IowaHawkBlog's Degrees of Separation Ranking through Week 13

I'm just going to copy and paste the description of this system and the explanations of the three tables you'll see below from my post about this from last week:

In this system, a team's rank is based solely on who they have defeated, and who those teams have defeated, and who those teams have defeated, down 5 levels.   I think the easiest way to explain this is with an example.  Let's say Team A defeated Team B and Team C.  Team A will get 5 points for each of those wins.  Let's then assume Team B has beaten D and E while C has only beaten F.  While B and C will get their points for those respective wins, Team A will also get 4 points for each of those three "Linked Wins."  This process continues down to give 3 points, and 2 points, and 1 point for each successive "Degree of Separation" of the linked wins. 

That's it. Teams can't get points for a linked win over themselves, and can only get credit for each of the other FBS teams once---at whatever the fewest degrees of separation is that gives them that linked win.

We have played around with what weights to use for each win at each degree of separation.  In the example above I used {5,4,3,2,1} for the weights at each degree, but below I am also including rankings based on other weight vectors.  First though, the linear one using {5,4,3,2,1}:

Rank	Team	W	L	Conf	Linked Wins	Score
1	Georgia	10	1	SEC	122	373
2	LSU	11	0	SEC	119	372
3	Michigan	9	2	B10	120	366
4	Ohio State	11	0	B10	120	360
5	Notre Dame	9	2	IND	117	358
6	Penn State	9	2	B10	123	357
7	Wisconsin	9	2	B10	120	348
8	Florida	9	2	SEC	122	340
9	BYU	7	4	IND	118	335
10	Cincinnati	10	1	AAC	113	334
11	Auburn	8	3	SEC	117	329
12	Iowa	8	3	B10	116	328
13	SMU	9	2	AAC	115	328
14	Minnesota	10	1	B10	121	326
15	Boise State	10	1	MWC	115	324
16	Oklahoma St.	8	3	B12	115	312
17	Clemson	11	0	ACC	110	311
18	Navy	8	2	AAC	114	310
19	Utah	10	1	PAC	114	309
20	Memphis	10	1	AAC	112	304
21	Toledo	6	5	MID	117	301
22	Oklahoma	10	1	B12	111	299
23	App. St.	10	1	SUN	111	296
24	Pittsburgh	7	4	ACC	112	295
25	Buffalo	6	5	MID	117	293
26	UCF	8	3	AAC	111	293
27	Kansas St.	7	4	B12	112	291
28	Temple	7	4	AAC	111	286
29	Alabama	10	1	SEC	112	284
30	Wake Forest	8	3	ACC	106	284
31	Baylor	10	1	B12	111	283
32	Texas	6	5	B12	110	282
33	Wash.	6	5	PAC	113	281
34	USC	8	4	PAC	108	279
35	Miami (FL)	6	5	ACC	108	277
36	Virginia Tech	8	3	ACC	110	277
37	S. Carolina	4	7	SEC	116	275
38	Kentucky	6	5	SEC	119	274
39	Louisville	7	4	ACC	104	274
40	Tennessee	6	5	SEC	119	274
41	Virginia	8	3	ACC	108	274
