The faber-krahn type isoperimetric inequalities for a graph

Tohoku Mathematical Journal

Volumn 51, Issue 2, 1999, Pages 267-281

  Katsuda, Atsushi ^a,b   Urakawa, Hajime ^a,b  

^a OKAYAMA UNIVERSITY   (Japan)

^b TOHOKU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033465442     PISSN: 00408735     EISSN: None     Source Type: Journal    
DOI: 10.2748/tmj/1178224816     Document Type: Article

References (5)

1. P. Berard, Spectral Geometry: Direct and Inverse Problems, Lecture Notes in Math. 1207, Springer-Verlag, 1986.
2. I. Chavel, Eigenvclues in Riemannian Geometry, Academic Press, New York 1984.
3. J. Dodziuk, Difference equations, isoperimetric inequality and transience of certain random walks, Trans. Amer. Math. Soc. 284 (1984), 787-794.
4. J. Friedman, Some geometric aspects of graphs and their eigenfunctions, Duke Math. J. 69 (1993), 487-525.
5. Y. Ohno and H. Urakawa, On the first eigenvalue of the combinatorial Laplacian for a graph, Interdisciplinary Inform. Sci. 1 (1994), 33-46.