{"publist_id":"2446","month":"01","intvolume":" 77","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"None","date_created":"2018-12-11T12:05:08Z","abstract":[{"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.","lang":"eng"}],"author":[{"first_name":"Brittany Terese","id":"F65D502E-E68D-11E9-9252-C644099818F6","full_name":"Fasy, Brittany Terese","last_name":"Fasy"}],"issue":"1-2","publication_status":"published","title":"The difference in length of curves in R^n","department":[{"_id":"HeEd"}],"volume":77,"status":"public","acknowledgement":"Funded by Graduate Aid in Areas of National Need (GAANN) Fellowship.","type":"journal_article","citation":{"mla":"Fasy, Brittany Terese. “The Difference in Length of Curves in R^n.” *Acta Sci. Math. (Szeged)*, vol. 77, no. 1–2, Szegedi Tudományegyetem, 2011, pp. 359–67.","ista":"Fasy BT. 2011. The difference in length of curves in R^n. Acta Sci. Math. (Szeged). 77(1–2), 359–367.","short":"B.T. Fasy, Acta Sci. Math. (Szeged) 77 (2011) 359–367.","ieee":"B. T. Fasy, “The difference in length of curves in R^n,” *Acta Sci. Math. (Szeged)*, vol. 77, no. 1–2. Szegedi Tudományegyetem, pp. 359–367, 2011.","ama":"Fasy BT. The difference in length of curves in R^n. *Acta Sci Math (Szeged)*. 2011;77(1-2):359-367.","apa":"Fasy, B. T. (2011). The difference in length of curves in R^n. *Acta Sci. Math. (Szeged)*. Szegedi Tudományegyetem.","chicago":"Fasy, Brittany Terese. “The Difference in Length of Curves in R^n.” *Acta Sci. Math. (Szeged)*. Szegedi Tudományegyetem, 2011."},"quality_controlled":"1","language":[{"iso":"eng"}],"publisher":"Szegedi Tudományegyetem","page":"359 - 367","day":"01","date_updated":"2021-01-12T07:52:09Z","_id":"3781","publication":"Acta Sci. Math. (Szeged)","year":"2011","date_published":"2011-01-01T00:00:00Z"}