Isoperimetric numbers and spectral radius of some infinite planar graphs
Mathematica slovaca, Tome 42 (1992) no. 4, pp. 411-425
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 05C50, 05C99, 52B60
@article{MASLO_1992_42_4_a3,
     author = {Mohar, Bojan},
     title = {Isoperimetric numbers and spectral radius of some infinite planar graphs},
     journal = {Mathematica slovaca},
     pages = {411--425},
     year = {1992},
     volume = {42},
     number = {4},
     mrnumber = {1195035},
     zbl = {0756.05098},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_1992_42_4_a3/}
}
TY  - JOUR
AU  - Mohar, Bojan
TI  - Isoperimetric numbers and spectral radius of some infinite planar graphs
JO  - Mathematica slovaca
PY  - 1992
SP  - 411
EP  - 425
VL  - 42
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/MASLO_1992_42_4_a3/
LA  - en
ID  - MASLO_1992_42_4_a3
ER  - 
%0 Journal Article
%A Mohar, Bojan
%T Isoperimetric numbers and spectral radius of some infinite planar graphs
%J Mathematica slovaca
%D 1992
%P 411-425
%V 42
%N 4
%U http://geodesic.mathdoc.fr/item/MASLO_1992_42_4_a3/
%G en
%F MASLO_1992_42_4_a3
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/

[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