COUNTING THE NUMBER OF HAMILTON CYCLES IN RANDOM DIGRAPHS

被引：11

作者：

FRIEZE, A

SUEN, S

机构：

[1] Department of Mathematics, Carnegie Mellon University, Pittsburgh, Pennsylvania

来源：

RANDOM STRUCTURES & ALGORITHMS | 1992年 / 3卷 / 03期

关键词：

D O I：

10.1002/rsa.3240030303

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We show that there exists a a fully polynomial randomized approximation scheme for counting the number of Hamilton cycles in almost all directed graphs.

引用

页码：235 / 241

页数：7

共 50 条

[31] Counting small cycles in generalized de Bruijn digraphs
Hasunuma, T
Shibata, Y
[J]. NETWORKS, 1997, 29 (01) : 39 - 47
[32] An improved fully polynomial randomized approximation scheme (FPRAS) for counting the number of Hamiltonian cycles in dense digraphs
Zhang, Jinshan
Bai, Fengshan
[J]. THEORETICAL COMPUTER SCIENCE, 2011, 412 (4-5) : 419 - 429
[33] CYCLES IN BIPARTITE DIGRAPHS WITH GIVEN NUMBER OF ARCS
MANOUSSAKIS, M
MANOUSSAKIS, Y
[J]. COMBINATORICS /, 1988, 52 : 393 - 404
[34] ON THE NUMBER OF VERTEX-DISJOINT CYCLES IN DIGRAPHS
Bai, Yandong
Manoussakis, Yannis
[J]. SIAM JOURNAL ON DISCRETE MATHEMATICS, 2019, 33 (04) : 2444 - 2451
[35] ON THE NUMBER OF CYCLES POSSIBLE IN DIGRAPHS WITH LARGE GIRTH
ALLENDER, EW
[J]. DISCRETE APPLIED MATHEMATICS, 1985, 10 (03) : 211 - 225
[36] On arc reversal in digraphs with a restricted number of cycles
Bogdanowicz, Zbigniew R.
[J]. CONTRIBUTIONS TO MATHEMATICS, 2022, 5 : 30 - 31
[37] HAMILTONIAN PATHS AND CYCLES, NUMBER OF ARCS AND INDEPENDENCE NUMBER IN DIGRAPHS
MANOUSSAKIS, Y
AMAR, D
[J]. DISCRETE MATHEMATICS, 1992, 105 (1-3) : 157 - 172
[38] Hamilton cycles in the union of random permutations
Frieze, A
[J]. RANDOM STRUCTURES & ALGORITHMS, 2001, 18 (01) : 83 - 94
[39] HAMILTON CYCLES IN RANDOM GEOMETRIC GRAPHS
Balogh, Jozsef
Bollobas, Bela
Krivelevich, Michael
Muller, Tobias
Walters, Mark
[J]. ANNALS OF APPLIED PROBABILITY, 2011, 21 (03): : 1053 - 1072
[40] COLORFUL HAMILTON CYCLES IN RANDOM GRAPHS
Chakraborti, Debsoumya
Frieze, Alan M.
Hasabnis, Mihir
[J]. SIAM JOURNAL ON DISCRETE MATHEMATICS, 2023, 37 (01) : 51 - 64

← 1 2 3 4 5 →