Alexander Grigoriev, Maxim Sviridenko, et al.
IPCO 2005
In this work we propose new randomized rounding algorithms for matroid intersection and matroid base polytopes. We prove concentration inequalities for polynomial objective functions and constraints that has numerous applications and can be used in approximation algorithms for Minimum Quadratic Spanning Tree, Unrelated Parallel Machines Scheduling and scheduling with time windows and nonlinear objectives. We also show applications related to Constraint Satisfaction and dense polynomial optimization.
Alexander Grigoriev, Maxim Sviridenko, et al.
IPCO 2005
Moses Charikar, Konstantin Makarychev, et al.
FOCS 2007
Alexander Kesselman, Zvi Lotker, et al.
SIAM Journal on Computing
Nikhil Bansal, Ning Chen, et al.
ACM Transactions on Algorithms