article published yes Brittany Terese Fasy author F65D502E-E68D-11E9-9252-C644099818F6 HeEd department 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 Nature2011 eng 0001-6969 2064-8316 771-2359 - 367 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. Fasy, B. T. (2011). The difference in length of curves in R^n. <i> Acta Scientiarum Mathematicarum</i>. Springer Nature. 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. Fasy BT. The difference in length of curves in R^n. <i> Acta Scientiarum Mathematicarum</i>. 2011;77(1-2):359-367. Fasy, Brittany Terese. “The Difference in Length of Curves in R^n.” <i> Acta Scientiarum Mathematicarum</i>. Springer Nature, 2011. B.T. Fasy, Acta Scientiarum Mathematicarum 77 (2011) 359–367. Fasy BT. 2011. The difference in length of curves in R^n. Acta Scientiarum Mathematicarum. 77(1–2), 359–367. 37812018-12-11T12:05:08Z2026-07-08T05:42:26Z