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cs.GT2026
A Matroid Generalization of Weighted Popular Matching: Characterization and Algorithm
Yuni Iwamasa, Yusuke Kobayashi, Ryoga Mahara +1
We study a problem that unifies two major generalizations of popular matchings in the one-sided preference model. In a bipartite graph in which each vertex, or applicant, on one si…
cs.GT2022
Reforming an Envy-Free Matching
Takehiro Ito, Yuni Iwamasa, Naonori Kakimura +5
We consider the problem of reforming an envy-free matching when each agent is assigned a single item. Given an envy-free matching, we consider an operation to exchange the item of…