[{"article_processing_charge":"No","day":"01","_id":"3781","OA_type":"closed access","acknowledgement":"Funded by Graduate Aid in Areas of National Need (GAANN) Fellowship. The author would like to thank Herbert Edelsbrunner for his discussions and guidance.","year":"2011","abstract":[{"lang":"eng","text":"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."}],"page":"359 - 367","das_tickbox":"1","author":[{"full_name":"Fasy, Brittany Terese","last_name":"Fasy","first_name":"Brittany Terese","id":"F65D502E-E68D-11E9-9252-C644099818F6"}],"intvolume":"        77","date_created":"2018-12-11T12:05:08Z","doi":"10.1007/BF03651375","publisher":"Springer Nature","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","publication_status":"published","citation":{"chicago":"Fasy, Brittany Terese. “The Difference in Length of Curves in R^n.” <i>Acta Scientiarum Mathematicarum</i>. Springer Nature, 2011. <a href=\"https://doi.org/10.1007/BF03651375\">https://doi.org/10.1007/BF03651375</a>.","ieee":"B. T. Fasy, “The difference in length of curves in R^n,” <i>Acta Scientiarum Mathematicarum</i>, vol. 77, no. 1–2. Springer Nature, pp. 359–367, 2011.","mla":"Fasy, Brittany Terese. “The Difference in Length of Curves in R^n.” <i>Acta Scientiarum Mathematicarum</i>, vol. 77, no. 1–2, Springer Nature, 2011, pp. 359–67, doi:<a href=\"https://doi.org/10.1007/BF03651375\">10.1007/BF03651375</a>.","ista":"Fasy BT. 2011. The difference in length of curves in R^n. Acta Scientiarum Mathematicarum. 77(1–2), 359–367.","ama":"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>","apa":"Fasy, B. T. (2011). The difference in length of curves in R^n. <i>Acta Scientiarum Mathematicarum</i>. Springer Nature. <a href=\"https://doi.org/10.1007/BF03651375\">https://doi.org/10.1007/BF03651375</a>","short":"B.T. Fasy, Acta Scientiarum Mathematicarum 77 (2011) 359–367."},"date_published":"2011-06-01T00:00:00Z","publist_id":"2446","corr_author":"1","title":"The difference in length of curves in R^n","type":"journal_article","issue":"1-2","quality_controlled":"1","department":[{"_id":"HeEd"}],"article_type":"original","date_updated":"2026-07-28T08:11:07Z","publication_identifier":{"eissn":["2064-8316"],"issn":["0001-6969"]},"oa_version":"None","volume":77,"month":"06","publication":"Acta Scientiarum Mathematicarum","language":[{"iso":"eng"}]}]