Duke Mathematical Journal
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Minimum higher eigenvalues of Laplacians on graphs

Joel Friedman
Source: Duke Math. J. Volume 83, Number 1 (1996), 1-18.
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Primary Subjects: 05C50
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077244245
Mathematical Reviews number (MathSciNet): MR1388841
Zentralblatt MATH identifier: 0858.05071
Digital Object Identifier: doi:10.1215/S0012-7094-96-08301-5

References

[AFKM86] R. Adler, J. Friedman, B. Kitchens, and B. Marcus, State splitting for variable length graphs, IEEE Trans. Inform. Theory 32 (1986), 108–115.
Zentralblatt MATH: 0591.94017
[Dod84] J. Dodziuk, Difference equations, isoperimetric inequality and transience of certain random walks, Trans. Amer. Math. Soc. 284 (1984), no. 2, 787–794.
Mathematical Reviews (MathSciNet): MR85m:58185
Zentralblatt MATH: 0512.39001
Digital Object Identifier: doi:10.2307/1999107
[Fri] J. Friedman, An algorithm to compute betti numbers, to appear.
[Fri93] J. Friedman, Some geometric aspects of graphs and their eigenfunctions, Duke Math. J. 69 (1993), no. 3, 487–525.
Mathematical Reviews (MathSciNet): MR94b:05134
Zentralblatt MATH: 0785.05066
Digital Object Identifier: doi:10.1215/S0012-7094-93-06921-9
Project Euclid: euclid.dmj/1077293725
[Sen81] E. Seneta, Non-negative Matrices and Markov Chains, 2nd ed., Springer Series in Statistics, Springer-Verlag, New York, 1981.
Mathematical Reviews (MathSciNet): MR85i:60058
Zentralblatt MATH: 0471.60001
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