview with my former student Amitabh Trehan on his DISC paper “Dense Subgraphs on Dynamic Networks” .

This is a neat result in the dynamic graph setting where an adversary can add and delete edges in a graph, but the number of nodes is always fixed at n.  One of their results is as follows.  In the case where the maximum number of rounds that it takes a message to traverse the network is always polylog, they give a polylog time algorithm that allows each node to approximate within a constant factor the densest subgraph.  This is in the CONGEST model where in each round, each node can send an O(log n) bit message to each neighbor.

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