42	Arizona St.	6	5	PAC	102	270
43	Illinois	6	5	B10	115	269
44	Oregon	9	2	PAC	104	269
45	Colorado	5	6	PAC	107	267
46	N. Carolina	5	6	ACC	111	257
47	Tulsa	3	8	AAC	109	257
48	E. Mich.	6	5	MID	114	255
49	Mich. St.	5	6	B10	102	253
50	Miss. St.	5	6	SEC	108	250
51	Missouri	5	6	SEC	113	249
52	Air Force	9	2	MWC	98	246
53	Iowa State	7	4	B12	105	246
54	Florida St.	6	5	ACC	94	240
55	California	6	5	PAC	99	239
56	Texas A&M	7	4	SEC	107	237
57	W. Michigan	7	4	MID	105	236
58	Georgia Tech	3	8	ACC	104	235
59	San Diego St.	8	3	MWC	95	232
60	S. Florida	4	7	AAC	106	232
61	TCU	5	6	B12	106	232
62	Oregon St.	5	6	PAC	101	231
63	Wash. St.	6	5	PAC	98	230
64	Florida Atl.	8	3	USA	100	229
65	UL Lafayette	9	2	SUN	98	228
66	W. Virginia	4	7	B12	102	228
67	Wyoming	7	4	MWC	99	228
68	Hawaii	8	4	MWC	92	226
69	Tulane	6	5	AAC	98	223
70	UCLA	4	7	PAC	96	223
71	BC	5	6	ACC	97	221
72	Georgia St.	7	4	SUN	93	221
73	Stanford	4	7	PAC	97	221
74	Arizona	4	7	PAC	100	220
75	Ball State	4	7	MID	104	220
76	Syracuse	4	7	ACC	94	219
77	Nebraska	5	6	B10	104	216
78	Texas Tech	4	7	B12	103	215
79	Duke	4	7	ACC	98	212
80	Georgia So.	6	5	SUN	89	209
81	LA Tech	8	3	USA	93	205
82	N. Illinois	4	7	MID	101	205
83	Indiana	7	4	B10	95	201
84	Nevada	7	4	MWC	84	199
85	Florida Int.	6	5	USA	84	198
86	Utah State	6	5	MWC	88	198
87	Kansas	3	8	B12	101	197
88	Vanderbilt	3	8	SEC	102	197
89	W. Kentucky	7	4	USA	79	195
90	NC State	4	7	ACC	96	192
91	Marshall	7	4	USA	81	190
92	Miami (OH)	7	4	MID	96	190
93	Liberty	6	5	IND	96	189
94	Bowling Grn	3	8	MID	96	188
95	Ohio	5	6	MID	96	186
96	Purdue	4	7	B10	89	186
97	Kent State	5	6	MID	96	185
98	C. Mich.	7	4	MID	89	184
99	Houston	4	7	AAC	89	183
100	Arkansas St.	7	4	SUN	82	182
101	Mid. Tenn.	4	7	USA	68	157
102	UL Monroe	5	6	SUN	74	154
103	Coastal Caro.	4	7	SUN	79	153
104	Fresno St.	4	7	MWC	70	152
105	Troy	5	6	SUN	71	141
106	Charlotte	6	5	USA	60	137
107	Maryland	3	8	B10	69	136
108	S. Miss.	7	4	USA	59	135
109	UNLV	3	8	MWC	67	134
110	UAB	8	3	USA	61	132
111	Texas State	3	8	SUN	63	131
112	Ole Miss	4	7	SEC	64	123
113	Colorado St.	4	7	MWC	60	119
114	Rutgers	2	9	B10	54	99
115	North Texas	4	7	USA	46	98
116	Rice	2	9	USA	46	97
117	Northwestern	2	9	B10	40	77
118	San Jose St.	4	7	MWC	31	76
119	Army	5	6	IND	28	65
120	Arkansas	2	9	SEC	33	62
121	UTSA	4	7	USA	28	57
122	E. Carolina	4	7	AAC	4	17
123	Connecticut	2	9	AAC	2	9
124	New Mexico	2	9	MWC	2	9
125	UMASS	1	11	MID	1	5
126	NM St.	2	9	IND	1	5
127	Akron	0	11	MID	0	0
128	Old Dominion	1	10	USA	0	0
129	S. Alabama	1	10	SUN	0	0
130	UTEP	1	10	USA	0	0

Here is the rankings using weights of {256,16,4,2,1}:

