-
3
-
-
0001460029
-
Automorphism groups, isomorphism, reconstruction
-
Graham R.L., Groetschel M., and Lovasz L. (Eds), Elsevier
-
Babai L. Automorphism groups, isomorphism, reconstruction. In: Graham R.L., Groetschel M., and Lovasz L. (Eds). Handbook of Combinatorics (1996), Elsevier
-
(1996)
Handbook of Combinatorics
-
-
Babai, L.1
-
4
-
-
1442337461
-
Strong bias of group generators: An obstacle to the product replacement algorithm
-
Babai L., and Pak I. Strong bias of group generators: An obstacle to the product replacement algorithm. J. Algorithms 50 (2004) 215-231
-
(2004)
J. Algorithms
, vol.50
, pp. 215-231
-
-
Babai, L.1
Pak, I.2
-
6
-
-
33747128854
-
Universal cycles for combinatorial structures
-
Chung F., Diaconis P., and Graham R. Universal cycles for combinatorial structures. Discrete Math. 110 (1992) 43-59
-
(1992)
Discrete Math.
, vol.110
, pp. 43-59
-
-
Chung, F.1
Diaconis, P.2
Graham, R.3
-
7
-
-
36949016322
-
Tough graphs and Hamiltonian circuits
-
Chvátal V. Tough graphs and Hamiltonian circuits. Discrete Math. 5 (1973) 215-228
-
(1973)
Discrete Math.
, vol.5
, pp. 215-228
-
-
Chvátal, V.1
-
9
-
-
0000393513
-
More on generators for alternating and symmetric groups
-
Conder M.D.E. More on generators for alternating and symmetric groups. Quart. J. Math. Oxford Ser. (2) 32 (1981) 137-163
-
(1981)
Quart. J. Math. Oxford Ser. (2)
, vol.32
, pp. 137-163
-
-
Conder, M.D.E.1
-
10
-
-
0038621119
-
Hamiltonian cycles and paths in Cayley graphs and digraphs - A survey
-
Curran S.J., and Gallian J.A. Hamiltonian cycles and paths in Cayley graphs and digraphs - A survey. Discrete Math. 156 (1996) 1-18
-
(1996)
Discrete Math.
, vol.156
, pp. 1-18
-
-
Curran, S.J.1
Gallian, J.A.2
-
13
-
-
0001831598
-
The square of every two-connected graph is Hamiltonian
-
Fleischner H. The square of every two-connected graph is Hamiltonian. J. Combin. Theory Ser. B 16 (1974) 29-34
-
(1974)
J. Combin. Theory Ser. B
, vol.16
, pp. 29-34
-
-
Fleischner, H.1
-
16
-
-
0043134961
-
A Hamilton cycle in the Cayley graph of the 〈 2, p, 3 〉 presentation of PSL(2, p)
-
Glover H.H., and Yang T.Y. A Hamilton cycle in the Cayley graph of the 〈 2, p, 3 〉 presentation of PSL(2, p). Discrete Math. 160 (1996) 149-163
-
(1996)
Discrete Math.
, vol.160
, pp. 149-163
-
-
Glover, H.H.1
Yang, T.Y.2
-
17
-
-
0025742358
-
Security preserving amplification of hardness
-
Goldreich O., Impagliazzo R., Levin L.A., Venkatesan R., and Zuckerman D. Security preserving amplification of hardness. Proc. 31st IEEE FOCS (1990) 318-326
-
(1990)
Proc. 31st IEEE FOCS
, pp. 318-326
-
-
Goldreich, O.1
Impagliazzo, R.2
Levin, L.A.3
Venkatesan, R.4
Zuckerman, D.5
-
19
-
-
77955478020
-
The Eulerian functions of a group
-
Hall P. The Eulerian functions of a group. Quart. J. Math. 7 (1936) 134-151
-
(1936)
Quart. J. Math.
