메뉴 건너뛰기




Volumn 30, Issue 4, 2007, Pages 484-504

The diameter of randomly perturbed digraphs and some applications

Author keywords

Digraphs; k linked; Smoothed analysis; Strong connectivity

Indexed keywords


EID: 34547249887     PISSN: 10429832     EISSN: 10982418     Source Type: Journal    
DOI: 10.1002/rsa.20172     Document Type: Article
Times cited : (13)

References (30)
  • 2
    • 0042689506 scopus 로고    scopus 로고
    • Decreasing the diameter of bounded degree graphs
    • N. Alon, A. Gyárfás, and M. Ruszinkó, Decreasing the diameter of bounded degree graphs, J Graph Theory 35 (2000), 161-172.
    • (2000) J Graph Theory , vol.35 , pp. 161-172
    • Alon, N.1    Gyárfás, A.2    Ruszinkó, M.3
  • 3
    • 0001690318 scopus 로고    scopus 로고
    • A spectral technique for coloring random 3-colorable graphs
    • N. Alon and N. Kahale, "A spectral technique for coloring random 3-colorable graphs," SIAM Journal on Computing 26 (1997), 1733-1748.
    • (1997) SIAM Journal on Computing , vol.26 , pp. 1733-1748
    • Alon, N.1    Kahale, N.2
  • 4
    • 34547356435 scopus 로고    scopus 로고
    • L. Bechetti, S. Leonardi, A. Marchetti-Spaccamela, G. Schaefer, and T. Vredeveld, Smoothening helps: A probabilistic analysis of the multi-level feedback algorithm, Presented at FOCS03, 2003.
    • L. Bechetti, S. Leonardi, A. Marchetti-Spaccamela, G. Schaefer, and T. Vredeveld, "Smoothening helps: A probabilistic analysis of the multi-level feedback algorithm," Presented at FOCS03, 2003.
  • 6
    • 0001215301 scopus 로고
    • Coloring random and semi-random k-colorable graphs
    • A. Blum and J. Spencer, Coloring random and semi-random k-colorable graphs, J Algorithms 19 (1995), 204-234.
    • (1995) J Algorithms , vol.19 , pp. 204-234
    • Blum, A.1    Spencer, J.2
  • 8
    • 0037232181 scopus 로고    scopus 로고
    • How many random edges make a dense graph Hamiltonian?
    • T. Bohman, A. M. Frieze, and R. Martin, How many random edges make a dense graph Hamiltonian? Random Struct Algorithms 22 (2003), 33-42.
    • (2003) Random Struct Algorithms , vol.22 , pp. 33-42
    • Bohman, T.1    Frieze, A.M.2    Martin, R.3
  • 9
    • 11944253901 scopus 로고    scopus 로고
    • 2nd ed, Cambridge University Press, Cambridge
    • B. Bollobás, Random graphs, 2nd ed., Cambridge University Press, Cambridge, 2001.
    • (2001) Random graphs
    • Bollobás, B.1
  • 10
    • 0000062625 scopus 로고
    • The diameter of a cycle plus a random matching
    • B. Bollobás and F. Chung, The diameter of a cycle plus a random matching, SIAM J Discrete Math 1 (1988), 328-333.
    • (1988) SIAM J Discrete Math , vol.1 , pp. 328-333
    • Bollobás, B.1    Chung, F.2
  • 11
    • 84986468602 scopus 로고
    • Diameter bounds for altered graphs
    • F. Chung and M. Garey, Diameter bounds for altered graphs, J Graph Theory 8 (1984), 511-534.
    • (1984) J Graph Theory , vol.8 , pp. 511-534
    • Chung, F.1    Garey, M.2
  • 12
    • 3142649583 scopus 로고    scopus 로고
    • The size of the largest strongly connected component of a random digraph with a given degree sequence
    • C. Cooper and A. M. Frieze, The size of the largest strongly connected component of a random digraph with a given degree sequence, Combinatorics Probability Comput 13 (2004), 319-338.
    • (2004) Combinatorics Probability Comput , vol.13 , pp. 319-338
    • Cooper, C.1    Frieze, A.M.2
  • 13
    • 0000446439 scopus 로고    scopus 로고
    • On powerlaw relationships of the Internet topology
    • M. Faloutsos, P. Faloutsos, and C. Faloutsos, On powerlaw relationships of the Internet topology, SIGCOMM 99 (1999), 251-262.
    • (1999) SIGCOMM , vol.99 , pp. 251-262
    • Faloutsos, M.1    Faloutsos, P.2    Faloutsos, C.3
  • 14
    • 84990704681 scopus 로고