Rank	Team	W	L	Conf	Linked Wins	Score
1	Ohio State	11	0	B10	120	3559
2	LSU	11	0	SEC	119	3283
3	Cincinnati	10	1	AAC	113	3174
4	Clemson	11	0	ACC	110	3154
5	Georgia	10	1	SEC	122	3034
6	Notre Dame	9	2	IND	117	3032
7	Michigan	9	2	B10	120	3022
8	Wisconsin	9	2	B10	120	2956
9	SMU	9	2	AAC	115	2909
10	Boise State	10	1	MWC	115	2908
11	Minnesota	10	1	B10	121	2871
12	Utah	10	1	PAC	114	2842
13	Memphis	10	1	AAC	112	2823
14	App. St.	10	1	SUN	111	2819
15	Oklahoma	10	1	B12	111	2794
16	Alabama	10	1	SEC	112	2763
17	Baylor	10	1	B12	111	2739
18	Penn State	9	2	B10	123	2723
19	Iowa	8	3	B10	116	2693
20	Oregon	9	2	PAC	104	2539
21	USC	8	4	PAC	108	2521
22	Air Force	9	2	MWC	98	2457
23	Auburn	8	3	SEC	117	2438
24	UL Lafayette	9	2	SUN	98	2407
25	Florida	9	2	SEC	122	2374
26	Navy	8	2	AAC	114	2344
27	UCF	8	3	AAC	111	2308
28	Oklahoma St.	8	3	B12	115	2304
29	Wake Forest	8	3	ACC	106	2277
30	Virginia	8	3	ACC	108	2252
31	BYU	7	4	IND	118	2205
32	Hawaii	8	4	MWC	92	2170
33	San Diego St.	8	3	MWC	95	2166
34	Florida Atl.	8	3	USA	100	2158
35	W. Kentucky	7	4	USA	79	2121
36	LA Tech	8	3	USA	93	2084
37	Pittsburgh	7	4	ACC	112	2062
38	Louisville	7	4	ACC	104	2052
39	Kansas St.	7	4	B12	112	2024
40	Temple	7	4	AAC	111	2015
41	Texas	6	5	B12	110	2008
42	Virginia Tech	8	3	ACC	110	1982
43	Illinois	6	5	B10	115	1967
44	UAB	8	3	USA	61	1966
45	Iowa State	7	4	B12	105	1919
46	W. Michigan	7	4	MID	105	1916
47	Georgia St.	7	4	SUN	93	1914
48	Texas A&M	7	4	SEC	107	1908
49	Wyoming	7	4	MWC	99	1908
50	Marshall	7	4	USA	81	1886
51	Nevada	7	4	MWC	84	1865
52	Indiana	7	4	B10	95	1831
53	Toledo	6	5	MID	117	1829
54	Arkansas St.	7	4	SUN	82	1809
55	Arizona St.	6	5	PAC	102	1797
56	Miami (FL)	6	5	ACC	108	1792
57	Wash.	6	5	PAC	113	1781
58	C. Mich.	7	4	MID	89	1776
59	Buffalo	6	5	MID	117	1773
60	Colorado	5	6	PAC	107	1768
61	Miami (OH)	7	4	MID	96	1768
62	Tennessee	6	5	SEC	119	1758
63	S. Miss.	7	4	USA	59	1734
64	Mich. St.	5	6	B10	102	1716
65	E. Mich.	6	5	MID	114	1713
66	Kentucky	6	5	SEC	119	1702
67	Florida St.	6	5	ACC	94	1693
68	California	6	5	PAC	99	1687
69	Wash. St.	6	5	PAC	98	1650
70	Tulane	6	5	AAC	98	1629
71	Nebraska	5	6	B10	104	1621
72	Georgia So.	6	5	SUN	89	1601
73	Utah State	6	5	MWC	88	1591
74	Florida Int.	6	5	USA	84	1582
75	Charlotte	6	5	USA	60	1509
76	Miss. St.	5	6	SEC	108	1494
77	N. Carolina	5	6	ACC	111	1434
78	Missouri	5	6	SEC	113	1421
79	UCLA	4	7	PAC	96	1396
80	BC	5	6	ACC	97	1391
81	TCU	5	6	B12	106	1388
82	Oregon St.	5	6	PAC	101	1379
83	Stanford	4	7	PAC	97	1368
84	Purdue	4	7	B10	89	1300
85	Liberty	6	5	IND	96	1280
86	Ohio	5	6	MID	96	1274
87	Kent State	5	6	MID	96	1262
88	UL Monroe	5	6	SUN	74	1242
89	Tulsa	3	8	AAC	109	1220
90	Troy	5	6	SUN	71	1215
91	S. Carolina	4	7	SEC	116	1190
92	Syracuse	4	7	ACC	94	1150
93	Georgia Tech	3	8	ACC	104	1130
94	W. Virginia	4	7	B12	102	1112
95	Arizona	4	7	PAC	100	1105
96	S. Florida	4	7	AAC	106	1096
97	Duke	4	7	ACC	98	1094
98	Ball State	4	7	MID	104	1090
99	N. Illinois	4	7	MID	101	1069
100	Texas Tech	4	7	B12	103	1069
101	NC State	4	7	ACC	96	1059
102	Houston	4	7	AAC	89	1038
103	Mid. Tenn.	4	7	USA	68	1034
104	Fresno St.	4	7	MWC	70	1013
105	Coastal Caro.	4	7	SUN	79	989
106	Ole Miss	4	7	SEC	64	933
107	Colorado St.	4	7	MWC	60	929
108	North Texas	4	7	USA	46	906
109	San Jose St.	4	7	MWC	31	896
110	Army	5	6	IND	28	880
111	UTSA	4	7	USA	28	836
112	Vanderbilt	3	8	SEC	102	801
113	Kansas	3	8	B12	101	800
114	Bowling Grn	3	8	MID	96	768
115	UNLV	3	8	MWC	67	708
116	Texas State	3	8	SUN	63	706
117	Maryland	3	8	B10	69	699
118	Rice	2	9	USA	46	666
119	Rutgers	2	9	B10	54	654
120	Northwestern	2	9	B10	40	620
121	E. Carolina	4	7	AAC	4	532
122	Arkansas	2	9	SEC	33	353
123	Connecticut	2	9	AAC	2	272
124	New Mexico	2	9	MWC	2	272
125	UMASS	1	11	MID	1	256
126	NM St.	2	9	IND	1	256
127	Akron	0	11	MID	0	0
128	Old Dominion	1	10	USA	0	0
129	S. Alabama	1	10	SUN	0	0
130	UTEP	1	10	USA	0	0

