Geodesic
Cheeger inequalities for unbounded graph Laplacians
Journal of the European Mathematical Society, Tome 17 (2015) no. 2, pp. 259-271 Cet article a éte moissonné depuis la source EMS Press

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We use the concept of intrinsic metrics to give a new definition for an isoperimetric constant of a graph. We use this novel isoperimetric constant to prove a Cheeger-type estimate for the bottom of the spectrum which is nontrivial even if the vertex degrees are unbounded.
DOI : 10.4171/jems/503
Classification : 47-XX, 05-XX, 35-XX, 39-XX
Keywords: Isoperimetric inequality, intrinsic metric, Schrödinger operators, weighted graphs, curvature, volume growth 
@article{JEMS_2015_17_2_a1,
     author = {Frank Bauer and Matthias Keller and Rados{\l}aw K. Wojciechowski},
     title = {Cheeger inequalities for unbounded graph {Laplacians}},
     journal = {Journal of the European Mathematical Society},
     pages = {259--271},
     year = {2015},
     volume = {17},
     number = {2},
     doi = {10.4171/jems/503},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/503/}
}
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Frank Bauer; Matthias Keller; Radosław K. Wojciechowski. Cheeger inequalities for unbounded graph Laplacians. Journal of the European Mathematical Society, Tome 17 (2015) no. 2, pp. 259-271. doi: 10.4171/jems/503

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