Isoperimetric numbers and spectral radius of some infinite planar graphs

Bojan Mohar

Mathematica Slovaca (1992)

  • Volume: 42, Issue: 4, page 411-425
  • ISSN: 0139-9918

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Mohar, Bojan. "Isoperimetric numbers and spectral radius of some infinite planar graphs." Mathematica Slovaca 42.4 (1992): 411-425. <http://eudml.org/doc/31526>.

@article{Mohar1992,
author = {Mohar, Bojan},
journal = {Mathematica Slovaca},
keywords = {isoperimetric numbers; spectral radius; infinite planar graphs; triangulation},
language = {eng},
number = {4},
pages = {411-425},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Isoperimetric numbers and spectral radius of some infinite planar graphs},
url = {http://eudml.org/doc/31526},
volume = {42},
year = {1992},
}

TY - JOUR
AU - Mohar, Bojan
TI - Isoperimetric numbers and spectral radius of some infinite planar graphs
JO - Mathematica Slovaca
PY - 1992
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 42
IS - 4
SP - 411
EP - 425
LA - eng
KW - isoperimetric numbers; spectral radius; infinite planar graphs; triangulation
UR - http://eudml.org/doc/31526
ER -

References

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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. (1988) Zbl0671.05052MR0924236
  2. CHAVEL I., Eigenvalues in Riemannian Geometry, Academic Press, Orlando, 1984. (1984) Zbl0551.53001MR0768584
  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. (1970) Zbl0212.44903MR0402831
  4. DODZIUK J., Difference equations, isoperimetric inequality and transience of certain random walks, Trans. Amer. Math. Soc. 284 (1984), 787-794. (1984) Zbl0512.39001MR0743744
  5. FREUDENTHAL H., Über die Enden topologischer Räume and Gruppen, Math. Z. 33 (1931), 692-713. (1931) MR1545233
  6. MOHAR B., The spectrum of an infinite graph, Linear Algebra Appl. 48 (1982), 245-256. (1982) Zbl0502.05040MR0683222
  7. MOHAR B., Isoperimetric inequalities, growth and the spectrum of graphs, Linear Algebra Appl. 103 (1988), 119-131. (1988) Zbl0658.05055MR0943998
  8. HILTON P. J., WYLIE S., An Introduction to Algebraic Topology - Homology Theory, Cambridge Univ. Press, Cambridge, 1960. (1960) MR0115161

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