Print Email Facebook Twitter Finding shortest and nearly shortest path nodes in large substantially incomplete networks by hyperbolic mapping Title Finding shortest and nearly shortest path nodes in large substantially incomplete networks by hyperbolic mapping Author Kitsak, M.A. (TU Delft Network Architectures and Services; Northeastern University) Ganin, Alexander (University of Virginia; U.S. Army Engineer Research and Development Center) Elmokashfi, Ahmed (Simula Metropolitan Center for Digital Engineering) Cui, Hongzhu (Worcester Polytechnic Institute; Columbia University) Eisenberg, Daniel A. (Naval Post Graduate School of Engineering and Applied Sciences) Alderson, David L. (Naval Post Graduate School of Engineering and Applied Sciences) Korkin, Dmitry (Worcester Polytechnic Institute) Linkov, Igor (U.S. Army Engineer Research and Development Center) Date 2023 Abstract Dynamic processes on networks, be it information transfer in the Internet, contagious spreading in a social network, or neural signaling, take place along shortest or nearly shortest paths. Computing shortest paths is a straightforward task when the network of interest is fully known, and there are a plethora of computational algorithms for this purpose. Unfortunately, our maps of most large networks are substantially incomplete due to either the highly dynamic nature of networks, or high cost of network measurements, or both, rendering traditional path finding methods inefficient. We find that shortest paths in large real networks, such as the network of protein-protein interactions and the Internet at the autonomous system level, are not random but are organized according to latent-geometric rules. If nodes of these networks are mapped to points in latent hyperbolic spaces, shortest paths in them align along geodesic curves connecting endpoint nodes. We find that this alignment is sufficiently strong to allow for the identification of shortest path nodes even in the case of substantially incomplete networks, where numbers of missing links exceed those of observable links. We demonstrate the utility of latent-geometric path finding in problems of cellular pathway reconstruction and communication security. Subject OA-Fund TU Delft To reference this document use: http://resolver.tudelft.nl/uuid:084660bf-bf9a-4df8-bd62-c242a534d375 DOI https://doi.org/10.1038/s41467-022-35181-w ISSN 2041-1723 Source Nature Communications, 14 (1) Part of collection Institutional Repository Document type journal article Rights © 2023 M.A. Kitsak, Alexander Ganin, Ahmed Elmokashfi, Hongzhu Cui, Daniel A. Eisenberg, David L. Alderson, Dmitry Korkin, Igor Linkov Files PDF s41467_022_35181_w.pdf 4.38 MB Close viewer /islandora/object/uuid:084660bf-bf9a-4df8-bd62-c242a534d375/datastream/OBJ/view