Almost-polynomial ratio ETH-hardness of approximating densest k-subgraph

P Manurangsi - Proceedings of the 49th Annual ACM SIGACT …, 2017 - dl.acm.org
In the Densest k-Subgraph (D k S) problem, given an undirected graph G and an integer k,
the goal is to find a subgraph of G on k vertices that contains maximum number of edges …

The college admissions problem with lower and common quotas

P Biró, T Fleiner, RW Irving, DF Manlove - Theoretical Computer Science, 2010 - Elsevier
We study two generalised stable matching problems motivated by the current matching
scheme used in the higher education sector in Hungary. The first problem is an extension of …

Strategyproof matching with minimum quotas

D Fragiadakis, A Iwasaki, P Troyan, S Ueda… - ACM Transactions on …, 2016 - dl.acm.org
We study matching markets in which institutions may have minimum and maximum quotas.
Minimum quotas are important in many settings, such as hospital residency matching …

Sum-of-squares lower bounds for densest k-subgraph

C Jones, A Potechin, G Rajendran, J Xu - Proceedings of the 55th …, 2023 - dl.acm.org
Given a graph and an integer k, Densest k-Subgraph is the algorithmic task of finding the
subgraph on k vertices with the maximum number of edges. This is a fundamental problem …

Improving matching under hard distributional constraints

D Fragiadakis, P Troyan - Theoretical Economics, 2017 - Wiley Online Library
Distributional constraints are important in many market design settings. Prominent examples
include the minimum manning requirements at each Army branch in military cadet matching …

On social event organization

K Li, W Lu, S Bhagat, LVS Lakshmanan… - Proceedings of the 20th …, 2014 - dl.acm.org
Online platforms, such as Meetup and Plancast, have recently become popular for planning
gatherings and event organization. However, there is a surprising lack of studies on how to …

The hospitals/residents problem with lower quotas

K Hamada, K Iwama, S Miyazaki - Algorithmica, 2016 - Springer
Abstract The Hospitals/Residents problem is a many-to-one extension of the stable marriage
problem. In an instance, each hospital specifies a quota, ie, an upper bound on the number …

Classified stable matching

CC Huang - Proceedings of the twenty-first annual ACM-SIAM …, 2010 - SIAM
We introduce the classified stable matching problem, a problem motivated by academic
hiring. Suppose that a number of institutes are hiring faculty members from a pool of …

Size versus stability in the marriage problem

P Biró, DF Manlove, S Mittal - Theoretical Computer Science, 2010 - Elsevier
Given an instance I of the classical Stable Marriage problem with Incomplete preference lists
(smi), a maximum cardinality matching can be larger than a stable matching. In many large …

Matchmaker: Stable task assignment with bounded constraints for crowdsourcing platforms

X Yin, Y Chen, C Xu, S Yu, B Li - IEEE Internet of Things …, 2020 - ieeexplore.ieee.org
Crowdsourcing has become a popular paradigm to leverage the collective intelligence of
massive crowd workers to perform certain tasks in a cost-effective way. Task assignment is …