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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2021, Volume 314, Pages 318–337
DOI: https://doi.org/10.4213/tm4199 (Mi tm4199) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Spectral Gap and the Diameter of Cayley Graphs

I. D. Shkredov

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Full-text PDF (282 kB) Citations (2)
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DOI: https://doi.org/10.4213/tm4199
Abstract: We obtain a new bound connecting the first nontrivial eigenvalue of the Laplace operator on a graph and the diameter of the graph. This bound is effective for graphs with small diameter as well as for graphs with the number of maximal paths comparable to the expected value.
Funding agency Grant number
Russian Science Foundation 19-11-00001
This work is supported by the Russian Science Foundation under grant 19-11-00001.
Received: April 22, 2020
Revised: March 5, 2021
Accepted: April 23, 2021
English version:
Proceedings of the Steklov Institute of Mathematics, 2021, Volume 314, Pages 307–324
DOI: https://doi.org/10.1134/S0081543821040167
Bibliographic databases:
Document Type: Article
UDC: 511.218+511.33
Language: Russian
Citation: I. D. Shkredov, “On the Spectral Gap and the Diameter of Cayley Graphs”, Analytic and Combinatorial Number Theory, Collected papers. In commemoration of the 130th birth anniversary of Academician Ivan Matveevich Vinogradov, Trudy Mat. Inst. Steklova, 314, Steklov Math. Inst., Moscow, 2021, 318–337; Proc. Steklov Inst. Math., 314 (2021), 307–324
Citation in format AMSBIB
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\by I.~D.~Shkredov
\paper On the Spectral Gap and the Diameter of Cayley Graphs
\inbook Analytic and Combinatorial Number Theory
\bookinfo Collected papers. In commemoration of the 130th birth anniversary of Academician Ivan Matveevich Vinogradov
\serial Trudy Mat. Inst. Steklova
\yr 2021
\vol 314
\pages 318--337
\publ Steklov Math. Inst.
\publaddr Moscow
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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