Some ramanujan hypergraphs associated to GL(n,q)

Proceedings of the American Mathematical Society

Volumn 129, Issue 6, 2001, Pages 1623-1629

  Martínez, María G ^a,b   Stark, Harold M ^b   Terras, Audrey A ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646845477     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-00-05965-7     Document Type: Article

References (9)

1. N. Biggs, Algebraic Graph Theory, Cambridge U. Press, Cambridge, 1974. MR 50:151
2. F. R. K. Chung, The Laplacian of a hypergraph, DIMACS Series in Discrete Maih, and Theoretical Computer Science, Vol. 10, AMS, Providence, 1993, pp. 21-36. MR 95c:05083
3. K, Feng and W.-C. W. Li, Spectra of hypergraphs and applications, J. of Number Theory, 60 (1996), 1-22. MR 97f:05128
4. W.-C. W. Li and P. Sole, Spectra of regular graphs and hypergraphs and orthogonal polynomials, European J. of Combinatorics, 17 (1996), 461-477. MR 97m:05180
5. A. Lubotzky, R. Phillips, and P. Sarnak, Ramanujan hypergraphs, Combinatorica, 8 (1988), 261-277. MR 89m:05099
6. M. G. Martínez, The finite upper half space and related hypergraphs, J. of Number Theory, to appear.
7. M. G. Martínez, Ph.D. Thesis, U.C.S.D., 1998.
8. A. Terras, Fourier Analysis on Finite Groups and Applications, Cambridge U. Press, Cambridge, 1999. MR 2000d:11003
9. A. Terras, Survey of spectra of Laplacians on finite symmetric spaces, Experimental Math., 5 (1), (1996), 15-32. MR 97m:11154