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- W2952783274 abstract "Hyperbolicity measures, in terms of (distance) metrics, how close a given graph is to being a tree. Due to its relevance in modeling real-world networks, hyperbolicity has seen intensive research over the last years. Unfortunately, the best known algorithms for computing the hyperbolicity number of a graph (the smaller, the more tree-like) have running time $O(n^4)$, where $n$ is the number of graph vertices. Exploiting the framework of parameterized complexity analysis, we explore possibilities for linear-time FPT algorithms to compute hyperbolicity. For instance, we show that hyperbolicity can be computed in time $O(2^{O(k)} + n +m)$ ($m$ being the number of graph edges) while at the same time, unless the SETH fails, there is no $2^{o(k)}n^2$-time algorithm." @default.
- W2952783274 created "2019-06-27" @default.
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- W2952783274 date "2017-02-21" @default.
- W2952783274 modified "2023-09-30" @default.
- W2952783274 title "When can Graph Hyperbolicity be computed in Linear Time" @default.
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