, vol.7
, pp. 134-151
-
-
Hall, P.1
-
21
-
-
84974219729
-
Some subgroups of SL(3, Z) generated by involutions
-
Humphries S.P. Some subgroups of SL(3, Z) generated by involutions. Glasgow Math. J. 32 (1990) 127-136
-
(1990)
Glasgow Math. J.
, vol.32
, pp. 127-136
-
-
Humphries, S.P.1
-
23
-
-
0001941330
-
The probability of generating a finite classical group
-
Kantor W.M., and Lubotzky A. The probability of generating a finite classical group. Geom. Dedicata 36 (1990) 67-87
-
(1990)
Geom. Dedicata
, vol.36
, pp. 67-87
-
-
Kantor, W.M.1
Lubotzky, A.2
-
25
-
-
0041913850
-
Successive generation of permutations by means of a transposition basis
-
(in Russian)
-
Kompel'maher V.L., and Liskovec V.A. Successive generation of permutations by means of a transposition basis. Kibernetika (1975) 17-21 (in Russian)
-
(1975)
Kibernetika
, pp. 17-21
-
-
Kompel'maher, V.L.1
Liskovec, V.A.2
-
26
-
-
0037220811
-
Sparse pseudo-random graphs are Hamiltonian
-
Krivelevich M., and Sudakov B. Sparse pseudo-random graphs are Hamiltonian. J. Graph Theory 42 (2003) 17-33
-
(2003)
J. Graph Theory
, vol.42
, pp. 17-33
-
-
Krivelevich, M.1
Sudakov, B.2
-
27
-
-
68049093144
-
Problem 11
-
Gordon and Breach, New York
-
Lovász L. Problem 11. Combinatorial Structures and their Applications, University of Calgary, Calgary, Alberta, Canada (1970), Gordon and Breach, New York
-
(1970)
Combinatorial Structures and their Applications, University of Calgary, Calgary, Alberta, Canada
-
-
Lovász, L.1
-
32
-
-
0005856858
-
The product replacement algorithm and Kazhdan's property (T)
-
Lubotzky A., and Pak I. The product replacement algorithm and Kazhdan's property (T). J. AMS 52 (2000) 5525-5561
-
(2000)
J. AMS
, vol.52
, pp. 5525-5561
-
-
Lubotzky, A.1
Pak, I.2
-
35
-
-
0015670043
-
Explicit constructions of expanders
-
Margulis G.A. Explicit constructions of expanders. Probl. Inf. Transm. 9 (1973) 325-332
-
(1973)
Probl. Inf. Transm.
, vol.9
, pp. 325-332
-
-
Margulis, G.A.1
-
36
-
-
0024045909
-
Explicit group theoretic constructions of combinatorial schemes, and their applications for construction of expanders and concentrators
-
Margulis G.A. Explicit group theoretic constructions of combinatorial schemes, and their applications for construction of expanders and concentrators. Probl. Inf. Transm. 24 (1988) 39-46
-
(1988)
Probl. Inf. Transm.
, vol.24
, pp. 39-46
-
-
Margulis, G.A.1
-
37
-
-
0037261804
-
On the generation of sporadic simple groups by three involutions, two of which commute
-
Mazurov V.D. On the generation of sporadic simple groups by three involutions, two of which commute. Siberian Math. J. 44 (2003) 160-164
-
(2003)
Siberian Math. J.
, vol.44
, pp. 160-164
-
-
Mazurov, V.D.1
-
38
-
-
68049097237
-
-
Mazurov V.D., and Khukhro E.I. (Eds), Institute of Mathematics, Novosibirsk (Thirteenth augmented ed.)
-
In: Mazurov V.D., and Khukhro E.I. (Eds). Unsolved Problems in Group Theory. The Kourovka Notebook (1995), Institute of Mathematics, Novosibirsk (Thirteenth augmented ed.)
