Minnesota win chains

Win Chains for Minnesota
10:24pm 12 Jan 2015

PL is the length of the shortest path from Minnesota to the ending team
#P is the total number of paths of that length
W? is
• W if the weighted win chain is stronger than that from the ending team to Minnesota
• L if the ending team has a stronger win chain to Minnesota
• T if the weighted win chains have the same value in each direction
[PL #P] is the length and number of the shortest paths back to *

PL	#P	W?	*Win Chains from Minnesota() to...**
3	3	W	∗→Michigan→Penn State→Boston College [3 1]
			∗→Northwestern→Penn State→Boston College
			∗→Iowa→Pittsburgh→Boston College
5	2	L	∗→Northwestern→Notre Dame→North Carolina→Georgia Tech→Clemson [4 4]
			∗→Nebraska→Miami-Florida→Duke→Georgia Tech→Clemson
7	4	L	∗→San Jose State→Wyoming→Air Force→Boise State→Arizona→Oregon→Florida State [4 7]
			∗→Michigan→Penn State→Boston College→Southern California→Arizona→Oregon→Florida State
			∗→Northwestern→Penn State→Boston College→Southern California→Arizona→Oregon→Florida State
			∗→Iowa→Pittsburgh→Boston College→Southern California→Arizona→Oregon→Florida State
5	3	L	∗→Northwestern→Notre Dame→North Carolina→Virginia→Louisville [4 4]
			∗→Iowa→Pittsburgh→Virginia Tech→Virginia→Louisville
			∗→Nebraska→Miami-Florida→Duke→Virginia→Louisville
4	3	W	∗→Michigan→Penn State→Boston College→North Carolina State [4 2]
			∗→Northwestern→Penn State→Boston College→North Carolina State
			∗→Iowa→Pittsburgh→Boston College→North Carolina State
3	2	W	∗→Northwestern→Notre Dame→Syracuse [4 2]
			∗→Iowa→Pittsburgh→Syracuse
4	4	L	∗→Michigan→Appalachian State→UL Monroe→Wake Forest [3 1]
			∗→Northwestern→Penn State→Boston College→Wake Forest
			∗→Iowa→Pittsburgh→Boston College→Wake Forest
			∗→Nebraska→Miami-Florida→Duke→Wake Forest
3	1	W	∗→Nebraska→Miami-Florida→Duke [4 3]
4	2	L	∗→Northwestern→Notre Dame→North Carolina→Georgia Tech [3 2]
			∗→Nebraska→Miami-Florida→Duke→Georgia Tech
2	1	W	∗→Nebraska→Miami-Florida [3 1]
PL	#P	W?	*Win Chains from Minnesota() to...**
3	2	W	∗→Northwestern→Notre Dame→North Carolina [4 2]
			∗→Nebraska→Miami-Florida→North Carolina
2	1	W	∗→Iowa→Pittsburgh [3 1]
4	3	W	∗→Northwestern→Notre Dame→North Carolina→Virginia [4 2]
			∗→Iowa→Pittsburgh→Virginia Tech→Virginia
			∗→Nebraska→Miami-Florida→Duke→Virginia
3	2	L	∗→Iowa→Pittsburgh→Virginia Tech [2 1]
			∗→Nebraska→Miami-Florida→Virginia Tech
2	2	W	∗→Michigan→Indiana [2 1]
			∗→Iowa→Indiana
3	2	T	∗→Northwestern→Wisconsin→Maryland [3 2]
			∗→Nebraska→Rutgers→Maryland
1	1	W	∗→Michigan [3 2]
5	2	L	∗→Iowa→Pittsburgh→Virginia Tech→Ohio State→Michigan State [3 4]
