IowaHawkBlog's Degrees of Separation Ranking through Week 14

Here are this weeks Degrees of Separation Rankings based on the three different weighting systems we are playing with.  I am copying and pasting the description of this ranking technique as I wrote it two weeks ago:

"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	11	1	SEC	124	390
2	LSU	12	0	SEC	120	386
3	Ohio State	12	0	B10	121	384
4	Michigan	9	3	B10	120	370
5	Notre Dame	10	2	IND	121	369
6	Penn State	10	2	B10	124	365
7	Auburn	9	3	SEC	122	364
8	Wisconsin	10	2	B10	121	364
9	Florida	10	2	SEC	124	359
10	BYU	7	5	IND	121	345
11	Cincinnati	10	2	AAC	113	338
12	Minnesota	10	2	B10	123	338
13	SMU	10	2	AAC	116	338
14	Clemson	12	0	ACC	116	337
15	Memphis	11	1	AAC	115	335
16	Iowa	9	3	B10	117	334
17	Boise State	11	1	MWC	116	333
18	Kentucky	7	5	SEC	124	332
19	Utah	11	1	PAC	118	327
20	UCF	9	3	AAC	118	323
21	Oklahoma St.	8	4	B12	116	320
22	Navy	9	2	AAC	116	315
23	App. St.	11	1	SUN	114	309
24	Pittsburgh	7	5	ACC	114	308
25	Toledo	6	6	MID	121	308
26	Oklahoma	11	1	B12	111	305
27	Kansas St.	8	4	B12	113	304
28	Tennessee	7	5	SEC	123	303
29	Buffalo	7	5	MID	119	302
30	Wake Forest	8	4	ACC	112	302
31	Arizona St.	7	5	PAC	113	300
32	Temple	8	4	AAC	112	300
33	San Diego St.	9	3	MWC	116	299
34	Baylor	11	1	B12	111	298
35	Wash.	7	5	PAC	115	297
36	Alabama	10	2	SEC	115	296
37	S. Carolina	4	8	SEC	120	296
38	Mich. St.	6	6	B10	115	291
39	Miami (FL)	6	6	ACC	113	290
40	Texas	7	5	B12	110	290
41	USC	8	4	PAC	111	287
42	Colorado	5	7	PAC	113	286
43	Virginia	9	3	ACC	111	285
44	Miss. St.	6	6	SEC	116	283
45	Virginia Tech	8	4	ACC	112	282
46	Illinois	6	6	B10	117	280
47	Missouri	6	6	SEC	116	280
48	Tulsa	4	8	AAC	116	279
49	Air Force	10	2	MWC	112	278
50	Oregon	10	2	PAC	109	278
51	Louisville	7	5	ACC	104	275
52	Syracuse	5	7	ACC	108	270
53	N. Carolina	6	6	ACC	113	267
54	Hawaii	9	4	MWC	104	265
55	California	7	5	PAC	107	263
56	E. Mich.	6	6	MID	114	259
57	W. Virginia	5	7	B12	108	256
58	Wyoming	7	5	MWC	113	255
59	Texas A&M	7	5	SEC	110	253
60	Florida St.	6	6	ACC	99	252
61	Iowa State	7	5	B12	106	252
62	Nebraska	5	7	B10	108	251
63	Georgia St.	7	5	SUN	107	250
64	BC	6	6	ACC	106	249
65	Stanford	4	8	PAC	106	249
66	UL Lafayette	10	2	SUN	107	248
67	W. Michigan	7	5	MID	113	247
68	Florida Atl.	9	3	USA	103	244
69	Nevada	7	5	MWC	105	242
70	Wash. St.	6	6	PAC	105	241
71	Ball State	5	7	MID	112	239
