Fascinating!
For an average amount of jump points of 3 (guesstimate) per system and 100 systems to generate, the amount of links will be something like (crudely generated approximation, doesn't prevent systems linking to itself, but should be close enough):
1 1
2 4
3 2
4 4
5 1
6 5
7 1
8 6
9 3
10 2
11 2
12 3
13 1
14 1
15 6
16 2
17 2
18 2
19 4
20 1
21 7
22 2
23 1
24 3
25 6
26 4
27 3
28 6
29 2
30 2
31 4
32 5
33 2
34 5
35 4
36 2
37 1
38 1
39 6
40 3
41 2
42 0
43 2
44 4
45 2
46 1
47 1
48 1
49 1
50 1
51 2
52 5
53 4
54 2
55 3
56 6
57 6
58 0
59 3
60 1
61 5
62 3
63 2
64 3
65 5
66 5
67 0
68 3
69 1
70 1
71 2
72 5
73 4
74 2
75 0
76 4
77 3
78 3
79 4
80 7
81 2
82 3
83 3
84 2
85 4
86 4
87 4
88 5
89 6
90 2
91 4
92 5
93 5
94 4
95 2
96 2
97 2
98 5
99 2
100 3
For 50 systems:
1 2
2 7
3 11
4 5
5 9
6 6
7 9
8 2
9 9
10 3
11 4
12 9
13 4
14 5
15 3
16 5
17 3
18 6
19 7
20 5
21 6
22 5
23 7
24 4
25 2
26 5
27 5
28 8
29 5
30 4
31 7
32 8
33 8
34 7
35 5
36 8
37 8
38 8
39 8
40 5
41 12
42 7
43 4
44 6
45 3
46 5
47 9
48 6
49 6
50 5
Twelve systems linking to one!
EDIT: What, no spoiler block?