			∗→Nebraska→Miami-Florida→Virginia Tech→Ohio State→Michigan State
4	2	L	∗→Iowa→Pittsburgh→Virginia Tech→Ohio State [1 1]
			∗→Nebraska→Miami-Florida→Virginia Tech→Ohio State
2	2	W	∗→Michigan→Penn State [3 1]
			∗→Northwestern→Penn State
2	1	W	∗→Nebraska→Rutgers [3 1]
2	3	L	∗→Purdue→Illinois [1 1]
			∗→Iowa→Illinois
			∗→Nebraska→Illinois
1	1	W	∗→Iowa [2 1]
1	1	W	∗→Nebraska [2 1]
PL	#P	W?	*Win Chains from Minnesota() to...**
1	1	W	∗→Northwestern [2 1]
1	1	W	∗→Purdue [2 1]
2	1	L	∗→Northwestern→Wisconsin [1 1]
6	4	L	∗→Michigan→Indiana→Missouri→Texas A&M→West Virginia→Baylor [2 1]
			∗→Northwestern→Wisconsin→Auburn→Kansas State→West Virginia→Baylor
			∗→Iowa→Pittsburgh→Virginia Tech→Ohio State→Michigan State→Baylor
			∗→Nebraska→Miami-Florida→Virginia Tech→Ohio State→Michigan State→Baylor
5	2	L	∗→Northwestern→Wisconsin→Auburn→Kansas State→Iowa State [3 1]
			∗→Nebraska→Miami-Florida→Duke→Kansas→Iowa State
4	1	L	∗→Nebraska→Miami-Florida→Duke→Kansas [4 2]
4	1	L	∗→Northwestern→Wisconsin→Auburn→Kansas State [4 4]
5	1	L	∗→Northwestern→Wisconsin→Auburn→Kansas State→Oklahoma [3 1]
5	1	L	∗→Northwestern→Wisconsin→Auburn→Kansas State→Oklahoma State [3 1]
5	4	L	∗→Michigan→Penn State→UCF→BYU→Texas [4 3]
			∗→Northwestern→Penn State→UCF→BYU→Texas
			∗→Iowa→Indiana→Missouri→Arkansas→Texas
			∗→Nebraska→Fresno State→Nevada→BYU→Texas
7	4	L	∗→Michigan→Indiana→Missouri→Texas A&M→West Virginia→Baylor→TCU [1 1]
			∗→Northwestern→Wisconsin→Auburn→Kansas State→West Virginia→Baylor→TCU
			∗→Iowa→Pittsburgh→Virginia Tech→Ohio State→Michigan State→Baylor→TCU
			∗→Nebraska→Miami-Florida→Virginia Tech→Ohio State→Michigan State→Baylor→TCU
5	3	L	∗→Michigan→Indiana→Missouri→Arkansas→Texas Tech [4 1]
			∗→Northwestern→Wisconsin→Auburn→Arkansas→Texas Tech
			∗→Iowa→Indiana→Missouri→Arkansas→Texas Tech
5	3	L	∗→Michigan→Indiana→Missouri→Texas A&M→West Virginia [3 1]
PL	#P	W?	*Win Chains from Minnesota() to...**
			∗→Northwestern→Wisconsin→Auburn→Kansas State→West Virginia
			∗→Iowa→Indiana→Missouri→Texas A&M→West Virginia
2	1	W	∗→Northwestern→Notre Dame [3 2]
4	1	L	∗→Northwestern→Notre Dame→Stanford→California [3 1]
6	4	L	∗→San Jose State→Wyoming→Air Force→Boise State→Arizona→Oregon [3 1]
			∗→Michigan→Penn State→Boston College→Southern California→Arizona→Oregon
			∗→Northwestern→Penn State→Boston College→Southern California→Arizona→Oregon
			∗→Iowa→Pittsburgh→Boston College→Southern California→Arizona→Oregon
4	2	W	∗→Northwestern→Notre Dame→Stanford→Oregon State [4 1]
			∗→Nebraska→Rutgers→Washington State→Oregon State
3	1	T	∗→Northwestern→Notre Dame→Stanford [3 1]
4	1	L	∗→Northwestern→Notre Dame→Stanford→Washington [2 1]
3	1	W	∗→Nebraska→Rutgers→Washington State [5 2]
