Graph Golf

The Order/degree Problem Competition

Rankings and solutions 2018

Update 2018-10-22

Final rankings

: Awarded

General Graph Widest Improvement ranking

Rank Author Number of best solutions
1 Masahiro Nakao 8
2 haruishi masato 6
3 Toru Koizumi 1
3 Teruaki Kitasuka, Masahiro Iida 1

General Graph Deepest Improvement ranking

Rank Author ASPL gap
1 Masahiro Nakao 0.0
1 Toru Koizumi 0.0
1 Teruaki Kitasuka, Masahiro Iida 0.0
4 haruishi masato 0.000481028525212146

Grid Graph Widest Improvement ranking

Rank Author Number of best solutions
1 Nakano 5
1 EvbCFfp1XB 5

Grid Graph Deepest Improvement ranking

Rank Author ASPL gap
1 EvbCFfp1XB 0.1125992063492065
2 Nakano 0.6503390762463344

Best solutions

Order n Degree d Length r Diam. k ASPL l ASPL gap
list 72 4 4 2.98592 0.00000
list 256 5 5 3.49314 0.02255
list 256 10 3 2.56863 0.00000
list 2300 10 5 3.58765 0.03132
list 3019 30 3 2.69323 0.00138
list 4855 30 4 2.80889 0.00048
list 12000 7 7 5.17601 0.26402
list 20000 11 6 4.44389 0.12263
list 40000 8 7 5.46501 0.11843
list 77000 6 9 6.83465 0.21499
list 132000 8 8 6.09465 0.29266
list 200000 32 5 3.84909 0.01326
list 200000 64 4 3.23627 0.25707
list 400000 32 5 3.99682 0.07890
list 4x16 4 4 5 2.96974 0.11260
list 32x32 4 3 21 7.96381 2.66372
list 32x32 4 4 16 6.65841 1.35832
list 32x32 4 5 13 6.06242 0.76232
list 16x64 4 4 20 7.72602 2.42592
list 16x64 4 5 16 6.75795 1.45785
list 16x64 4 7 12 5.95044 0.65034
list 4x256 4 12 22 8.45222 3.15212
list 4x256 4 18 15 6.63247 1.33237
list 4x256 4 24 11 6.00348 0.70339

Complete list of solutions

: Nominated

72 nodes, degree 4

Rank Author Diam. k ASPL l Diam. gap ASPL gap Info. Date (UTC) Week
1 Masahiro Nakao 4 2.98592 0 0.00000 2018-05-14 23:52:51 20
2 EvbCFfp1XB 4 2.99413 0 0.00822 2018-08-23 13:50:55 34
2 thai9cdb 4 2.99413 0 0.00822 2018-07-22 12:46:49 29
4 thai9cdb 4 2.99687 0 0.01095 2018-06-19 02:05:25 25
5 Hideyuki Tanaka 4 2.99726 0 0.01135 2018-07-30 09:28:43 31
6 Vincent Chau, Xin Han, Francis Lau, Yinling Wang, Yong Zhang 4 3.00117 0 0.01526 2018-07-22 23:12:58 29
7 EvbCFfp1XB 4 3.00352 0 0.01761 2018-05-31 14:03:57 22
8 Hideyuki Tanaka 4 3.00509 0 0.01917 2018-05-21 14:05:41 21
9 EvbCFfp1XB 4 3.00665 0 0.02074 2018-05-27 14:37:50 21
10 thai9cdb 4 3.00861 0 0.02269 2018-05-20 10:33:59 20
11 EvbCFfp1XB 4 3.00939 0 0.02347 2018-05-27 08:14:46 21
12 EvbCFfp1XB 4 3.01291 0 0.02700 2018-05-27 07:17:55 21
13 EvbCFfp1XB 4 3.01526 0 0.02934 2018-05-22 10:10:12 21
14 JD 5 3.10837 1 0.12246 2018-10-14 09:06:23 41
15 JD 5 3.11659 1 0.13067 2018-07-28 13:31:46 30
16 Hideyuki Tanaka 5 3.11972 1 0.13380 2018-05-21 10:17:15 21
17 pepix 5 3.13341 1 0.14750 2018-10-14 15:00:13 41
18 (random) 6 3.21596 2 0.23005 2018-05-12 22:58:02 19
19 EvbCFfp1XB 6 3.30125 2 0.31534 2018-05-22 05:45:51 21
20 tokura Inf Inf Inf Inf 2018-08-18 12:58:37 33