-
(1995)
Unsolved Problems in Group Theory. The Kourovka Notebook
-
-
-
39
-
-
2842517105
-
Almost all Cayley graphs are Hamiltonian
-
Meng J., and Huang Q. Almost all Cayley graphs are Hamiltonian. Acta Math. Sinica (N.S.) 12 (1996) 151-155
-
(1996)
Acta Math. Sinica (N.S.)
, vol.12
, pp. 151-155
-
-
Meng, J.1
Huang, Q.2
-
40
-
-
34249927602
-
Generating triples of involutions of Chevalley groups over a finite field of characteristic 2
-
261 (in Russian)
-
Nuzhin Ya.N. Generating triples of involutions of Chevalley groups over a finite field of characteristic 2. Algebra Logika 29 (1990) 192-206 261 (in Russian)
-
(1990)
Algebra Logika
, vol.29
, pp. 192-206
-
-
Nuzhin, Ya.N.1
-
41
-
-
0010990649
-
Generating triples of involutions of alternating groups
-
142 (in Russian)
-
Nuzhin Ya.N. Generating triples of involutions of alternating groups. Mat. Zametki 51 (1992) 91-95 142 (in Russian)
-
(1992)
Mat. Zametki
, vol.51
, pp. 91-95
-
-
Nuzhin, Ya.N.1
-
42
-
-
1642465751
-
Generating triples of involutions of Lie-type groups over a finite field of odd characteristic, I
-
118 (in Russian)
-
Nuzhin Ya.N. Generating triples of involutions of Lie-type groups over a finite field of odd characteristic, I. Algebra Logika 36 (1997) 77-96 118 (in Russian)
-
(1997)
Algebra Logika
, vol.36
, pp. 77-96
-
-
Nuzhin, Ya.N.1
-
43
-
-
68049091049
-
Generating triples of involutions of Lie-type groups over a finite field of odd characteristic, II
-
479 (in Russian)
-
Nuzhin Ya.N. Generating triples of involutions of Lie-type groups over a finite field of odd characteristic, II. Algebra Logika 36 (1997) 422-440 479 (in Russian)
-
(1997)
Algebra Logika
, vol.36
, pp. 422-440
-
-
Nuzhin, Ya.N.1
-
45
-
-
16244397487
-
Mixing time and long paths in graphs
-
Pak I. Mixing time and long paths in graphs. Proc. 13th ACM-SIAM SODA (2000)
-
(2000)
Proc. 13th ACM-SIAM SODA
-
-
Pak, I.1
-
46
-
-
52149085992
-
A campanological problem in group theory II
-
Rankin R.A. A campanological problem in group theory II. Proc. Cambridge Philos. Soc. 62 (1966) 11-18
-
(1966)
Proc. Cambridge Philos. Soc.
, vol.62
, pp. 11-18
-
-
Rankin, R.A.1
-
47
-
-
52149089754
-
Cayley color groups and Hamilton lines
-
Rapaport-Strasser E. Cayley color groups and Hamilton lines. Scripta Math. 24 (1959) 51-58
-
(1959)
Scripta Math.
, vol.24
, pp. 51-58
-
-
Rapaport-Strasser, E.1
-
48
-
-
0002668512
-
Entropy waves, the zig-zag graph product, and new constant-degree expanders and extractors
-
Reingold O., Vadhan S., and Wigderson A. Entropy waves, the zig-zag graph product, and new constant-degree expanders and extractors. Proc. 41st IEEE FOCS (2000)
-
(2000)
Proc. 41st IEEE FOCS
-
-
Reingold, O.1
Vadhan, S.2
Wigderson, A.3
-
50
-
-
0346337204
-
On the structure of Hamiltonian cycles in Cayley graphs of finite quotients of the modular group
-
Schupp P.E. On the structure of Hamiltonian cycles in Cayley graphs of finite quotients of the modular group. Theoret. Comput. Sci. 204 (1998) 233-248
-
(1998)
Theoret. Comput. Sci.
