June 7, 2024, 4:43 a.m. | Maximilien Dreveton, Charbel Chucri, Matthias Grossglauser, Patrick Thiran

cs.LG updates on arXiv.org arxiv.org

arXiv:2406.03852v1 Announce Type: cross
Abstract: The metric backbone of a weighted graph is the union of all-pairs shortest paths. It is obtained by removing all edges $(u,v)$ that are not the shortest path between $u$ and $v$. In networks with well-separated communities, the metric backbone tends to preserve many inter-community edges, because these edges serve as bridges connecting two communities, but tends to delete many intra-community edges because the communities are dense. This suggests that the metric backbone would dilute …

abstract arxiv communities community cs.lg cs.si graph math.pr networks path type union

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