20 solutions

256 nodes, degree 5

Rank Author Diam. k ASPL l Diam. gap ASPL gap Info. Date (UTC) Week
1 Masahiro Nakao 5 3.49314 1 0.02255 2018-10-09 01:22:50 41
2 haruishi masato 5 3.49804 1 0.02745 2018-10-09 02:19:10 41
3 thai9cdb 5 3.52129 1 0.05070 2018-07-22 12:48:04 29
4 haruishi masato 5 3.52157 1 0.05098 2018-09-30 18:53:50 39
5 thai9cdb 5 3.52374 1 0.05316 2018-06-19 02:08:44 25
6 tokura 5 3.52592 1 0.05533 2018-09-26 06:32:58 39
6 tokura 5 3.52592 1 0.05533 2018-09-25 08:47:47 39
8 tokura 5 3.52598 1 0.05539 2018-08-19 12:42:39 33
9 thai9cdb 5 3.52846 1 0.05787 2018-05-20 10:35:30 20
10 Tsuyama K 5 3.53073 1 0.06014 2018-08-07 05:48:11 32
11 EvbCFfp1XB 5 3.53251 1 0.06192 2018-06-05 02:53:51 23
12 pepix 5 3.53395 1 0.06336 2018-10-14 15:00:00 41
12 pepix 5 3.53395 1 0.06336 2018-09-30 07:18:45 39
14 EvbCFfp1XB 5 3.54911 1 0.07852 2018-05-27 09:03:02 21
15 T. Okada, H. Kanda, Y.K 5 3.55460 1 0.08401 2018-08-16 04:19:08 33
16 JD 5 3.67074 1 0.20015 2018-10-14 09:06:23 41
17 tokura 6 3.53906 2 0.06847 2018-09-23 09:30:11 38
18 (random) 6 3.73244 2 0.26186 2018-05-12 22:58:02 19

18 solutions

256 nodes, degree 10

Rank Author Diam. k ASPL l Diam. gap ASPL gap Info. Date (UTC) Week
1 Haruishi masato 3 2.56863 0 0.00000 2018-08-13 09:05:21 33
1 thai9cdb 3 2.56863 0 0.00000 2018-07-29 13:08:27 30
1 Toru Koizumi 3 2.56863 0 0.00000 2018-06-12 01:36:40 24
1 Toru Koizumi 3 2.56863 0 0.00000 2018-06-12 01:33:30 24
1 Toru Koizumi 3 2.56863 0 0.00000 2018-06-11 14:52:50 24
1 Toru Koizumi 3 2.56863 0 0.00000 2018-06-11 14:50:46 24
1 Toru Koizumi 3 2.56863 0 0.00000 2018-06-11 14:48:06 24
1 Toru Koizumi 3 2.56863 0 0.00000 2018-06-11 14:42:56 24
1 Teruaki Kitasuka, Masahiro Iida 3 2.56863 0 0.00000 2018-05-15 09:40:41 20
1 Masahiro Nakao 3 2.56863 0 0.00000 2018-05-15 05:11:20 20
11 thai9cdb 3 2.56869 0 0.00006 2018-06-19 02:02:28 25
12 thai9cdb 4 2.56909 1 0.00046 2018-05-20 10:36:55 20
13 EvbCFfp1XB 4 2.57184 1 0.00322 2018-06-05 02:55:17 23
14 EvbCFfp1XB 4 2.58603 1 0.01740 2018-05-27 10:03:40 21
15 JD 4 2.63413 1 0.06550 2018-10-14 09:06:23 41
16 (random) 4 2.64871 1 0.08009 2018-05-12 22:58:02 19

