Geodesic
Isoperimetric numbers and spectral radius of some infinite planar graphs
Mathematica slovaca, Tome 42 (1992) no. 4, pp. 411-425

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Classification : 05C50, 05C99, 52B60 
Mohar, Bojan. Isoperimetric numbers and spectral radius of some infinite planar graphs. Mathematica slovaca, Tome 42 (1992) no. 4, pp. 411-425. http://geodesic.mathdoc.fr/item/MASLO_1992_42_4_a3/
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[1] BIGGS N. L., MOHAR B., SHAWE-TAYLOR J.: The spectral radius of infinite graphs. Bull. London Math. Soc. 20 (1988), 116-120. | MR | Zbl

[2] CHAVEL I.: Eigenvalues in Riemannian Geometry. Academic Press, Orlando, 1984. | MR | Zbl

[3] CHEEGER J.: A lower bound for the smallest eigenvalue of the Laplacian. In: Problems in Analysis (R. C. Gunning, ed.), Princeton Univ. Press, Princeton, 1970, pp. 195-199. | MR | Zbl

[4] DODZIUK J.: Difference equations, isoperimetric inequality and transience of certain random walks. Trans. Amer. Math. Soc. 284 (1984), 787-794. | MR | Zbl

[5] FREUDENTHAL H.: Über die Enden topologischer Räume and Gruppen. Math. Z. 33 (1931), 692-713. | MR

[6] MOHAR B.: The spectrum of an infinite graph. Linear Algebra Appl. 48 (1982), 245-256. | MR | Zbl

[7] MOHAR B.: Isoperimetric inequalities, growth and the spectrum of graphs. Linear Algebra Appl. 103 (1988), 119-131. | MR | Zbl

[8] HILTON P. J., WYLIE S.: An Introduction to Algebraic Topology - Homology Theory. Cambridge Univ. Press, Cambridge, 1960. | MR