Title: Densest $k$-Subgraph Approximation on Interval Graphs, Chordal Graphs and Planar Graphs Speaker: LI Jian Fudan University Date: Friday, March 23,2007 Time 11-12PM Venue: Room 2578, HKUST Abstract: In this paper, we consider the densest $k$-subgraph problem on interval graphs, chordal graphs and planar graphs. It is NP-hard on chordal graphs and planar graphs. We give the first polynomial time approximation scheme for the densest $k$-subgraph problem on proper interval graphs and planar graphs, and a constant approximation algorithm on chordal graphs.