16 solutions

2300 nodes, degree 10

Rank Author Diam. k ASPL l Diam. gap ASPL gap Info. Date (UTC) Week
1 Masahiro Nakao 5 3.58765 1 0.03132 2018-10-14 14:36:05 41
2 Masahiro Nakao 5 3.58795 1 0.03162 2018-10-09 01:28:22 41
3 haruishi masato 5 3.59339 1 0.03706 2018-10-09 02:24:12 41
4 haruishi masato 5 3.59342 1 0.03709 2018-10-07 08:50:20 40
5 thai9cdb 5 3.59823 1 0.04190 2018-10-14 15:03:09 41
6 thai9cdb 5 3.59893 1 0.04260 2018-07-22 12:49:05 29
7 thai9cdb 5 3.59934 1 0.04301 2018-05-20 10:38:08 20
8 tokura 5 3.60244 1 0.04611 2018-10-03 03:26:06 40
9 Haruishi masato 5 3.60874 1 0.05241 2018-09-04 15:44:37 36
10 JD 5 3.64848 1 0.09215 2018-10-14 09:06:23 41
11 EvbCFfp1XB 5 3.64854 1 0.09221 2018-05-27 12:35:02 21
12 pepix 5 3.64895 1 0.09262 2018-10-14 14:59:34 41
13 (random) 5 3.65200 1 0.09567 2018-05-12 22:58:02 19

13 solutions

3019 nodes, degree 30

Rank Author Diam. k ASPL l Diam. gap ASPL gap Info. Date (UTC) Week
1 haruishi masato 3 2.69323 0 0.00138 2018-10-09 02:26:21 41
2 thai9cdb 3 2.69522 0 0.00337 2018-10-14 15:03:26 41
3 thai9cdb 3 2.69533 0 0.00348 2018-07-22 12:49:58 29
4 thai9cdb 3 2.69662 0 0.00478 2018-05-20 10:41:13 20
5 Masahiro Nakao 4 2.69422 1 0.00237 2018-10-14 14:36:53 41
6 Masahiro Nakao 4 2.69431 1 0.00246 2018-10-09 01:29:27 41
7 haruishi masato 4 2.69607 1 0.00422 2018-09-04 14:37:09 36
8 T. Okada, M. Kanada, Y. K 4 2.70277 1 0.01093 2018-08-16 05:12:14 33
9 JD 4 2.72961 1 0.03776 2018-10-14 09:06:23 41
10 (random) 4 2.73030 1 0.03845 2018-05-12 22:58:02 19
11 EvbCFfp1XB 4 2.73182 1 0.03997 2018-05-27 12:36:03 21

11 solutions

4855 nodes, degree 30

Rank Author Diam. k ASPL l Diam. gap ASPL gap Info. Date (UTC) Week
1 haruishi masato 4 2.80889 1 0.00048 2018-10-09 02:27:18 41
2 Masahiro Nakao 4 2.80897 1 0.00057 2018-10-14 14:37:15 41
3 Masahiro Nakao 4 2.80908 1 0.00068 2018-10-09 01:29:58 41
4 haruishi masato 4 2.80910 1 0.00070 2018-09-30 19:06:33 39
5 thai9cdb 4 2.80925 1 0.00085 2018-09-30 15:48:52 39
6 thai9cdb 4 2.80931 1 0.00090 2018-07-22 12:50:48 29
7 thai9cdb 4 2.81180 1 0.00339 2018-05-20 10:39:34 20
8 tokura 4 2.81431 1 0.00590 2018-10-03 03:26:15 40
9 JD 4 2.82770 1 0.01929 2018-10-14 09:06:23 41
10 (random) 4 2.82793 1 0.01952 2018-05-12 22:58:02 19
11 EvbCFfp1XB 4 2.82897 1 0.02056 2018-05-27 13:35:04 21

