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Volumn 23, Issue 3, 2014, Pages 367-385

The asymptotic number of connected d-uniform hypergraphs

Author keywords

2010 Mathematics subject classification: Primary 05C80; Secondary 05C65

Indexed keywords

CLASSIFICATION (OF INFORMATION);

EID: 84898041157     PISSN: 09635483     EISSN: 14692163     Source Type: Journal    
DOI: 10.1017/S0963548314000029     Document Type: Article
Times cited : (6)

References (18)
  • 2
    • 38049059404 scopus 로고    scopus 로고
    • Local limit theorems for the giant component of random hypergraphs
    • of Lecture Notes in Computer Science, Springer
    • Behrisch, M., Coja-Oghlan, A. and Kang, M. (2007) Local limit theorems for the giant component of random hypergraphs. In Proc. RANDOM 2007, Vol. 4627 of Lecture Notes in Computer Science, Springer, pp. 341-352.
    • (2007) Proc. RANDOM , vol.4627 , pp. 341-352
    • Behrisch, M.1    Coja-Oghlan, A.2    Kang, M.3
  • 3
    • 74349121387 scopus 로고    scopus 로고
    • The order of the giant component of random hypergraphs
    • Behrisch, M., Coja-Oghlan, A. and Kang, M. (2010) The order of the giant component of random hypergraphs. Random Struct. Alg. 36 149-184.
    • (2010) Random Struct. Alg. , vol.36 , pp. 149-184
    • Behrisch, M.1    Coja-Oghlan, A.2    Kang, M.3
  • 4
    • 84898025491 scopus 로고    scopus 로고
    • Local limit theorems for the giant component of random hypergraphs
    • doi:10.1017/S0963548314000017
    • Behrisch, M., Coja-Oghlan, A. and Kang, M. (2014) Local limit theorems for the giant component of random hypergraphs. Combin. Probab. Comput. doi:10.1017/S0963548314000017
    • (2014) Combin. Probab. Comput.
    • Behrisch, M.1    Coja-Oghlan, A.2    Kang, M.3
  • 5
    • 84990723730 scopus 로고
    • The asymptotic number of labeled connected graphs with a given number of vertices and edges
    • Bender, E. A., Canfield, E. R. and McKay, B. D. (1990) The asymptotic number of labeled connected graphs with a given number of vertices and edges. Random Struct. Alg. 1 127-169.
    • (1990) Random Struct. Alg. , vol.1 , pp. 127-169
    • Bender, E.A.1    Canfield, E.R.2    McKay, B.D.3
  • 6
    • 84990696075 scopus 로고
    • Asymptotic properties of labeled connected graphs
    • Bender, E. A., Canfield, E. R. and McKay, B. D. (1992) Asymptotic properties of labeled connected graphs. Random Struct. Alg. 3 183-202.
    • (1992) Random Struct. Alg. , vol.3 , pp. 183-202
    • Bender, E.A.1    Canfield, E.R.2    McKay, B.D.3
  • 7
    • 11944253901 scopus 로고    scopus 로고
    • second edition, Cambridge University Press
    • Bollob?as, B. (2001) Random Graphs, second edition, Cambridge University Press.
    • (2001) Random Graphs
    • Bollobas, B.1
  • 8
    • 34948874377 scopus 로고    scopus 로고
    • Counting Connected Graphs and Hypergraphs Via the Probabilistic Method
    • Coja-Oghlan, A., Moore, C. and Sanwalani, V. (2007) Counting connected graphs and hypergraphs via the probabilistic method. Random Struct. Alg. 31 288-329.
    • (2007) Random Struct. Alg. , vol.31 , pp. 288-329
    • Coja-Oghlan, A.1    Moore, C.2    Sanwalani, V.3
  • 9
    • 0001540595 scopus 로고
    • On random graphs i
    • Erd?os, P. and R?enyi, A. (1959) On random graphs I. Publicationes Math. Debrecen 5 290-297.
    • (1959) Publicationes Math. Debrecen , vol.5 , pp. 290-297
  • 10
    • 0001847481 scopus 로고
    • On the evolution of random graphs
    • Erd?os, P. and R?enyi, A. (1960) On the evolution of random graphs. Publ. Math. Inst. Hungar. Acad. Sci. 5 17-61.
    • (1960) Publ. Math. Inst. Hungar. Acad. Sci. , vol.5 , pp. 17-61
  • 11
    • 33748573619 scopus 로고    scopus 로고
    • Counting connected graphs asymptotically
    • van der Hofstad, R. and Spencer, J. (2006) Counting connected graphs asymptotically. European J. Combin. 27 1294-1320.
    • (2006) European J. Combin. , vol.27 , pp. 1294-1320
    • Van Der Hofstad, R.1    Spencer, J.2
  • 13
    • 0006132944 scopus 로고    scopus 로고
    • The number of connected sparsely edged uniform hypergraphs
    • Karon?ski, M. and Luczak, T. (1997) The number of connected sparsely edged uniform hypergraphs. Discrete Math. 171 153-168.
    • (1997) Discrete Math. , vol.171 , pp. 153-168
    • Karonski, M.1    Luczak, T.2
  • 14
    • 84990642302 scopus 로고
    • On the number of sparse connected graphs
    • [14]-Luczak, T. (1990) On the number of sparse connected graphs. Random Struct. Alg. 1 171-173.
    • (1990) Random Struct. Alg. , vol.1 , pp. 171-173
    • Luczak, T.1
  • 15
    • 0032023977 scopus 로고    scopus 로고
    • Some large deviation results for sparse random graphs
    • O'Connell, N. (1998) Some large deviation results for sparse random graphs. Probab. Theory Rel. Fields 110 277-285.
    • (1998) Probab. Theory Rel. Fields , vol.110 , pp. 277-285
    • O'Connell, N.1
  • 16
    • 12944257224 scopus 로고    scopus 로고
    • Counting connected graphs inside out
    • Pittel, B. and Wormald, N. C. (2005) Counting connected graphs inside out. J. Combin. Theory Ser. B 93 127-172.
    • (2005) J. Combin. Theory Ser. B , vol.93 , pp. 127-172
    • Pittel, B.1    Wormald, N.C.2
  • 17
    • 51249176947 scopus 로고
    • Component structure in the evolution of random hypergraphs
    • Schmidt-Pruzan, J. and Shamir, E. (1985) Component structure in the evolution of random hypergraphs. Combinatorica 5 81-94.
    • (1985) Combinatorica , vol.5 , pp. 81-94
    • Schmidt-Pruzan, J.1    Shamir, E.2
  • 18
    • 0007081304 scopus 로고
    • On the probability of connectedness of a random graph gm(t)
    • Stepanov, V. E. (1970) On the probability of connectedness of a random graph gm(t). Theory Probab. Appl. 15 55-67.
    • (1970) Theory Probab. Appl. , vol.15 , pp. 55-67
    • Stepanov, V.E.1


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