The difference in length of curves in R^n Fasy, Brittany Terese We bound the difference in length of two curves in terms of their total curvatures and the Fréchet distance. The bound is independent of the dimension of the ambient Euclidean space, it improves upon a bound by Cohen-Steiner and Edelsbrunner, and it generalizes a result by Fáry and Chakerian. Springer Nature 2011 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/3781 Fasy BT. The difference in length of curves in R^n. <i>Acta Scientiarum Mathematicarum</i>. 2011;77(1-2):359-367. doi:<a href="https://doi.org/10.1007/BF03651375">10.1007/BF03651375</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1007/BF03651375 info:eu-repo/semantics/altIdentifier/issn/0001-6969 info:eu-repo/semantics/altIdentifier/e-issn/2064-8316 info:eu-repo/semantics/closedAccess