11 solutions

12000 nodes, degree 7

Rank Author Diam. k ASPL l Diam. gap ASPL gap Info. Date (UTC) Week
1 haruishi masato 7 5.17601 1 0.26402 2018-10-09 03:31:48 41
2 Masahiro Nakao 7 5.17731 1 0.26531 2018-10-14 14:37:39 41
3 Masahiro Nakao 7 5.17992 1 0.26793 2018-10-09 01:30:29 41
4 tokura 7 5.18623 1 0.27424 2018-10-14 07:17:59 41
5 tokura 7 5.18623 1 0.27424 2018-10-10 00:08:54 41
6 tokura 7 5.18624 1 0.27424 2018-10-09 14:48:46 41
7 Haruishi masato 7 5.18626 1 0.27426 2018-08-13 08:44:07 33
8 thai9cdb 7 5.19022 1 0.27823 2018-09-30 15:50:14 39
9 T. Okada, M. Kanda, Y. K 7 5.20322 1 0.29123 2018-08-28 06:38:23 35
10 T. Okada, M. Kanda, Y. K 7 5.20330 1 0.29131 2018-08-22 04:36:10 34
11 T. Okada, M. Kanda, Y. K 7 5.20347 1 0.29148 2018-08-19 09:38:54 33
12 JD 7 5.23621 1 0.32421 2018-10-14 09:06:23 41
13 pepix 7 5.23662 1 0.32462 2018-10-14 14:59:15 41
14 tokura 7 5.23690 1 0.32490 2018-07-24 15:32:18 30
15 EvbCFfp1XB 7 5.23693 1 0.32494 2018-05-27 07:21:06 21
16 (random) 7 5.23755 1 0.32555 2018-05-12 22:58:02 19

16 solutions

20000 nodes, degree 11

Rank Author Diam. k ASPL l Diam. gap ASPL gap Info. Date (UTC) Week
1 Masahiro Nakao 6 4.44389 1 0.12263 2018-10-14 14:37:58 41
2 Masahiro Nakao 6 4.44404 1 0.12277 2018-10-09 01:31:10 41
3 haruishi masato 6 4.44417 1 0.12291 2018-10-09 03:32:21 41
4 haruishi masato 6 4.45082 1 0.12956 2018-10-07 08:52:08 40
5 tokura 6 4.45341 1 0.13214 2018-10-14 07:14:40 41
5 tokura 6 4.45341 1 0.13214 2018-10-09 23:53:45 41
7 tokura 6 4.45341 1 0.13214 2018-10-09 14:49:01 41
8 T. Okada, M. Kanda, Y. K 6 4.45341 1 0.13214 2018-08-22 01:30:22 34
9 haruishi masato 6 4.45365 1 0.13238 2018-09-04 14:45:53 36
10 thai9cdb 6 4.45627 1 0.13501 2018-09-30 15:50:56 39
11 JD 6 4.47832 1 0.15705 2018-10-14 09:06:23 41
12 (random) 6 4.47876 1 0.15749 2018-05-12 22:58:02 19
13 EvbCFfp1XB 6 4.47884 1 0.15757 2018-05-27 07:22:26 21

13 solutions

40000 nodes, degree 8

Rank Author Diam. k ASPL l Diam. gap ASPL gap Info. Date (UTC) Week
1 haruishi masato 7 5.46501 1 0.11843 2018-10-09 02:28:33 41
2 Masahiro Nakao 7 5.46725 1 0.12066 2018-10-14 14:38:21 41
3 Masahiro Nakao 7 5.46741 1 0.12082 2018-10-09 01:32:19 41
4 thai9cdb 7 5.47330 1 0.12671 2018-09-30 15:51:37 39
5 haruishi masato 7 5.47829 1 0.13170 2018-10-01 02:30:32 40
6 haruishi masato 7 5.49589 1 0.14930 2018-09-04 14:46:30 36
7 tokura 7 5.49606 1 0.14948 2018-10-09 23:57:58 41
7 tokura 7 5.49606 1 0.14948 2018-10-03 05:53:42 40
9 JD 7 5.50023 1 0.15365 2018-10-14 09:06:23 41
10 (random) 7 5.50054 1 0.15396 2018-05-12 22:58:02 19
11 EvbCFfp1XB 7 5.50070 1 0.15411 2018-05-27 07:23:35 21

