메뉴 건너뛰기




Volumn , Issue , 2004, Pages 404-412

Constructing expander graphs by 2-lifts and discrepancy vs. spectral gap

Author keywords

Discrepancy; Expander Graphs; Lifts; Lifts of Graphs; Signed Graphs

Indexed keywords

ALGEBRA; DISCRETE TIME CONTROL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; POLYNOMIALS; RANDOM PROCESSES; THEOREM PROVING;

EID: 17744375416     PISSN: 02725428     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (8)

References (28)
  • 1
    • 0009918139 scopus 로고
    • Recursive construction for 3-regular expanders
    • M. Ajtai. Recursive construction for 3-regular expanders. Combinatorica, 14(4):379-416, 1994.
    • (1994) Combinatorica , vol.14 , Issue.4 , pp. 379-416
    • Ajtai, M.1
  • 2
    • 17744380051 scopus 로고    scopus 로고
    • Personal communication
    • N. Alon. Personal communication.
    • Alon, N.1
  • 3
    • 51249173340 scopus 로고
    • Eigenvalues and expanders
    • Theory of computing (Singer Island, Fla., 1984)
    • N. Alon. Eigenvalues and expanders. Combinatorica, 6(2):83-96, 1986. Theory of computing (Singer Island, Fla., 1984).
    • (1986) Combinatorica , vol.6 , Issue.2 , pp. 83-96
    • Alon, N.1
  • 4
    • 84990668575 scopus 로고
    • A parallel algorithmic version of the local lemma
    • N. Alon. A parallel algorithmic version of the local lemma. Random Structures Algorithms, 2(4):367-378, 1991.
    • (1991) Random Structures Algorithms , vol.2 , Issue.4 , pp. 367-378
    • Alon, N.1
  • 5
    • 38249033599 scopus 로고
    • Better expanders and superconcentrators
    • N. Alon, Z. Galil, and V. D. Milman. Better expanders and superconcentrators. J. Algorithms, 8(3):337-347, 1987.
    • (1987) J. Algorithms , vol.8 , Issue.3 , pp. 337-347
    • Alon, N.1    Galil, Z.2    Milman, V.D.3
  • 7
    • 33750994100 scopus 로고
    • 1, isoperimetric inequalities for graphs, and superconcentrators
    • 1, isoperimetric inequalities for graphs, and superconcentrators. J. Combin. Theory Ser. B, 38(1):73-88, 1985.
    • (1985) J. Combin. Theory Ser. B , vol.38 , Issue.1 , pp. 73-88
    • Alon, N.1    Milman, V.D.2
  • 8
    • 0003430191 scopus 로고    scopus 로고
    • Wiley-Interscience Series in Discrete Mathematics and Optimization. Wiley-Interscience [John Wiley & Sons], New York, second edition. With an appendix on the life and work of Paul Erdo″s
    • N. Alon and J. H. Spencer. The probabilistic method. Wiley-Interscience Series in Discrete Mathematics and Optimization. Wiley-Interscience [John Wiley & Sons], New York, second edition, 2000. With an appendix on the life and work of Paul Erdo″s.
    • (2000) The Probabilistic Method
    • Alon, N.1    Spencer, J.H.2
  • 9
    • 0036433707 scopus 로고    scopus 로고
    • Random graph coverings. I. General theory and graph connectivity
    • A. Amit and N. Linial. Random graph coverings. I. General theory and graph connectivity. Combinatorica, 22(1):1-18, 2002.
    • (2002) Combinatorica , vol.22 , Issue.1 , pp. 1-18
    • Amit, A.1    Linial, N.2
  • 11
    • 0036103291 scopus 로고    scopus 로고
    • Random lifts of graphs: Independence and chromatic number
    • A. Amit, N. Linial, and J. Matoušek. Random lifts of graphs: independence and chromatic number. Random Structures Algorithms, 20(1): 1-22, 2002.
    • (2002) Random Structures Algorithms , vol.20 , Issue.1 , pp. 1-22
    • Amit, A.1    Linial, N.2    Matoušek, J.3
  • 13
    • 0000973460 scopus 로고
    • Problems and results on 3-chromatic hypergraphs and some related questions
    • Colloq. Math. Soc. János Bolyai, Vol. 10. North-Holland, Amsterdam