Here is the rankings using weights of {1000,100,10,1,0}:

Rank	Team	W	L	Conf	Linked Wins	Score
1	Ohio State	11	0	B10	120	14734
2	LSU	11	0	SEC	119	13450
3	Clemson	11	0	ACC	110	12850
4	Cincinnati	10	1	AAC	113	12845
5	Notre Dame	9	2	IND	117	12556
6	Georgia	10	1	SEC	122	12460
7	Michigan	9	2	B10	120	12415
8	Wisconsin	9	2	B10	120	12010
9	Boise State	10	1	MWC	115	11797
10	SMU	9	2	AAC	115	11777
11	Minnesota	10	1	B10	121	11478
12	Utah	10	1	PAC	114	11371
13	App. St.	10	1	SUN	111	11280
14	Memphis	10	1	AAC	112	11255
15	Penn State	9	2	B10	123	11092
16	Iowa	8	3	B10	116	11063
17	Oklahoma	10	1	B12	111	11057
18	Alabama	10	1	SEC	112	10912
19	Baylor	10	1	B12	111	10726
20	Oregon	9	2	PAC	104	10249
21	USC	8	4	PAC	108	10028
22	Auburn	8	3	SEC	117	10026
23	Air Force	9	2	MWC	98	9755
24	UL Lafayette	9	2	SUN	98	9479
25	Florida	9	2	SEC	122	9425
26	Navy	8	2	AAC	114	9404
27	UCF	8	3	AAC	111	9237
28	BYU	7	4	IND	118	9132
29	Oklahoma St.	8	3	B12	115	9065
30	Wake Forest	8	3	ACC	106	9055
31	Virginia	8	3	ACC	108	8922
32	Hawaii	8	4	MWC	92	8616
33	San Diego St.	8	3	MWC	95	8538
34	Florida Atl.	8	3	USA	100	8490
35	W. Kentucky	7	4	USA	79	8453
36	Louisville	7	4	ACC	104	8342
37	Pittsburgh	7	4	ACC	112	8266
38	LA Tech	8	3	USA	93	8069
39	Kansas St.	7	4	B12	112	7987
40	Temple	7	4	AAC	111	7951
41	Texas	6	5	B12	110	7924
42	Virginia Tech	8	3	ACC	110	7749
43	Illinois	6	5	B10	115	7680
44	UAB	8	3	USA	61	7665
45	Marshall	7	4	USA	81	7620
46	Georgia St.	7	4	SUN	93	7614
47	W. Michigan	7	4	MID	105	7512
48	Wyoming	7	4	MWC	99	7510
49	Iowa State	7	4	B12	105	7465
50	Texas A&M	7	4	SEC	107	7438
51	Nevada	7	4	MWC	84	7383
52	Toledo	6	5	MID	117	7368
53	Arizona St.	6	5	PAC	102	7344
54	Miami (FL)	6	5	ACC	108	7248
55	Colorado	5	6	PAC	107	7126
56	Wash.	6	5	PAC	113	7126
57	Indiana	7	4	B10	95	7083
58	Arkansas St.	7	4	SUN	82	7053
59	Tennessee	6	5	SEC	119	6984
60	Buffalo	6	5	MID	117	6972
61	Mich. St.	5	6	B10	102	6810
62	S. Miss.	7	4	USA	59	6803
63	C. Mich.	7	4	MID	89	6765