11 solutions

77000 nodes, degree 6

Rank Author Diam. k ASPL l Diam. gap ASPL gap Info. Date (UTC) Week
1 haruishi masato 9 6.83465 2 0.21499 2018-10-09 02:29:31 41
2 haruishi masato 9 6.83989 2 0.22024 2018-10-09 03:33:04 41
3 Masahiro Nakao 9 6.84278 2 0.22312 2018-10-14 14:38:45 41
4 Masahiro Nakao 9 6.84506 2 0.22541 2018-10-09 01:32:59 41
5 haruishi masato 9 6.84973 2 0.23007 2018-10-07 08:53:46 40
6 thai9cdb 9 6.85045 2 0.23079 2018-09-30 15:52:41 39
7 haruishi masato 9 6.86544 2 0.24578 2018-09-04 14:51:45 36
8 tokura 9 6.87796 2 0.25830 2018-10-03 03:26:22 40
9 tokura 9 6.87897 2 0.25931 2018-08-10 07:43:28 32
10 JD 9 6.88174 2 0.26208 2018-10-14 09:06:23 41
11 EvbCFfp1XB 9 6.88212 2 0.26246 2018-05-27 07:25:20 21
12 (random) 9 6.88229 2 0.26263 2018-05-12 22:58:02 19

12 solutions

132000 nodes, degree 8

Rank Author Diam. k ASPL l Diam. gap ASPL gap Info. Date (UTC) Week
1 Masahiro Nakao 8 6.09465 2 0.29266 2018-10-14 14:39:16 41
2 Masahiro Nakao 8 6.09650 2 0.29450 2018-10-09 01:33:40 41
3 haruishi masato 8 6.09870 2 0.29670 2018-10-09 02:30:55 41
4 thai9cdb 8 6.10116 2 0.29917 2018-09-30 15:53:30 39
5 Haruishi masato 8 6.11685 2 0.31485 2018-09-04 15:47:38 36
6 tokura 8 6.12010 2 0.31811 2018-10-10 00:09:03 41
7 JD 8 6.12066 2 0.31866 2018-10-14 09:06:23 41
8 EvbCFfp1XB 8 6.12076 2 0.31876 2018-05-27 07:26:59 21
9 (random) 8 6.12082 2 0.31882 2018-05-12 22:58:02 19

9 solutions

200000 nodes, degree 32

Rank Author Diam. k ASPL l Diam. gap ASPL gap Info. Date (UTC) Week
1 haruishi masato 5 3.84909 1 0.01326 2018-10-09 02:32:46 41
2 Masahiro Nakao 5 3.84946 1 0.01362 2018-10-14 14:39:54 41
3 Masahiro Nakao 5 3.84997 1 0.01413 2018-10-09 01:34:46 41
4 JD 5 3.85503 1 0.01919 2018-10-14 09:06:23 41
5 tokura 5 3.85505 1 0.01921 2018-10-09 23:55:55 41
6 (random) 5 3.85505 1 0.01921 2018-05-12 22:58:02 19
7 EvbCFfp1XB 5 3.85505 1 0.01921 2018-05-27 07:31:34 21

7 solutions

200000 nodes, degree 64

Rank Author Diam. k ASPL l Diam. gap ASPL gap Info. Date (UTC) Week
1 Masahiro Nakao 4 3.23627 1 0.25707 2018-10-14 14:40:56 41
2 Masahiro Nakao 4 3.23747 1 0.25827 2018-10-09 01:36:12 41
3 JD 4 3.25433 1 0.27513 2018-10-14 09:21:14 41
4 tokura 4 3.25434 1 0.27514 2018-10-10 00:09:20 41
5 (random) 4 3.25435 1 0.27515 2018-05-12 22:58:02 19
6 EvbCFfp1XB 4 3.25435 1 0.27515 2018-05-27 07:39:53 21

