[Inégalités de Cheeger pour les limites de graphes]
Nous introduisons des notions de constantes de Cheeger pour les graphons et graphings. Nous prouvons des inégalites de Cheeger et Buser pour celles-ci. Ce faisant, nous prouvons des formules de la co-aire pour les graphons et graphings.
We introduce notions of Cheeger constants for graphons and graphings. We prove Cheeger and Buser inequalities for these. On the way we prove co-area formulae for graphons and graphings.
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Keywords: graph limits, graphon, graphing, Cheeger constant
Mot clés : limites de graphes, graphon, graphing, Constante de Cheeger
CC-BY-ND 4.0
@article{AIF_2024__74_1_257_0,
author = {Khetan, Abhishek and Mj, Mahan},
title = {Cheeger inequalities for graph limits},
journal = {Annales de l'Institut Fourier},
pages = {257--305},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {74},
number = {1},
year = {2024},
doi = {10.5802/aif.3584},
language = {en},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.3584/}
}
TY - JOUR AU - Khetan, Abhishek AU - Mj, Mahan TI - Cheeger inequalities for graph limits JO - Annales de l'Institut Fourier PY - 2024 SP - 257 EP - 305 VL - 74 IS - 1 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.3584/ DO - 10.5802/aif.3584 LA - en ID - AIF_2024__74_1_257_0 ER -
%0 Journal Article %A Khetan, Abhishek %A Mj, Mahan %T Cheeger inequalities for graph limits %J Annales de l'Institut Fourier %D 2024 %P 257-305 %V 74 %N 1 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.3584/ %R 10.5802/aif.3584 %G en %F AIF_2024__74_1_257_0
Khetan, Abhishek; Mj, Mahan. Cheeger inequalities for graph limits. Annales de l'Institut Fourier, Tome 74 (2024) no. 1, pp. 257-305. doi : 10.5802/aif.3584. https://aif.centre-mersenne.org/articles/10.5802/aif.3584/
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