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- W2765379809 abstract "Three well-studied types of subgraph-restricted matchings are induced matchings, uniquely restricted matchings, and acyclic matchings. While it is hard to determine the maximum size of a matching of each of these types, whether some given graph has a maximum matching that is induced or has a maximum matching that is uniquely restricted, can both be decided efficiently. In contrast to that we show that deciding whether a given bipartite graph of maximum degree at most four has a maximum matching that is acyclic is NP-complete. Furthermore, we show that maximum weight acyclic matchings can be determined efficiently for $P_4$-free graphs and $2P_3$-free graphs, and we characterize the graphs for which every maximum matching is acyclic." @default.
- W2765379809 created "2017-11-10" @default.
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- W2765379809 date "2017-10-23" @default.
- W2765379809 modified "2023-09-27" @default.
- W2765379809 title "On some hard and some tractable cases of the maximum acyclic matching problem" @default.
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- W2765379809 doi "https://doi.org/10.48550/arxiv.1710.08236" @default.
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