6 solutions

400000 nodes, degree 32

Rank Author Diam. k ASPL l Diam. gap ASPL gap Info. Date (UTC) Week
1 Masahiro Nakao 5 3.99682 1 0.07890 2018-10-14 14:42:11 41
2 Masahiro Nakao 5 3.99743 1 0.07951 2018-10-09 01:37:48 41
3 JD 5 4.00615 1 0.08823 2018-10-14 09:37:01 41
4 tokura 5 4.00615 1 0.08823 2018-10-10 00:09:59 41
5 (random) 5 4.00616 1 0.08824 2018-05-12 22:58:02 19
6 EvbCFfp1XB 5 4.00616 1 0.08824 2018-05-27 07:50:48 21

6 solutions

4×16 nodes, degree 4, length 4

Rank Author Diam. k ASPL l Length r Diam. gap ASPL gap Info. Date (UTC) Week
1 EvbCFfp1XB 5 2.96974 4 1 0.11260 2018-08-23 13:49:26 34
2 EvbCFfp1XB 5 2.97718 4 1 0.12004 2018-08-17 07:58:16 33
3 EvbCFfp1XB 5 2.97917 4 1 0.12202 2018-08-14 21:00:38 33
4 EvbCFfp1XB 5 2.97966 4 1 0.12252 2018-08-12 14:18:45 32
5 EvbCFfp1XB 5 2.98165 4 1 0.12450 2018-08-10 21:49:28 32
6 Nakano 5 2.98363 4 1 0.12649 2018-07-20 03:44:54 29
7 EvbCFfp1XB 5 2.99008 4 1 0.13294 2018-06-10 15:40:30 23
8 Yoshiki Satotani 5 3.00298 4 1 0.14583 2018-09-07 06:58:23 36
9 Vincent Chau, Xin Han, Francis Lau, Yinling Wang, Yong Zhang 5 3.01190 4 1 0.15476 2018-07-22 23:12:58 29
10 JD 5 3.02034 4 1 0.16319 2018-10-14 08:55:23 41
11 Teruaki Kitasuka 5 3.38740 4 1 0.53026 2018-07-27 07:04:46 30
12 (random) 8 3.93998 4 4 1.08284 2018-05-13 01:32:47 19

12 solutions

32×32 nodes, degree 4, length 3

Rank Author Diam. k ASPL l Length r Diam. gap ASPL gap Info. Date (UTC) Week
1 Nakano 21 7.96381 3 15 2.66372 2018-10-01 06:39:04 40
2 EvbCFfp1XB 21 7.96431 3 15 2.66421 2018-10-04 08:29:07 40
3 Nakano 21 7.96434 3 15 2.66424 2018-07-20 03:53:49 29
4 Yoshiki Satotani 21 7.99990 3 15 2.69980 2018-09-07 06:58:23 36
5 EvbCFfp1XB 21 8.25039 3 15 2.95029 2018-06-10 15:56:45 23
6 JD 21 8.33064 3 15 3.03054 2018-10-14 08:55:23 41
7 Teruaki Kitasuka 21 10.18264 3 15 4.88254 2018-07-27 07:04:46 30
8 JD 23 10.42731 3 17 5.12721 2018-08-23 12:14:24 34
9 (random) 28 11.64954 3 22 6.34945 2018-05-13 01:32:47 19

9 solutions

32×32 nodes, degree 4, length 4

Rank Author Diam. k ASPL l Length r Diam. gap ASPL gap Info. Date (UTC) Week
1 Nakano 16 6.65841 4 10 1.35832 2018-10-01 06:41:47 40
2 Nakano 16 6.66003 4 10 1.35994 2018-07-20 03:54:02 29
3 Yoshiki Satotani 16 6.70134 4 10 1.40124 2018-09-07 06:58:23 36
4 EvbCFfp1XB 16 7.05793 4 10 1.75783 2018-06-10 15:57:49 23
5 JD 16 7.07067 4 10 1.77057 2018-10-14 08:55:23 41
6 Teruaki Kitasuka 16 8.37063 4 10 3.07053 2018-07-27 07:04:46 30
7 (random) 21 9.30301 4 15 4.00291 2018-05-13 01:32:47 19