5	4	L	∗→San Jose State→Wyoming→Air Force→Boise State→Arizona [3 1]
			∗→Michigan→Penn State→Boston College→Southern California→Arizona
			∗→Northwestern→Penn State→Boston College→Southern California→Arizona
			∗→Iowa→Pittsburgh→Boston College→Southern California→Arizona
5	2	L	∗→Northwestern→Notre Dame→Stanford→Oregon State→Arizona State [3 1]
			∗→Nebraska→Rutgers→Washington State→Oregon State→Arizona State
5	5	W	∗→San Jose State→Wyoming→Air Force→Colorado State→Colorado [6 1]
			∗→Michigan→Penn State→Boston College→Southern California→Colorado
			∗→Northwestern→Penn State→Boston College→Southern California→Colorado
			∗→Iowa→Pittsburgh→Boston College→Southern California→Colorado
			∗→Nebraska→Rutgers→Washington State→Utah→Colorado
4	3	L	∗→Michigan→Penn State→Boston College→Southern California [3 1]
PL	#P	W?	*Win Chains from Minnesota() to...**
			∗→Northwestern→Penn State→Boston College→Southern California
			∗→Iowa→Pittsburgh→Boston College→Southern California
4	1	L	∗→Northwestern→Notre Dame→Stanford→UCLA [3 1]
4	1	L	∗→Nebraska→Rutgers→Washington State→Utah [4 4]
4	3	L	∗→Michigan→Indiana→Missouri→Florida [3 1]
			∗→Northwestern→Notre Dame→LSU→Florida
			∗→Iowa→Indiana→Missouri→Florida
5	4	L	∗→Michigan→Indiana→Missouri→South Carolina→Georgia [2 1]
			∗→Northwestern→Wisconsin→Auburn→South Carolina→Georgia
			∗→Iowa→Indiana→Missouri→South Carolina→Georgia
			∗→Nebraska→Miami-Florida→Duke→Georgia Tech→Georgia
4	3	W	∗→Michigan→Indiana→Missouri→Kentucky [4 1]
			∗→Northwestern→Notre Dame→LSU→Kentucky
			∗→Iowa→Indiana→Missouri→Kentucky
3	2	L	∗→Michigan→Indiana→Missouri [1 1]
			∗→Iowa→Indiana→Missouri
4	3	L	∗→Michigan→Indiana→Missouri→South Carolina [3 1]
			∗→Northwestern→Wisconsin→Auburn→South Carolina
			∗→Iowa→Indiana→Missouri→South Carolina
4	2	L	∗→Michigan→Indiana→Missouri→Tennessee [3 1]
			∗→Iowa→Indiana→Missouri→Tennessee
4	3	W	∗→Michigan→Penn State→Temple→Vanderbilt [4 1]
			∗→Northwestern→Penn State→Temple→Vanderbilt
			∗→Iowa→Indiana→Missouri→Vanderbilt
5	3	L	∗→Northwestern→Wisconsin→Auburn→Mississippi→Alabama [2 1]
PL	#P	W?	*Win Chains from Minnesota() to...**
			∗→Iowa→Pittsburgh→Virginia Tech→Ohio State→Alabama
			∗→Nebraska→Miami-Florida→Virginia Tech→Ohio State→Alabama
4	3	L	∗→Michigan→Indiana→Missouri→Arkansas [3 1]
			∗→Northwestern→Wisconsin→Auburn→Arkansas
			∗→Iowa→Indiana→Missouri→Arkansas
3	1	L	∗→Northwestern→Wisconsin→Auburn [3 2]
3	1	L	∗→Northwestern→Notre Dame→LSU [2 1]
4	1	L	∗→Northwestern→Wisconsin→Auburn→Mississippi [3 1]
5	2	L	∗→Northwestern→Wisconsin→Auburn→Mississippi→Mississippi State [3 1]
			∗→Nebraska→Miami-Florida→Duke→Georgia Tech→Mississippi State
