Three-dimensional shape and connectivity of physical networks
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DOI: 10.1038/s41598-024-67359-1
Abstract: Data describing the three-dimensional structure of physical networks is increasingly available, leading to a surge of interest in network science to explore the relationship between the shape and connectivity of physical networks. We contribute to… read more here.
Keywords: shape connectivity; connectivity physical; three dimensional; physical networks ... See more keywords
Growth and arrest of topological cycles in small physical networks
Sign Up to like & getrecommendations! Published in 2020 at "Proceedings of the National Academy of Sciences of the United States of America"
DOI: 10.1073/pnas.2006305117
Abstract: The chordless cycle sizes of spatially embedded networks are demonstrated to follow an exponential growth law similar to random graphs if the number of nodes Nx is below a critical value N*. For covalent polymer… read more here.
Keywords: physical networks; topological cycles; growth arrest; arrest topological ... See more keywords
Braess's Paradox Analog in Physical Networks of Optimal Exploration.
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DOI: 10.1103/physrevlett.133.067401
Abstract: In stochastic exploration of geometrically embedded graphs, intuition suggests that providing a shortcut between a pair of nodes reduces the mean first passage time of the entire graph. Counterintuitively, we find a Braess's paradox analog.… read more here.
Keywords: exploration; analog physical; paradox analog; braess paradox ... See more keywords
Physical Networks Become What They Learn.
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DOI: 10.1103/physrevlett.134.147402
Abstract: Physical networks can develop tuned responses, or functions, by design, by evolution, or by learning via local rules. In all of these cases, tunable degrees of freedom characterizing internal interactions are modified to lower a… read more here.
Keywords: cost; networks become; become learn; physical networks ... See more keywords