3 citations · 3 across the 2 of their papers we have counts for
2 papers
cs.DM2011★ 3 cited
Hypercontractivity and its applications
Punyashloka Biswal
Hypercontractive inequalities are a useful tool in dealing with extremal questions in the geometry of high-dimensional discrete and continuous spaces. In this survey we trace a few…
cs.DS2008
Eigenvalue bounds, spectral partitioning, and metrical deformations via flows
Punyashloka Biswal, James R. Lee, Satish Rao
We present a new method for upper bounding the second eigenvalue of the Laplacian of graphs. Our approach uses multi-commodity flows to deform the geometry of the graph; we embed t…