7 solutions

32×32 nodes, degree 4, length 5

Rank Author Diam. k ASPL l Length r Diam. gap ASPL gap Info. Date (UTC) Week
1 Nakano 13 6.06242 5 7 0.76232 2018-10-01 06:42:56 40
2 EvbCFfp1XB 13 6.06435 5 7 0.76425 2018-10-04 08:31:36 40
3 Nakano 13 6.06447 5 7 0.76437 2018-07-20 03:54:13 29
4 Yoshiki Satotani 13 6.12957 5 7 0.82947 2018-09-07 06:58:23 36
5 JD 13 6.41861 5 7 1.11851 2018-10-14 08:55:23 41
6 EvbCFfp1XB 13 6.45870 5 7 1.15860 2018-06-10 15:58:38 23
7 Teruaki Kitasuka 13 6.95478 5 7 1.65468 2018-07-27 07:04:46 30
8 (random) 19 8.40320 5 13 3.10311 2018-05-13 01:32:47 19

8 solutions

16×64 nodes, degree 4, length 4

Rank Author Diam. k ASPL l Length r Diam. gap ASPL gap Info. Date (UTC) Week
1 Nakano 20 7.72602 4 14 2.42592 2018-10-01 06:44:10 40
2 EvbCFfp1XB 20 7.72737 4 14 2.42728 2018-10-04 08:21:17 40
3 Nakano 20 7.72740 4 14 2.42730 2018-07-20 03:52:13 29
4 Yoshiki Satotani 20 7.76510 4 14 2.46500 2018-09-07 06:58:23 36
5 JD 20 8.04747 4 14 2.74737 2018-10-14 08:55:23 41
6 EvbCFfp1XB 20 8.12264 4 14 2.82254 2018-06-10 15:53:09 23
7 Teruaki Kitasuka 20 10.71769 4 14 5.41759 2018-07-27 07:04:46 30
8 (random) 32 12.27792 4 26 6.97782 2018-05-13 01:32:47 19

8 solutions

16×64 nodes, degree 4, length 5

Rank Author Diam. k ASPL l Length r Diam. gap ASPL gap Info. Date (UTC) Week
1 EvbCFfp1XB 16 6.75795 5 10 1.45785 2018-10-04 08:24:42 40
2 Nakano 16 6.75797 5 10 1.45787 2018-07-20 03:52:26 29
3 Yoshiki Satotani 16 6.81644 5 10 1.51635 2018-09-07 06:58:23 36
4 JD 16 7.07122 5 10 1.77112 2018-10-14 08:55:23 41
5 EvbCFfp1XB 16 7.20649 5 10 1.90640 2018-06-10 15:53:58 23
6 Teruaki Kitasuka 16 8.13223 5 10 2.83213 2018-07-27 07:04:46 30
7 (random) 26 10.39890 5 20 5.09880 2018-05-13 01:32:47 19

7 solutions

16×64 nodes, degree 4, length 7

Rank Author Diam. k ASPL l Length r Diam. gap ASPL gap Info. Date (UTC) Week
1 Nakano 12 5.95044 7 6 0.65034 2018-10-01 06:44:59 40
2 EvbCFfp1XB 12 5.95110 7 6 0.65101 2018-10-04 08:26:41 40
3 Nakano 12 5.95132 7 6 0.65122 2018-07-20 03:52:40 29
4 Yoshiki Satotani 12 6.04367 7 6 0.74357 2018-09-07 06:58:23 36
5 JD 12 6.17686 7 6 0.87676 2018-10-14 08:55:23 41
6 Teruaki Kitasuka 12 7.06312 7 6 1.76302 2018-07-27 07:04:46 30
7 EvbCFfp1XB 13 6.32154 7 7 1.02144 2018-06-10 15:55:26 23
8 (random) 21 8.45834 7 15 3.15824 2018-05-13 01:32:47 19

