A well studied special case of bin packing is the 3-partition problem, where n items of size > 1 4 have to be packed in a minimum number of bins of capacity one. The famous Kar...
Given a graph G and a collection of source-sink pairs in G, what is the least integer c such that each source can be connected by a path to its sink, with at most c paths going th...
This paper studies the computational complexity of the following type of quadratic programs: given an arbitrary matrix whose diagonal elements are zero, find x ∈ {−1, +1}n th...
Sanjeev Arora, Eli Berger, Elad Hazan, Guy Kindler...
We show that for k ≥ 3 even the Ω(n) level of the Lasserre hierarchy cannot disprove a random k-CSP instance over any predicate type implied by k-XOR constraints, for example ...
We consider the class of max-min and min-max optimization problems subject to a global budget (or weight) constraint and we undertake a systematic algorithmic and complexitytheore...
Deeparnab Chakrabarty, Aranyak Mehta, Vijay V. Vaz...