Curvature flows of maximal integral triangulations
Annales de l'Institut Fourier, Volume 49 (1999) no. 4, pp. 1115-1128.

This paper describes local configurations of some planar triangulations. A Gauss-Bonnet-like formula holds locally for a kind of discrete “curvature” associated to such triangulations.

Ce papier décrit les configurations locales de certaines triangulations du plan. Ces triangulations admettent une “courbure” discrète pour laquelle on a localement une formule de type Gauss-Bonnet

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     author = {Bacher, Roland},
     title = {Curvature flows of maximal integral triangulations},
     journal = {Annales de l'Institut Fourier},
     pages = {1115--1128},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {49},
     number = {4},
     year = {1999},
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Bacher, Roland. Curvature flows of maximal integral triangulations. Annales de l'Institut Fourier, Volume 49 (1999) no. 4, pp. 1115-1128. doi : 10.5802/aif.1710. https://aif.centre-mersenne.org/articles/10.5802/aif.1710/

[A] M. Aigner, Combinatorial Theory, Springer, 1979. | MR | Zbl

[C] H.S.M. Coxeter, An introduction to geometry, Wiley, 1989.

[DC] M. Do Carmo, Differential Geometry of Curves and Surfaces, Prentice Hall, 1976. | MR | Zbl

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