Two bounds on the noncommuting graph

DOI10.1515/math-2015-0027zbMath1346.05102arXiv1502.01287OpenAlexW3105664938MaRDI QIDQ317649

Stefano Nardulli, Francesco G. Russo

Publication date: 4 October 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.01287

zbMATH Keywords

isoperimetric inequalityLaplacian operatorSobolev-Poincaré inequalitynoncommuting graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Finite nilpotent groups, (p)-groups (20D15) Signed and weighted graphs (05C22)

Related Items (2)

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Cites Work

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• On the Bakry-Émery condition, the gradient estimates and the local-to-global property of \(\mathrm{RCD}^*(K,N)\) metric measure spaces
• Existence of isoperimetric regions in non-compact Riemannian manifolds under Ricci or scalar curvature conditions
• Groups with the same non-commuting graph.
• Non-commuting graph of a group.
• The isoperimetric profile of a noncompact Riemannian manifold for small volumes
• The probability that x and y commute in a compact group
• Sobolev inequalities in disguise
• THE PROBABILITY THAT AND COMMUTE IN A COMPACT GROUP
• Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure
• Higher eigenvalues and isoperimetric inequalities on Riemannian manifolds and graphs

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