2 citations · 7 across the 15 of their papers we have counts for
7 papers · 1 filter
Matroid Intersection under Restricted Oracles
Kristóf Bérczi, Tamás Király, Yutaro Yamaguchi +1
Matroid intersection is one of the most powerful frameworks of matroid theory that generalizes various problems in combinatorial optimization. Edmonds' fundamental theorem provides…
Solving the Maximum Popular Matching Problem with Matroid Constraints
Gergely Csáji, Tamás Király, Yu Yokoi
We consider the problem of finding a maximum popular matching in a many-to-many matching setting with two-sided preferences and matroid constraints. This problem was proposed by Ka…
Fast Primal-Dual Update against Local Weight Update in Linear Assignment Problem and Its Application
Kohei Morita, Shinya Shiroshita, Yutaro Yamaguchi +1
We consider a dynamic situation in the weighted bipartite matching problem: edge weights in the input graph are repeatedly updated and we are asked to maintain an optimal matching…
Maximum Stable Matching with Matroids and Partial Orders
Gergely Csáji, Tamás Király, Yu Yokoi
The Stable Marriage problem (SM), solved by the famous deferred acceptance algorithm of Gale and Shapley (GS), has many natural generalizations. If we allow ties in preferences, th…
Random Assignment of Indivisible Goods under Constraints
Yasushi Kawase, Hanna Sumita, Yu Yokoi
We investigate the problem of random assignment of indivisible goods, in which each agent has an ordinal preference and a constraint. Our goal is to characterize the conditions und…
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…
Hypergraph characterization of split matroids
Kristóf Bérczi, Tamás Király, Tamás Schwarcz +2
We provide a combinatorial study of split matroids, a class that was motivated by the study of matroid polytopes from a tropical geometry point of view. A nice feature of split mat…