, vol.204
, pp. 233-248
-
-
Schupp, P.E.1
-
52
-
-
0042741199
-
On groups generated by three involutions, two of which commute
-
The Hilton Symposium 1993 (Montreal, PQ), Amer. Math. Soc., Providence, RI
-
Sjerve D., and Cherkassoff M. On groups generated by three involutions, two of which commute. The Hilton Symposium 1993 (Montreal, PQ). CRM Proc. Lecture Notes vol. 6 (1994), Amer. Math. Soc., Providence, RI 169-185
-
(1994)
CRM Proc. Lecture Notes
, vol.6
, pp. 169-185
-
-
Sjerve, D.1
Cherkassoff, M.2
-
53
-
-
0031572133
-
Generation of certain matrix groups by three involutions, two of which commute
-
Tamburini M.C., and Zucca P. Generation of certain matrix groups by three involutions, two of which commute. J. Algebra 195 (1997) 650-661
-
(1997)
J. Algebra
, vol.195
, pp. 650-661
-
-
Tamburini, M.C.1
Zucca, P.2
-
54
-
-
84968519010
-
Tilings of the torus and the klein bottle and vertex-transitive graphs on a fixed surface
-
Thomassen C. Tilings of the torus and the klein bottle and vertex-transitive graphs on a fixed surface. Trans. AMS 323 (1991) 605-635
-
(1991)
Trans. AMS
, vol.323
, pp. 605-635
-
-
Thomassen, C.1
-
55
-
-
0141526280
-
On generating triples of involutions of large sporadic groups
-
Available at http://icm.krasn.ru/refextra.php?id=2869
-
Timofeenko A.V. On generating triples of involutions of large sporadic groups. Discrete Math. Appl. 13 (2003) 291-300. http://icm.krasn.ru/refextra.php%3Fid%3D2869 Available at http://icm.krasn.ru/refextra.php?id=2869
-
(2003)
Discrete Math. Appl.
, vol.13
, pp. 291-300
-
-
Timofeenko, A.V.1
-
56
-
-
0017249811
-
Graph theoretic properties in computational complexity
-
Valiant L. Graph theoretic properties in computational complexity. J. Comput. System Sci. 13 (1976) 278-285
-
(1976)
J. Comput. System Sci.
, vol.13
, pp. 278-285
-
-
Valiant, L.1
-
57
-
-
0042489917
-
Über die Nichtexistenz eines Knotenpunktes, durch den alle längsten Wege eines Graphen gehen
-
(in German)
-
Walther H. Über die Nichtexistenz eines Knotenpunktes, durch den alle längsten Wege eines Graphen gehen. J. Combin. Theory 6 (1969) 1-6 (in German)
-
(1969)
J. Combin. Theory
, vol.6
, pp. 1-6
-
-
Walther, H.1
-
58
-
-
0027306477
-
Expanders that beat the eigenvalue bound, explicit construction and applications
-
Wigderson A., and Zuckerman D. Expanders that beat the eigenvalue bound, explicit construction and applications. Proc. of the 25th STOC (1993) 245-251
-
(1993)
Proc. of the 25th STOC
, pp. 245-251
-
-
Wigderson, A.1
Zuckerman, D.2
-
59
-
-
38249043077
-
Cayley digraphs of prime-power order are Hamiltonian
-
Witte D. Cayley digraphs of prime-power order are Hamiltonian. J. Combin. Theory Ser. B 40 (1986) 107-112
-
(1986)
J. Combin. Theory Ser. B
, vol.40
, pp. 107-112
-
-
Witte, D.1
-
60
-
-
0011275267
-
A survey: Hamiltonian cycles in Cayley graphs
-
Witte D., and Gallian J. A survey: Hamiltonian cycles in Cayley graphs. Discrete Math. 51 (1984) 293-304
-
(1984)
Discrete Math.
, vol.51
, pp. 293-304
-
-
Witte, D.1
Gallian, J.2
|