72	Oregon St.	5	7	PAC	103	239
73	TCU	5	7	B12	109	239
74	Georgia Tech	3	9	ACC	104	238
75	S. Florida	4	8	AAC	109	238
76	C. Mich.	8	4	MID	107	237
77	Indiana	8	4	B10	104	237
78	Tulane	6	6	AAC	103	236
79	Utah State	7	5	MWC	106	236
80	Duke	5	7	ACC	101	235
81	Georgia So.	7	5	SUN	96	233
82	UCLA	4	8	PAC	100	232
83	Arizona	4	8	PAC	106	229
84	Kent State	6	6	MID	107	225
85	N. Illinois	5	7	MID	105	224
86	Texas Tech	4	8	B12	106	223
87	Arkansas St.	7	5	SUN	102	221
88	Marshall	8	4	USA	87	217
89	Vanderbilt	3	9	SEC	110	217
90	NC State	4	8	ACC	99	216
91	Purdue	4	8	B10	99	216
92	UNLV	4	8	MWC	99	212
93	Kansas	3	9	B12	104	209
94	LA Tech	9	3	USA	93	208
95	Northwestern	3	9	B10	100	208
96	Florida Int.	6	6	USA	87	206
97	W. Kentucky	8	4	USA	81	202
98	Miami (OH)	7	5	MID	99	199
99	Houston	4	8	AAC	97	197
100	Liberty	7	5	IND	99	196
101	Ohio	6	6	MID	99	195
102	Bowling Grn	3	9	MID	98	191
103	Coastal Caro.	5	7	SUN	90	180
104	Fresno St.	4	8	MWC	83	179
105	Maryland	3	9	B10	80	171
106	UL Monroe	5	7	SUN	82	167
107	UAB	9	3	USA	73	163
108	Mid. Tenn.	4	8	USA	70	161
109	Troy	5	7	SUN	76	152
110	Texas State	3	9	SUN	74	146
111	Charlotte	7	5	USA	64	143
112	S. Miss.	7	5	USA	62	140
113	Colorado St.	4	8	MWC	72	138
114	Ole Miss	4	8	SEC	69	134
115	San Jose St.	5	7	MWC	61	130
116	S. Alabama	2	10	SUN	65	121
117	Rutgers	2	10	B10	56	103
118	North Texas	4	8	USA	48	100
119	Rice	3	9	USA	48	100
120	Arkansas	2	10	SEC	38	69
121	Army	5	7	IND	28	65
122	UTSA	4	8	USA	28	57
123	E. Carolina	4	8	AAC	4	17
124	Connecticut	2	10	AAC	2	9
125	New Mexico	2	10	MWC	2	9
126	UMASS	1	11	MID	1	5
127	NM St.	2	10	IND	1	5
128	Akron	0	12	MID	0	0
129	Old Dominion	1	11	USA	0	0
130	UTEP	1	11	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	12	0	B10	121	3878
2	LSU	12	0	SEC	120	3606
3	Clemson	12	0	ACC	116	3481
4	Georgia	11	1	SEC	124	3361
5	Notre Dame	10	2	IND	121	3327
6	Wisconsin	10	2	B10	121	3262
7	Cincinnati	10	2	AAC	113	3191
8	SMU	10	2	AAC	116	3183
9	Boise State	11	1	MWC	116	3171
10	Memphis	11	1	AAC	115	3150
11	Utah	11	1	PAC	118	3139
12	App. St.	11	1	SUN	114	3106
13	Oklahoma	11	1	B12	111	3051
14	Michigan	9	3	B10	120	3040
15	Baylor	11	1	B12	111	3008
16	Penn State	10	2	B10	124	3004
17	Iowa	9	3	B10	117	2951
18	Minnesota	10	2	B10	123	2898
19	Alabama	10	2	SEC	115	2791
20	Oregon	10	2	PAC	109	2787
21	Auburn	9	3	SEC	122	2779
22	Air Force	10	2	MWC	112	2755
