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- W4288112975 abstract "In this note we study the computational complexity of feedback arc set counting problems in directed graphs, highlighting some subtle yet common properties of counting classes. Counting the number of feedback arc sets of cardinality $k$ and the total number of feedback arc sets are #P-complete problems, while counting the number of minimum feedback arc sets is only proven to be #P-hard. Indeed, this latter problem is #.OptP[log n]-complete, hence if it belongs to #P then P=NP." @default.
- W4288112975 created "2022-07-28" @default.
- W4288112975 creator A5019284052 @default.
- W4288112975 date "2019-09-07" @default.
- W4288112975 modified "2023-09-27" @default.
- W4288112975 title "On the complexity of counting feedback arc sets" @default.
- W4288112975 doi "https://doi.org/10.48550/arxiv.1909.03339" @default.
- W4288112975 hasPublicationYear "2019" @default.
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