8 solutions

4×256 nodes, degree 4, length 12

Rank Author Diam. k ASPL l Length r Diam. gap ASPL gap Info. Date (UTC) Week
1 EvbCFfp1XB 22 8.45222 12 16 3.15212 2018-10-04 08:34:04 40
2 Nakano 22 8.45224 12 16 3.15214 2018-10-01 06:46:37 40
3 Nakano 22 8.45228 12 16 3.15218 2018-07-20 03:50:06 29
4 Yoshiki Satotani 22 8.51675 12 16 3.21666 2018-09-07 06:58:23 36
5 JD 22 9.04023 12 16 3.74013 2018-10-14 08:55:23 41
6 Teruaki Kitasuka 22 10.72697 12 16 5.42688 2018-07-27 07:04:46 30
7 EvbCFfp1XB 23 8.99920 12 17 3.69910 2018-06-10 15:49:34 23
8 (random) 37 13.37824 12 31 8.07815 2018-05-13 01:32:47 19

8 solutions

4×256 nodes, degree 4, length 18

Rank Author Diam. k ASPL l Length r Diam. gap ASPL gap Info. Date (UTC) Week
1 EvbCFfp1XB 15 6.63247 18 9 1.33237 2018-10-04 08:37:03 40
2 Nakano 15 6.63265 18 9 1.33255 2018-10-01 06:47:59 40
3 Nakano 15 6.63304 18 9 1.33294 2018-07-20 03:50:24 29
4 Yoshiki Satotani 15 6.76093 18 9 1.46083 2018-09-07 06:58:23 36
5 JD 15 7.05820 18 9 1.75810 2018-10-14 08:55:23 41
6 Teruaki Kitasuka 15 8.01985 18 9 2.71975 2018-07-27 07:04:46 30
7 EvbCFfp1XB 16 7.06613 18 10 1.76603 2018-06-10 15:50:55 23
8 (random) 24 9.52565 18 18 4.22555 2018-05-13 01:32:47 19

8 solutions

4×256 nodes, degree 4, length 24

Rank Author Diam. k ASPL l Length r Diam. gap ASPL gap Info. Date (UTC) Week
1 EvbCFfp1XB 11 6.00348 24 5 0.70339 2018-10-04 08:39:53 40
2 Nakano 11 6.00632 24 5 0.70622 2018-07-20 03:50:39 29
3 JD 11 6.07454 24 5 0.77444 2018-10-14 08:55:23 41
4 Teruaki Kitasuka 11 6.19625 24 5 0.89615 2018-07-27 07:04:46 30
5 Yoshiki Satotani 12 6.11326 24 6 0.81316 2018-09-07 06:58:23 36
6 EvbCFfp1XB 13 6.33117 24 7 1.03107 2018-06-10 15:52:03 23
7 (random) 19 8.02091 24 13 2.72082 2018-05-13 01:32:47 19

7 solutions

Other order/degree pairs

Author Order n Degree d Diam. k ASPL l Diam. gap ASPL gap Info. Date (UTC)
Yoshiki Satotani 41 20 9999 9999.000 9999 9999.000 2018-05-22 04:35:31
Yoshiki Satotani 43 5 9999 9999.000 9999 9999.000 2018-05-22 04:35:31
Haruishi masato 2304 10 9999 9999.000 9999 9999.000 2018-08-14 09:28:40
Teruaki Kitasuka 80050 6 8 6.862 1 0.228 2018-05-15 09:35:25
Teruaki Kitasuka 2394 10 4 3.601 0 0.027 2018-05-15 09:34:09
Teruaki Kitasuka 137745 8 7 6.130 1 0.320 2018-05-15 09:35:43
Hideyuki Tanaka 32 5 3 2.032 0 0.000 2018-05-21 13:29:49
Yoshiki Satotani 41 5 9999 9999.000 9999 9999.000 2018-05-22 04:35:31
Yoshiki Satotani 41 12 9999 9999.000 9999 9999.000 2018-05-22 04:35:31
Yoshiki Satotani 41 13 9999 9999.000 9999 9999.000 2018-05-22 04:35:31
Yoshiki Satotani 51 7 9999 9999.000 9999 9999.000 2018-05-22 04:35:31
Teruaki Kitasuka 20468 11 5 4.464 0 0.127 2018-05-15 09:35:08

12 solutions

Note: Teruaki Kitasuka's four Ceyley graphs break the world records of DDP. We include these graphs here to praise his achievement.