23	Florida	10	2	SEC	124	2695
24	UL Lafayette	10	2	SUN	107	2668
25	UCF	9	3	AAC	118	2608
26	Navy	9	2	AAC	116	2588
27	San Diego St.	9	3	MWC	116	2564
28	USC	8	4	PAC	111	2531
29	Virginia	9	3	ACC	111	2515
30	Hawaii	9	4	MWC	104	2501
31	Florida Atl.	9	3	USA	103	2439
32	W. Kentucky	8	4	USA	81	2368
33	Wake Forest	8	4	ACC	112	2332
34	Oklahoma St.	8	4	B12	116	2327
35	LA Tech	9	3	USA	93	2326
36	Kansas St.	8	4	B12	113	2303
37	Temple	8	4	AAC	112	2296
38	Texas	7	5	B12	110	2268
39	UAB	9	3	USA	73	2253
40	BYU	7	5	IND	121	2228
41	Marshall	8	4	USA	87	2179
42	Indiana	8	4	B10	104	2145
43	C. Mich.	8	4	MID	107	2121
44	Arizona St.	7	5	PAC	113	2116
45	Pittsburgh	7	5	ACC	114	2101
46	Kentucky	7	5	SEC	124	2098
47	Wash.	7	5	PAC	115	2085
48	Tennessee	7	5	SEC	123	2068
49	Louisville	7	5	ACC	104	2064
50	Mich. St.	6	6	B10	115	2044
51	Buffalo	7	5	MID	119	2034
52	Illinois	6	6	B10	117	1993
53	Virginia Tech	8	4	ACC	112	1990
54	California	7	5	PAC	107	1977
55	Georgia St.	7	5	SUN	107	1957
56	Wyoming	7	5	MWC	113	1948
57	W. Michigan	7	5	MID	113	1928
58	Iowa State	7	5	B12	106	1927
59	Texas A&M	7	5	SEC	110	1927
60	Nevada	7	5	MWC	105	1925
61	Georgia So.	7	5	SUN	96	1905
62	Utah State	7	5	MWC	106	1885
63	Arkansas St.	7	5	SUN	102	1863
64	Toledo	6	6	MID	121	1837
65	Miami (FL)	6	6	ACC	113	1830
66	Miss. St.	6	6	SEC	116	1817
67	Colorado	5	7	PAC	113	1790
68	Miami (OH)	7	5	MID	99	1790
69	Charlotte	7	5	USA	64	1754
70	S. Miss.	7	5	USA	62	1740
71	E. Mich.	6	6	MID	114	1729
72	Missouri	6	6	SEC	116	1721
73	N. Carolina	6	6	ACC	113	1718
74	Florida St.	6	6	ACC	99	1717
75	Nebraska	5	7	B10	108	1689
76	BC	6	6	ACC	106	1686
77	Wash. St.	6	6	PAC	105	1662
78	Tulane	6	6	AAC	103	1655
79	Kent State	6	6	MID	107	1596
80	Florida Int.	6	6	USA	87	1592
81	Syracuse	5	7	ACC	108	1544
82	Ohio	6	6	MID	99	1535
83	Tulsa	4	8	AAC	116	1517
84	Stanford	4	8	PAC	106	1426
85	W. Virginia	5	7	B12	108	1423
86	Duke	5	7	ACC	101	1408
87	UCLA	4	8	PAC	100	1406
88	TCU	5	7	B12	109	1397
89	Oregon St.	5	7	PAC	103	1389
90	Ball State	5	7	MID	112	1383
91	N. Illinois	5	7	MID	105	1365
92	Purdue	4	8	B10	99	1334
93	Liberty	7	5	IND	99	1299
94	Coastal Caro.	5	7	SUN	90	1270
95	UL Monroe	5	7	SUN	82	1256
96	S. Carolina	4	8	SEC	120	1242
97	Troy	5	7	SUN	76	1238
98	San Jose St.	5	7	MWC	61	1228
99	Georgia Tech	3	9	ACC	104	1135
100	Arizona	4	8	PAC	106	1114
101	NC State	4	8	ACC	99	1112
102	S. Florida	4	8	AAC	109	1103
