Table 1:
𝑑
(
𝑃
𝑛
,
𝑗
)
, the number of dominating set of
𝑃
𝑛
with cardinality
𝑗
.
𝑗
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
𝑛
1
1
2
2
1
3
1
3
1
4
0
4
4
1
5
0
3
8
5
1
6
0
1
10
13
6
1
7
0
0
8
22
19
7
1
8
0
0
4
26
40
26
8
1
9
0
0
1
22
61
65
34
9
1
10
0
0
0
13
70
120
98
43
10
1
11
0
0
0
5
61
171
211
140
53
11
1
12
0
0
0
1
40
192
356
343
192
64
12
1
13
0
0
0
0
19
171
483
665
526
255
76
13
1
14
0
0
0
0
6
120
534
1050
1148
771
330
89
14
1
15
0
0
0
0
1
65
483
1373
2058
1866
1090
418
103
15
1