    • A tight upper bound on the cover time for random walks on graphs
    • U. Feige, A tight upper bound on the cover time for random walks on graphs, Random Struct Algorithms 6 (1995), 51-54.
    • (1995) Random Struct Algorithms , vol.6 , pp. 51-54
    • Feige, U.1
  • 15
    • 0035734153 scopus 로고    scopus 로고
    • Heuristics for semirandom graph problems
    • U. Feige and J. Kilian, Heuristics for semirandom graph problems, J Comput Syst Sci 63 (2001), 639-671.
    • (2001) J Comput Syst Sci , vol.63 , pp. 639-671
    • Feige, U.1    Kilian, J.2
  • 16
    • 0034406149 scopus 로고    scopus 로고
    • Finding and certifying a large hidden clique in a semirandom graph
    • 16
    • [16) U. Feige and R. Krauthgamer, Finding and certifying a large hidden clique in a semirandom graph, Random Struct Algorithms 16 (2000), 195-208.
    • (2000) Random Struct Algorithms , vol.16 , pp. 195-208
    • Feige, U.1    Krauthgamer, R.2
  • 17
    • 0032108275 scopus 로고    scopus 로고
    • Property testing and its connection to learning and approximation
    • O. Goldreich, S. Goldwasser, and D. Ron, Property testing and its connection to learning and approximation, J ACM 45 (1998), 653-750.
    • (1998) J ACM , vol.45 , pp. 653-750
    • Goldreich, O.1    Goldwasser, S.2    Ron, D.3
  • 18
    • 0030694952 scopus 로고    scopus 로고
    • Property testing in bounded degree graphs
    • O. Goldreich and D. Ron, "Property testing in bounded degree graphs," In Proceedings of the 29th STOC, 1997, pp. 406-415.
    • (1997) Proceedings of the 29th STOC , pp. 406-415
    • Goldreich, O.1    Ron, D.2
  • 20
    • 0016542395 scopus 로고
    • Space-bounded reducibility among combinatorial problems
    • N. D. Jones, Space-bounded reducibility among combinatorial problems, J Comput Syst Sci 11 (1975), 68-75.
    • (1975) J Comput Syst Sci , vol.11 , pp. 68-75
    • Jones, N.D.1
  • 21
    • 84990713780 scopus 로고
    • The transitive closure of a random digraph
    • R. Karp, The transitive closure of a random digraph, Random Struct Algorithms 1 (1990), 73-94.
    • (1990) Random Struct Algorithms , vol.1 , pp. 73-94
    • Karp, R.1
  • 23
    • 38249006948 scopus 로고
    • On read-once vs. multiple access randomness in logspace
    • N. Nisan, On read-once vs. multiple access randomness in logspace, Theor Comput Sci 107 (1993), 135-144.
    • (1993) Theor Comput Sci , vol.107 , pp. 135-144
    • Nisan, N.1
  • 25
    • 0021469810 scopus 로고
    • Generating quasi-random sequences from semi-random sources
    • M. Santha and U. Vazirani, Generating quasi-random sequences from semi-random sources, J Comput Syst Sci 33 (1986), 75-87.
    • (1986) J Comput Syst Sci , vol.33 , pp. 75-87
    • Santha, M.1    Vazirani, U.2
  • 28
    • 35248886169 scopus 로고    scopus 로고
    • Smoothed analysis: Motivation and discrete models
    • Proceedings of WADS, Springer-Verlag, Berlin
    • D. Spielman and S. H. Teng, "Smoothed analysis: Motivation and discrete models," In Proceedings of WADS 2003, Lecture notes in computer science, Springer-Verlag, Berlin, 2003, pp. 256-270.
    • (2003) Lecture notes in computer science , pp. 256-270
    • Spielman, D.1    Teng, S.H.2
  • 30
    • 34547305419 scopus 로고    scopus 로고
    • H. Vollmer and K. W. Wagner, Measure one results in computational complexity theory, Advances in algorithms, languages, and complexity, D.-Z. Du and K.-I. Ko (Editors), Kluwer Academic Publishers, Dordrecht, 1997, pp. 285-312.
    • H. Vollmer and K. W. Wagner, "Measure one results in computational complexity theory," Advances in algorithms, languages, and complexity, D.-Z. Du and K.-I. Ko (Editors), Kluwer Academic Publishers, Dordrecht, 1997, pp. 285-312.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.