103	UNLV	4	8	MWC	99	1093
104	Northwestern	3	9	B10	100	1089
105	Texas Tech	4	8	B12	106	1077
106	Houston	4	8	AAC	97	1065
107	Fresno St.	4	8	MWC	83	1055
108	Mid. Tenn.	4	8	USA	70	1038
109	Colorado St.	4	8	MWC	72	960
110	Ole Miss	4	8	SEC	69	945
111	North Texas	4	8	USA	48	908
112	Rice	3	9	USA	48	908
113	Army	5	7	IND	28	880
114	Vanderbilt	3	9	SEC	110	847
115	UTSA	4	8	USA	28	836
116	Kansas	3	9	B12	104	825
117	Bowling Grn	3	9	MID	98	771
118	Maryland	3	9	B10	80	753
119	Texas State	3	9	SUN	74	722
120	Rutgers	2	10	B10	56	659
121	E. Carolina	4	8	AAC	4	532
122	S. Alabama	2	10	SUN	65	453
123	Arkansas	2	10	SEC	38	361
124	Connecticut	2	10	AAC	2	272
125	New Mexico	2	10	MWC	2	272
126	UMASS	1	11	MID	1	256
127	NM St.	2	10	IND	1	256
128	Akron	0	12	MID	0	0
129	Old Dominion	1	11	USA	0	0
130	UTEP	1	11	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	12	0	B10	121	16108
2	LSU	12	0	SEC	120	14928
3	Clemson	12	0	ACC	116	14270
4	Georgia	11	1	SEC	124	13948
5	Notre Dame	10	2	IND	121	13826
6	Wisconsin	10	2	B10	121	13336
7	Cincinnati	10	2	AAC	113	12954
8	SMU	10	2	AAC	116	12887
9	Boise State	11	1	MWC	116	12825
10	Memphis	11	1	AAC	115	12642
11	Utah	11	1	PAC	118	12607
12	Michigan	9	3	B10	120	12532
13	App. St.	11	1	SUN	114	12472
14	Penn State	10	2	B10	124	12273
15	Iowa	9	3	B10	117	12072
16	Oklahoma	11	1	B12	111	12059
17	Baylor	11	1	B12	111	11761
18	Minnesota	10	2	B10	123	11609
19	Auburn	9	3	SEC	122	11496
20	Oregon	10	2	PAC	109	11152
21	Alabama	10	2	SEC	115	11050
22	Air Force	10	2	MWC	112	10890
23	Florida	10	2	SEC	124	10850
24	UCF	9	3	AAC	118	10409
25	UL Lafayette	10	2	SUN	107	10405
26	Navy	9	2	AAC	116	10306
27	San Diego St.	9	3	MWC	116	10226
28	USC	8	4	PAC	111	10049
29	Hawaii	9	4	MWC	104	9970
30	Virginia	9	3	ACC	111	9934
31	Florida Atl.	9	3	USA	103	9619
32	Wake Forest	8	4	ACC	112	9366
33	W. Kentucky	8	4	USA	81	9365
34	BYU	7	5	IND	121	9244
35	Oklahoma St.	8	4	B12	116	9193
36	Kansas St.	8	4	B12	113	9116
37	Temple	8	4	AAC	112	9089
38	LA Tech	9	3	USA	93	8971
39	Texas	7	5	B12	110	8936
40	Marshall	8	4	USA	87	8758
41	UAB	9	3	USA	73	8720
42	Arizona St.	7	5	PAC	113	8666
43	Pittsburgh	7	5	ACC	114	8487
44	Wash.	7	5	PAC	115	8435
45	Louisville	7	5	ACC	104	8432
46	Indiana	8	4	B10	104	8324
47	Kentucky	7	5	SEC	124	8282
48	Tennessee	7	5	SEC	123	8247
49	Mich. St.	6	6	B10	115	8146
50	C. Mich.	8	4	MID	107	8127
51	Buffalo	7	5	MID	119	7983
