GTM Football Rankings
 

GTM Football Rankings is an application of a branch of mathematics called graph theory.  In the Graph Theory Method (GTM), the results of games between the 119 Division I-A teams are represented as a directed graph.  From this graph, the rating of a team is represented as a modified ratio of its "winning paths" to its "total paths".  What differentiates this method from the Colley Matrix method is that GTM takes into account not only the strength of schedule but the strength of teams beaten and the weakness of teams lost to.

Final rankings for previous seasons:  2001, 2002, 2003, 2004, 2005, 2006, 2007 GTM NFL Rankings:  NFL2008

Final GTM Football Rankings for the 2008 Season:

Rank Team Record Rating   Conference Rating
1 OKLAHOMA  11-1 0.83189   BIG 12 0.56844
2 TEXAS  11-1 0.82056   ACC 0.56251
3 UTAH  11-0 0.81671   SEC 0.55574
4 FLORIDA  11-1 0.81149   BIG EAST 0.55342
5 BOISE ST  11-0 0.80824   BIG 10 0.54970
6 TEXAS TECH  9-1 0.79665   MWC 0.53715
7 ALABAMA  12-1 0.76790   WAC 0.49080
8 OHIO ST  9-2 0.76619   PAC 10 0.48439
9 SOUTHERN CAL  11-1 0.76408   MAC 0.43460
10 PENN ST  10-1 0.75827   CUSA 0.41984
11 TCU  9-2 0.73587   SUNBELT 0.38058
12 CINCINNATI  10-2 0.72531   INDEP 0.36511
13 GEORGIA  8-3 0.72017      
14 BALL ST  11-1 0.71521      
15 PITTSBURGH  9-3 0.69906      
16 MICH ST  9-3 0.69446      
17 BYU  9-2 0.69181      
18 OKLAHOMA ST  8-3 0.69116      
19 OREGON  9-3 0.66593      
20 OREGON ST  8-4 0.65410      
21 GEORGIA TECH  7-3 0.65092      
22 MISSOURI  8-4 0.64763      
23 BOSTON COLLEGE  8-4 0.64090      
24 FLORIDA ST  6-4 0.63670      
25 NEBRASKA  8-4 0.63565      
26 VIRGINIA TECH  8-4 0.63414      
27 W MICH  8-3 0.62490      
28 AIR FORCE  7-4 0.62320      
29 RICE  9-3 0.61965      
30 CALIFORNIA  8-4 0.61336      
31 MISSISSIPPI 7-4 0.61135      
32 N CAROLINA  7-4 0.60785      
33 NORTHWESTERN  8-3 0.59836      
34 IOWA  7-4 0.59792      
35 W VIRGINIA  7-4 0.59417      
36 KANSAS  6-5 0.59270      
37 NAVY  7-4 0.58717      
38 E CAROLINA  8-4 0.58323      
39 BUFFALO  8-5 0.57253      
40 RUTGERS  6-5 0.56423      
41 CENT MICH  7-4 0.55996      
42 TULSA  8-3 0.55967      
43 WAKE FOREST  7-5 0.55746      
44 MIAMI  6-5 0.55645      
45 S CAROLINA  6-5 0.55113      
46 WISCONSIN  6-5 0.55088      
47 CLEMSON  5-5 0.54694      
48 TROY ST  7-4 0.54608      
49 MARYLAND  6-5 0.54515      
50 LSU  6-5 0.54430      
51 NEVADA  6-5 0.53905      
52 S FLORIDA  6-5 0.53616      
53 CONNECTICUT  6-5 0.53561      
54 FRESNO ST  7-5 0.51518      
55 MINNESOTA  6-5 0.51634      
56 HAWAII  6-6 0.50952      
57 HOUSTON  6-5 0.50590      
58 NC ST  5-6 0.50660      
59 COLORADO ST  5-6 0.50367      
60 VANDERBILT  6-6 0.50172      
61 ARIZONA  7-5 0.49180      
62 LA TECH  6-5 0.47976      
63 NOTRE DAME  6-6 0.47850      
64 VIRGINIA  4-7 0.47450      
65 ARKANSAS  4-7 0.47209      
66 SOUTHERN MISS  6-6 0.46964      
67 ILLINOIS  4-7 0.46634      
68 KENTUCKY  5-6 0.46148      
69 FLORIDA ATL 6-6 0.45055      
70 STANFORD  5-7 0.44747      
71 BOWLING GREEN  6-6 0.44733      
72 TENNESSEE  5-7 0.44291      
73 NORTHERN ILL  5-6 0.44272      
74 COLORADO  4-7 0.43383      
75 ARKANSAS ST  5-6 0.43379      
76 UTEP  5-7 0.43187      
77 AKRON  5-6 0.42929      
78 SAN JOSE ST  5-6 0.42816      
79 UNLV  5-7 0.42212      
80 UL LAFAYETTE  6-6 0.42110      
81 AUBURN  4-7 0.42031      
82 LOUISVILLE  4-7 0.41962      
83 PURDUE  3-8 0.41024      
84 TEMPLE  5-7 0.40810      
85 NEW MEXICO  4-8 0.40161      
86 ARIZONA ST  4-7 0.39796      
87 MEMPHIS  5-6 0.39699      
88 KANSAS ST  4-7 0.39295      
89 DUKE  3-8 0.39249      
90 MARSHALL  3-8 0.38974      
91 UCLA  4-8 0.38856      
92 TEXAS A&M  4-8 0.38459      
93 BAYLOR  3-8 0.38445      
94 MICHIGAN  3-9 0.36575      
95 UTAH ST  3-9 0.36502      
96 MISS ST  3-8 0.36400      
97 FLORIDA INTL 4-7 0.35519      
98 MTSU  5-7 0.35340      
99 SYRACUSE  2-9 0.35322      
100 WYOMING  3-8 0.34993      
101 ARMY  3-8 0.32471      
102 INDIANA  2-9 0.32200      
103 CENT FLORIDA  3-6 0.31802      
104 UAB  3-8 0.31376      
105 E MICH  2-9 0.31186      
106 KENT  3-8 0.31066      
107 TOLEDO  3-9 0.30019      
108 UL MONROE  3-8 0.28983      
109 SAN DIEGO ST  2-9 0.28945      
110 OHIO U  2-8 0.28589      
111 NEW MEX ST  2-9 0.28149      
112 TULANE  2-10 0.25131      
113 W KENTUCKY 1-10 0.21874      
114 MIAMI (OH)  1-10 0.21468      
115 WASHINGTON ST  1-11 0.21416      
116 IOWA ST  1-10 0.20917      
117 WASHINGTON  0-12 0.20651      
118 SMU  0-11 0.19835      
119 NORTH TEXAS  1-10 0.19474      
120 W KENTUCKY 0-10 0.17342