| Title:
|
Isoperimetric numbers and spectral radius of some infinite planar graphs (English) |
| Author:
|
Mohar, Bojan |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
42 |
| Issue:
|
4 |
| Year:
|
1992 |
| Pages:
|
411-425 |
| . |
| Category:
|
math |
| . |
| MSC:
|
05C50 |
| MSC:
|
05C99 |
| MSC:
|
52B60 |
| idZBL:
|
Zbl 0756.05098 |
| idMR:
|
MR1195035 |
| . |
| Date available:
|
2009-09-25T10:41:35Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128596 |
| . |
| Reference:
|
[1] BIGGS N. L., MOHAR B., SHAWE-TAYLOR J.: The spectral radius of infinite graphs.Bull. London Math. Soc. 20 (1988), 116-120. Zbl 0671.05052, MR 0924236 |
| Reference:
|
[2] CHAVEL I.: Eigenvalues in Riemannian Geometry.Academic Press, Orlando, 1984. Zbl 0551.53001, MR 0768584 |
| Reference:
|
[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. Zbl 0212.44903, MR 0402831 |
| Reference:
|
[4] DODZIUK J.: Difference equations, isoperimetric inequality and transience of certain random walks.Trans. Amer. Math. Soc. 284 (1984), 787-794. Zbl 0512.39001, MR 0743744 |
| Reference:
|
[5] FREUDENTHAL H.: Über die Enden topologischer Räume and Gruppen.Math. Z. 33 (1931), 692-713. MR 1545233 |
| Reference:
|
[6] MOHAR B.: The spectrum of an infinite graph.Linear Algebra Appl. 48 (1982), 245-256. Zbl 0502.05040, MR 0683222 |
| Reference:
|
[7] MOHAR B.: Isoperimetric inequalities, growth and the spectrum of graphs.Linear Algebra Appl. 103 (1988), 119-131. Zbl 0658.05055, MR 0943998 |
| Reference:
|
[8] HILTON P. J., WYLIE S.: An Introduction to Algebraic Topology - Homology Theory.Cambridge Univ. Press, Cambridge, 1960. MR 0115161 |
| . |
