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- W4210880265 abstract "We consider the problem of finding a cycle in a sparse directed graph G that is promised to be far from acyclic, meaning that the smallest feedback arc set , i.e., a subset of edges whose deletion results in an acyclic graph, in G is large. We prove an information-theoretic lower bound, showing that for N -vertex graphs with constant outdegree, any algorithm for this problem must make Ω̄(N 5/9 ) queries to an adjacency list representation of G . In the language of property testing, our result is an Ω̄(N 5/9) lower bound on the query complexity of one-sided algorithms for testing whether sparse digraphs with constant outdegree are far from acyclic. This is the first improvement on the Ω (√ N ) lower bound, implicit in the work of Bender and Ron, which follows from a simple birthday paradox argument." @default.
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- W4210880265 date "2022-10-10" @default.
- W4210880265 modified "2023-09-25" @default.
- W4210880265 title "A Lower Bound on Cycle-Finding in Sparse Digraphs" @default.
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- W4210880265 doi "https://doi.org/10.1145/3417979" @default.
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