Improved expansion of random Cayley graphs

Discrete Mathematics and Theoretical Computer Science

Volumn 6, Issue 2, 2004, Pages 523-528

  Loh, Po Shen ^a   Schulman, Leonard J ^b  

^a CHURCHILL COLLEGE   (United Kingdom)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Cayley graphs; Expander graphs; Logarithmic generators; Second eigenvalue

Indexed keywords

EID: 33646450757     PISSN: 13658050     EISSN: 13658050     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

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2. 1, isoperimetric inequalities for graphs and superconcentrators. J. Comb. Theory, Series B, 38:73-88, 1985.
3. N. Alon and Y. Roichman. Random cayley graphs and expanders. Random Structures and Algorithms, 5: 271-284, 1994.
4. A. Lubotzky. Cayley graphs: Eigenvalues, expanders and random walks. In P. Rowlinson, editor, Surveys in Combinatorics 1995, pages 155-189. Cambridge University Press, 1995.
5. A. Lubotzky, R. Phillips, and P. Sarnak. Ramanujan graphs. Combinatorica, 8:261-277, 1988.
6. A. Russell and Z. Landau. Random Cayley graphs are expanders: a simple proof of the Alon-Roichman theorem. Electronic Journal of Combinatorics, 11(1):R62, 2004.
7. R. M. Tanner. Explicit construction of concentrators from generalized n-gons. SIAM J. Alg. Disc. Meth., 5:287-293, 1984.
8. A. Vershik and S. Kerov. Asymptotics of the largest and the typical dimensions of irreducible representations of a symmetric group. Funktsional. Anal. i Prilozhen, 19(1):25-36, 1985.
9. English translation: Functional Analysis and its Applications, 19(1):21-31, 1985.