Upper bounds for eigenvalues of the discrete and continuous Laplace operators

Advances in Mathematics

Volumn 117, Issue 2, 1996, Pages 165-178

  Chung, F R K ^a   Grigor'yan, A ^a   Yau, S T ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030577673     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.1996.0006     Document Type: Article

References (9)

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3. 3. F. R. K. CHUNG, "Spectral Graph Theory," CBMS Lecture Notes, AMS, Providence, RI, 1995.
4. 4. F. R. K. CHUNG, V. FABER AND THOMAS A. MANTEUEFEL, On the diameter of a graph from eigenvalues associated with its Laplacian, SIAM J. Discrete Math. 7 (1994), 443-457.
5. 5. E. B. DAVIES, Heat kernel bounds, conservation of probability and the Feller property, J. Analyse Math. 58 (1992), 99-119.
6. 6. A. GRIGOR'YAN, Integral maximum principle and its applications, Proc. Edinburgh Royal Society 124A (1994), 353-362.
7. 8. P. LI AND S. T. YAU, On the parabolic kernel of the Schrödinger operator, Acta Math. 156 (1986), 153-201.
8. 9. R. M. TANNER, Explicit construction of concentrators from generalized N-gons, SIAM J. Algebraic Discrete Methods 5 (1984), 287-294.
9. 10. F. R. K. CHUNG, A. GRIGOR'YAN, AND S. T. YAU, Eigenvalues and diameters for manifolds and graphs, preprint.