The moment problem matured from its various special forms in the late 19th and early 20th Centuries to a general class of problems that continues to exert profound influence on the...
In the Max Lin-2 problem we are given a system S of m linear equations in n variables over F2 in which Equation j is assigned a positive integral weight wj for each j. We wish to ...
The last decade has seen a revival of interest in pebble games in the context of proof complexity. Pebbling has proven to be a useful tool for studying resolution-based proof syst...
The public-key model for interactive proofs has proved to be quite effective in improving protocol efficiency [CGGM00]. We argue, however, that its soundness notion is more subtle...
In this paper, we initiate a study of shape description and classification via the application of persistent homology to tangential constructions on geometric objects. Our techniq...
Gunnar Carlsson, Afra Zomorodian, Anne D. Collins,...