    • P. Erdo″s and L. Lovász. Problems and results on 3-chromatic hypergraphs and some related questions. In Infinite and finite sets (Colloq., Keszthely, 1973; dedicated to P. Erdo″s on his 60th birthday), Vol. II, pages 609-627. Colloq. Math. Soc. János Bolyai, Vol. 10. North-Holland, Amsterdam, 1975.
    • (1975) Infinite and Finite Sets (Colloq., Keszthely, 1973; Dedicated to P. Erdo″s on His 60th Birthday) , vol.2 , pp. 609-627
    • Erdos, P.1    Lovász, L.2
  • 15
    • 0000037976 scopus 로고
    • On the second eigenvalue and random walks in random d-regular graphs
    • J. Friedman. On the second eigenvalue and random walks in random d-regular graphs. Combinatorica, 11(4):331-362, 1991.
    • (1991) Combinatorica , vol.11 , Issue.4 , pp. 331-362
    • Friedman, J.1
  • 16
    • 0038171313 scopus 로고    scopus 로고
    • Relative expanders or weakly relatively Ramanujan graphs
    • J. Friedman. Relative expanders or weakly relatively Ramanujan graphs. Duke Math. J., 118(1):19-35, 2003.
    • (2003) Duke Math. J. , vol.118 , Issue.1 , pp. 19-35
    • Friedman, J.1
  • 18
    • 0000630365 scopus 로고    scopus 로고
    • Splitting an expander graph
    • A. M. Frieze and M. Molloy. Splitting an expander graph. J. Algorithms, 33(1): 166-172, 1999.
    • (1999) J. Algorithms , vol.33 , Issue.1 , pp. 166-172
    • Frieze, A.M.1    Molloy, M.2
  • 19
    • 0000871697 scopus 로고
    • Explicit constructions of linear-sized superconcentrators
    • Special issued dedicated to Michael Machtey
    • O. Gabber and Z. Galil. Explicit constructions of linear-sized superconcentrators. J. Comput. System Sci., 22(3):407-420, 1981. Special issued dedicated to Michael Machtey.
    • (1981) J. Comput. System Sci. , vol.22 , Issue.3 , pp. 407-420
    • Gabber, O.1    Galil, Z.2
  • 21
    • 33645948298 scopus 로고    scopus 로고
    • Random lifts of graphs: Perfect matchings
    • To appear
    • N. Linial and E. Rozenman. Random lifts of graphs: Perfect matchings. To appear in Combinatorica.
    • Combinatorica
    • Linial, N.1    Rozenman, E.2
  • 24
    • 0000789645 scopus 로고
    • Explicit constructions of expanders
    • G. A. Margulis. Explicit constructions of expanders. Problemy Peredači Informacii, 9(4):71-80, 1973.
    • (1973) Problemy Peredači Informacii , vol.9 , Issue.4 , pp. 71-80
    • Margulis, G.A.1
  • 25
    • 0003059022 scopus 로고
    • Explicit group-theoretic constructions of combinatorial schemes and their applications in the construction of expanders and concentrators
    • G. A. Margulis. Explicit group-theoretic constructions of combinatorial schemes and their applications in the construction of expanders and concentrators, Problemy Peredachi Informatsii, 24(1):51-60, 1988.
    • (1988) Problemy Peredachi Informatsii , vol.24 , Issue.1 , pp. 51-60
    • Margulis, G.A.1
  • 26
    • 0027641832 scopus 로고
    • Small-bias probability spaces: Efficient constructions and applications
    • J. Naor and M. Naor. Small-bias probability spaces: efficient constructions and applications. SIAM J. Comput., 22(4):838-856, 1993.
    • (1993) SIAM J. Comput. , vol.22 , Issue.4 , pp. 838-856
    • Naor, J.1    Naor, M.2
  • 27
    • 0000437003 scopus 로고
    • On the second eigenvalue of a graph
    • A. Nilli. On the second eigenvalue of a graph. Discrete Math., 91(2):207-210, 1991.
    • (1991) Discrete Math. , vol.91 , Issue.2 , pp. 207-210
    • Nilli, A.1
  • 28
    • 0036000527 scopus 로고    scopus 로고
    • Entropy waves, the zig-zag graph product, and new constant-degree expanders
    • O. Reingold, S. Vadhan, and A. Wigderson. Entropy waves, the zig-zag graph product, and new constant-degree expanders. Ann. of Math. (2), 155(1):157-187, 2002.
    • (2002) Ann. of Math. (2) , vol.155 , Issue.1 , pp. 157-187
    • Reingold, O.1    Vadhan, S.2    Wigderson, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.