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Let $d \geq 2$.
Beardwood, J., Halton, J.H. and Hammersley, J. M. (1959). The shortest path through many points. Proc. Cambridge Philos. Soc
1959
Earlier work this paper cites.
Cheeger, J. (1970). A lower bound for the smallest eigenvalue of the Laplacian. Problems in analysis (Papers dedicated to Salomon Bochner, 1969)
1969
Earlier work this paper cites.
Buser, P. (1982). A note on the isoperimetric constant. Ann. Sci. École Norm. Sup. (4)
1982
Earlier work this paper cites.
Bhatt, S.N. and Leighton, F.T. (1984). A framework for solving VLSI graph layout problems. J. Comput. System Sci
1984
Earlier work this paper cites.
Leighton, T., Shor, P. (1989) Tight bounds for minimax grid matching with applications to the average case analysis of algorithms. Combinatorica
1989
Earlier work this paper cites.
Shor, P. W. and Yukich, J. E. (1991). Minimax grid matching and empirical measures. Ann. Probab
1991
Earlier work this paper cites.
Diekmann, R., Monien, B., Preis, R. (1995). Using helpful sets to improve graph bisections. Interconnection networks and mapping and scheduling parallel computations
1995
Earlier work this paper cites.
Chung, F.R.K. (1997) Spectral Graph Theory
1997
Earlier work this paper cites.
Penrose, M.D. (1997). The longest edge of the random minimal spanning tree. Ann. Appl. Probab
1997
Earlier work this paper cites.
Braides, A. (1998). Approximation of Free-Discontinuity Problems
1998
Earlier work this paper cites.
Billingsley, P. (1999). Convergence of Probability Measures
1999
Cited alongside, same era.
Penrose, M.D. (2000) Vertex ordering and partitioning problems for random spatial graphs. Ann. Appl. Probab
2000
Cited alongside, same era.
Díaz, J., Penrose, M.D., Petit, J. and Serna, M. (2001). Approximating layout problems on random geometric graphs. J. Algorithms
2001
Cited alongside, same era.
Benjamini, I. and Mossel, E. (2003). On the mixing time of a simple random walk on the super critical percolation cluster. Probab. Theory Relat. Fields
2003
Cited alongside, same era.
Penrose, M. (2003) Random Geometric Graphs
2003
Cited alongside, same era.
Henrot, A. and Pierre, M. (2005) Variation et Optimisation de Formes. Une Analyse Géométrique
Caselles, V., Chambolle, A. and Novaga, M. (2010) Some remarks on uniqueness and regularity of Cheeger sets. Rend. Semin. Mat. Univ. Padova
2010
Later among the works it cites.
Edelsbrunner, H. and Harer, J.L. (2010). Computational topology. An introduction. American Mathematical Society, Providence, RI
2010
Later among the works it cites.
Arias-Castro, E., Pelletier, B. and Pudlo, P. (2012). The normalized graph cut and Cheeger constant: from discrete to continuous. Adv. Appl. Probab
2012
Later among the works it cites.
Kahle, M. (2014). Topology of random simplicial complexes: a survey. Algebraic topology: applications and new directions
2014
Later among the works it cites.
García Trillos, N. and Slepcev, D. (2015). On the rate of convergence of empirical measures in ∞ \infty -transportation distance. Canad. J. Math
2015
Later among the works it cites.
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2005
Cited alongside, same era.
Cuevas, A., Fraiman, R. and Rodríguez-Casal, A. (2007). A nonparametric approach to the estimation of lengths and surface areas. Ann. Statist
2007
Cited alongside, same era.
von Luxburg, U. (2007) A tutorial on spectral clustering. Stat. Comput
2007
Cited alongside, same era.
Carlsson, G. (2009). Topology and data. Bull. Amer. Math. Soc. (N.S.)
2009
Cited alongside, same era.
García Trillos, N. and Slepčev, D. (2016). Continuum limit of total variation on point clouds. Arch. Ration. Mech. Anal
2016
Later among the works it cites.
García Trillos, N., Slepčev, D., von Brecht, J., Laurent, T. and Bresson, X. (2016). Consistency of Cheeger and ratio graph cuts. J. Mach. Learn. Res
2016
Later among the works it cites.
García Trillos, N., Slepčev, D. and von Brecht, J. (2017). Estimating perimeter using graph cuts. Adv. in Appl. Probab
2017
Later among the works it cites.
Kiwi, M. and Mitsche, D. (2018) Spectral gap of random hyperbolic graphs and related parameters. Ann. Appl. Probab
2018
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