52	California	7	5	PAC	107	7811
53	Illinois	6	6	B10	117	7810
54	Virginia Tech	8	4	ACC	112	7776
55	Georgia St.	7	5	SUN	107	7742
56	Wyoming	7	5	MWC	113	7628
57	Nevada	7	5	MWC	105	7542
58	W. Michigan	7	5	MID	113	7523
59	Iowa State	7	5	B12	106	7486
60	Texas A&M	7	5	SEC	110	7475
61	Miami (FL)	6	6	ACC	113	7458
62	Georgia So.	7	5	SUN	96	7453
63	Miss. St.	6	6	SEC	116	7400
64	Toledo	6	6	MID	121	7379
65	Utah State	7	5	MWC	106	7260
66	Arkansas St.	7	5	SUN	102	7193
67	Colorado	5	7	PAC	113	7163
68	Charlotte	7	5	USA	64	6903
69	E. Mich.	6	6	MID	114	6861
70	Florida St.	6	6	ACC	99	6828
71	S. Miss.	7	5	USA	62	6813
72	Miami (OH)	7	5	MID	99	6762
73	N. Carolina	6	6	ACC	113	6716
74	Missouri	6	6	SEC	116	6645
75	Nebraska	5	7	B10	108	6600
76	BC	6	6	ACC	106	6592
77	Wash. St.	6	6	PAC	105	6456
78	Tulane	6	6	AAC	103	6437
79	Syracuse	5	7	ACC	108	6326
80	Florida Int.	6	6	USA	87	6156
81	Tulsa	4	8	AAC	116	6036
82	Kent State	6	6	MID	107	6034
83	Ohio	6	6	MID	99	5762
84	Stanford	4	8	PAC	106	5523
85	UCLA	4	8	PAC	100	5488
86	Duke	5	7	ACC	101	5482
87	W. Virginia	5	7	B12	108	5447
88	TCU	5	7	B12	109	5357
89	Oregon St.	5	7	PAC	103	5298
90	Ball State	5	7	MID	112	5241
91	N. Illinois	5	7	MID	105	5209
92	Purdue	4	8	B10	99	5021
93	Liberty	7	5	IND	99	4880
94	San Jose St.	5	7	MWC	61	4812
95	Coastal Caro.	5	7	SUN	90	4768
96	UL Monroe	5	7	SUN	82	4755
97	Troy	5	7	SUN	76	4722
98	S. Carolina	4	8	SEC	120	4721
99	Georgia Tech	3	9	ACC	104	4284
100	NC State	4	8	ACC	99	4259
101	Arizona	4	8	PAC	106	4176
102	UNLV	4	8	MWC	99	4134
103	Northwestern	3	9	B10	100	4129
104	Mid. Tenn.	4	8	USA	70	4080
105	Fresno St.	4	8	MWC	83	4077
106	S. Florida	4	8	AAC	109	4020
107	Houston	4	8	AAC	97	4016
108	Texas Tech	4	8	B12	106	3920
109	Colorado St.	4	8	MWC	72	3611
110	Army	5	7	IND	28	3526
111	Ole Miss	4	8	SEC	69	3521
112	North Texas	4	8	USA	48	3484
113	Rice	3	9	USA	48	3484
114	UTSA	4	8	USA	28	3227
115	Vanderbilt	3	9	SEC	110	3132
116	Kansas	3	9	B12	104	3017
117	Maryland	3	9	B10	80	2728
118	Bowling Grn	3	9	MID	98	2714
119	Texas State	3	9	SUN	74	2661
120	Rutgers	2	10	B10	56	2475
121	E. Carolina	4	8	AAC	4	2110
122	S. Alabama	2	10	SUN	65	1706
123	Arkansas	2	10	SEC	38	1358
124	Connecticut	2	10	AAC	2	1100
125	New Mexico	2	10	MWC	2	1100
126	UMASS	1	11	MID	1	1000
127	NM St.	2	10	IND	1	1000
128	Akron	0	12	MID	0	0
129	Old Dominion	1	11	USA	0	0
130	UTEP	1	11	USA	0	0