ArticleIEEE transactions on network science and engineering2026
Curvature on Graphs with Negative Edge Weights.
Article in IEEE transactions on network science and engineering, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Abstract
Discrete notions of curvature have yielded important insights into the fragility of networks, including financial, gene regulatory, and social networks. These quantitative measures help identify critical nodes and pathways whose failure may cause disruption to the network's overall functionality. One such measure, the Ollivier-Ricci (OR) curvature, which is the focus of this paper, extends this inherently geometric concept into the setting of graphs by evaluation via the cost of transporting node distributions. However, a previously unstudied and salient feature of graphs is that links between nodes may reflect more than a spatial - separation links may be inhibitory or antagonistic, a quality that is not captured in the geometry of continuous spaces. To this end, we present the notions of a
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