64	E. Mich.	6	5	MID	114	6760
65	Florida St.	6	5	ACC	94	6724
66	California	6	5	PAC	99	6678
67	Miami (OH)	7	4	MID	96	6651
68	Kentucky	6	5	SEC	119	6531
69	Wash. St.	6	5	PAC	98	6444
70	Tulane	6	5	AAC	98	6324
71	Nebraska	5	6	B10	104	6303
72	Georgia So.	6	5	SUN	89	6206
73	Utah State	6	5	MWC	88	6204
74	Florida Int.	6	5	USA	84	6135
75	Miss. St.	5	6	SEC	108	6064
76	Charlotte	6	5	USA	60	6002
77	N. Carolina	5	6	ACC	111	5526
78	Missouri	5	6	SEC	113	5476
79	UCLA	4	7	PAC	96	5475
80	BC	5	6	ACC	97	5448
81	TCU	5	6	B12	106	5337
82	Oregon St.	5	6	PAC	101	5276
83	Stanford	4	7	PAC	97	5262
84	Purdue	4	7	B10	89	4969
85	Tulsa	3	8	AAC	109	4831
86	Liberty	6	5	IND	96	4779
87	Ohio	5	6	MID	96	4752
88	UL Monroe	5	6	SUN	74	4742
89	Kent State	5	6	MID	96	4662
90	Troy	5	6	SUN	71	4619
91	Syracuse	4	7	ACC	94	4550
92	S. Carolina	4	7	SEC	116	4454
93	Georgia Tech	3	8	ACC	104	4265
94	Arizona	4	7	PAC	100	4173
95	W. Virginia	4	7	B12	102	4171
96	Duke	4	7	ACC	98	4143
97	Mid. Tenn.	4	7	USA	68	4078
98	Ball State	4	7	MID	104	4048
99	S. Florida	4	7	AAC	106	4009
100	NC State	4	7	ACC	96	4004
101	N. Illinois	4	7	MID	101	3988
102	Fresno St.	4	7	MWC	70	3942
103	Texas Tech	4	7	B12	103	3915
104	Houston	4	7	AAC	89	3905
105	Coastal Caro.	4	7	SUN	79	3732
106	San Jose St.	4	7	MWC	31	3574
107	Army	5	6	IND	28	3526
108	Colorado St.	4	7	MWC	60	3507
109	Ole Miss	4	7	SEC	64	3507
110	North Texas	4	7	USA	46	3484
111	UTSA	4	7	USA	28	3227
112	Vanderbilt	3	8	SEC	102	2910
113	Kansas	3	8	B12	101	2903
114	Bowling Grn	3	8	MID	96	2713
115	Texas State	3	8	SUN	63	2649
116	UNLV	3	8	MWC	67	2640
117	Rice	2	9	USA	46	2584
118	Maryland	3	8	B10	69	2551
119	Rutgers	2	9	B10	54	2465
120	Northwestern	2	9	B10	40	2360
121	E. Carolina	4	7	AAC	4	2110
122	Arkansas	2	9	SEC	33	1348
123	Connecticut	2	9	AAC	2	1100
124	New Mexico	2	9	MWC	2	1100
125	UMASS	1	11	MID	1	1000
126	NM St.	2	9	IND	1	1000
127	Akron	0	11	MID	0	0
128	Old Dominion	1	10	USA	0	0
129	S. Alabama	1	10	SUN	0	0
130	UTEP	1	10	USA	0	0