activity
20132024
most citedStable Nash Equilibria in the Gale-Shapley Matching Game

3 citations · 6 across the 11 of their papers we have counts for

collaborators

12 papers

cs.GT2024

Computational Complexity of Envy-free and Exchange-stable Seat Arrangement Problems on Grid Graphs

Sota Kawase, Shuichi Miyazaki

The Seat Arrangement Problem is a problem of finding a desirable seat arrangement for given preferences of agents and a seat graph that represents a configuration of seats. In this…

cs.CC2023

Marriage and Roommate

Kazuo Iwama, Shuichi Miyazaki

This paper has two objectives. One is to give a linear time algorithm that solves the stable roommates problem (i.e., obtains one stable matching) using the stable marriage problem…

cs.DS2022

Capacity-Insensitive Algorithms for Online Facility Assignment Problems on a Line

Tsubasa Harada, Toshiya Itoh, Shuichi Miyazaki

In the online facility assignment problem OFA(k,\ell), there exist k servers with a capacity \ell \geq 1 on a metric space and a request arrives one-by-one. The task of an online a…

cs.GT2022

Incomplete List Setting of the Hospitals/Residents Problem with Maximally Satisfying Lower Quotas

Kazuhisa Makino, Shuichi Miyazaki, Yu Yokoi

To mitigate the imbalance in the number of assignees in the Hospitals/Residents problem, Goko et al. [Goko et al., Maximally Satisfying Lower Quotas in the Hospitals/Residents Prob…

cs.DS2021

Refined Computational Complexities of Hospitals/Residents Problem with Regional Caps

Koki Hamada, Shuichi Miyazaki

The Hospitals/Residents problem (HR) is a many-to-one matching problem whose solution concept is stability. It is widely used in assignment systems such as assigning medical studen…

cs.GT2021★ 2 cited

Maximally Satisfying Lower Quotas in the Hospitals/Residents Problem with Ties

Hiromichi Goko, Kazuhisa Makino, Shuichi Miyazaki +1

Motivated by the serious problem that hospitals in rural areas suffer from a shortage of residents, we study the Hospitals/Residents model in which hospitals are associated with lo…

cs.DS2020

Competitive Analysis for Two Variants of Online Metric Matching Problem

Toshiya Itoh, Shuichi Miyazaki, Makoto Satake

In this paper, we study two variants of the online metric matching problem. The first problem is the online metric matching problem where all the servers are placed at one of two p…

cs.DS2020

Strongly Stable and Maximum Weakly Stable Noncrossing Matchings

Koki Hamada, Shuichi Miyazaki, Kazuya Okamoto

In IWOCA 2019, Ruangwises and Itoh introduced stable noncrossing matchings, where participants of each side are aligned on each of two parallel lines, and no two matching edges are…

cs.DS2019

An FPT Algorithm for Max-Cut Parameterized by Crossing Number

Yasuaki Kobayashi, Yusuke Kobayashi, Shuichi Miyazaki +1

The Max-Cut problem is known to be NP-hard on general graphs, while it can be solved in polynomial time on planar graphs. In this paper, we present a fixed-parameter tractable algo…

cs.GT2019

Strategy-Proof Approximation Algorithms for the Stable Marriage Problem with Ties and Incomplete Lists

Koki Hamada, Shuichi Miyazaki, Hiroki Yanagisawa

In the stable marriage problem (SM), a mechanism that always outputs a stable matching is called a stable mechanism. One of the well-known stable mechanisms is the man-oriented Gal…

cs.DS2015★ 3 cited

Stable Nash Equilibria in the Gale-Shapley Matching Game

Sushmita Gupta, Kazuo Iwama, Shuichi Miyazaki

In this article we study the stable marriage game induced by the men-proposing Gale-Shapley algorithm. Our setting is standard: all the lists are complete and the matching mechanis…

cs.DS2013★ 1 cited

Better Bounds for Online -Frame Throughput Maximization in Network Switches

Jun Kawahara, Koji M. Kobayashi, Shuichi Miyazaki

We consider a variant of the online buffer management problem in network switches, called the -frame throughput maximization problem (-FTM). This problem models the situation…