4	3	L	∗→Michigan→Indiana→Missouri→Texas A&M [4 4]
			∗→Northwestern→Notre Dame→LSU→Texas A&M
			∗→Iowa→Indiana→Missouri→Texas A&M
3	2	W	∗→Michigan→Penn State→UCF [4 1]
			∗→Northwestern→Penn State→UCF
3	1	W	∗→Nebraska→Miami-Florida→Cincinnati [4 1]
4	4	W	∗→Middle Tenn State→Western Kentucky→Army→Connecticut [5 1]
			∗→Michigan→Penn State→Temple→Connecticut
			∗→Northwestern→Penn State→Temple→Connecticut
			∗→Nebraska→Miami-Florida→Cincinnati→Connecticut
4	3	L	∗→Michigan→Penn State→UCF→East Carolina [3 1]
			∗→Northwestern→Penn State→UCF→East Carolina
			∗→Nebraska→Miami-Florida→Cincinnati→East Carolina
4	4	W	∗→Middle Tenn State→Western Kentucky→Texas-San Antonio→Houston [4 1]
			∗→Michigan→Penn State→UCF→Houston
PL	#P	W?	*Win Chains from Minnesota() to...**
			∗→Northwestern→Penn State→UCF→Houston
			∗→Nebraska→Florida Atlantic→Texas-San Antonio→Houston
5	4	T	∗→Middle Tenn State→Western Kentucky→Texas-San Antonio→Houston→Memphis [5 4]
			∗→Michigan→Penn State→UCF→Houston→Memphis
			∗→Northwestern→Penn State→UCF→Houston→Memphis
			∗→Nebraska→Florida Atlantic→Texas-San Antonio→Houston→Memphis
3	1	W	∗→Northwestern→Wisconsin→South Florida [6 1]
4	5	W	∗→Middle Tenn State→Southern Miss→North Texas→SMU [6 1]
			∗→Michigan→Penn State→UCF→SMU
			∗→Northwestern→Penn State→UCF→SMU
			∗→Iowa→Indiana→North Texas→SMU
			∗→Nebraska→Florida Atlantic→Tulsa→SMU
3	2	W	∗→Michigan→Penn State→Temple [4 1]
			∗→Northwestern→Penn State→Temple
3	1	W	∗→Nebraska→Rutgers→Tulane [5 1]
3	2	W	∗→Middle Tenn State→Florida Atlantic→Tulsa [6 1]
			∗→Nebraska→Florida Atlantic→Tulsa
2	1	W	∗→Middle Tenn State→UAB [5 1]
2	2	W	∗→Middle Tenn State→Florida Atlantic [5 1]
			∗→Nebraska→Florida Atlantic
3	2	W	∗→Middle Tenn State→Old Dominion→Florida Intl [5 1]
			∗→Iowa→Pittsburgh→Florida Intl
3	1	T	∗→Middle Tenn State→Western Kentucky→Marshall [3 1]
1	1	W	∗→Middle Tenn State [4 1]
2	1	W	∗→Middle Tenn State→Old Dominion [3 1]
PL	#P	W?	*Win Chains from Minnesota() to...**
2	1	W	∗→Middle Tenn State→Western Kentucky [4 4]
3	1	L	∗→Middle Tenn State→Old Dominion→Louisiana Tech [2 1]
3	3	W	∗→Middle Tenn State→Southern Miss→North Texas [6 2]
			∗→Michigan→Indiana→North Texas
			∗→Iowa→Indiana→North Texas
2	1	W	∗→Middle Tenn State→Southern Miss [6 1]
3	2	W	∗→Middle Tenn State→Old Dominion→Rice [5 1]
			∗→Northwestern→Notre Dame→Rice
3	2	W	∗→Middle Tenn State→Western Kentucky→Texas-San Antonio [5 1]
			∗→Nebraska→Florida Atlantic→Texas-San Antonio
3	1	W	∗→Middle Tenn State→Western Kentucky→UTEP [4 1]
3	1	W	∗→Middle Tenn State→Western Kentucky→Army [5 1]
4	3	W	∗→Michigan→Penn State→UCF→BYU [4 1]
			∗→Northwestern→Penn State→UCF→BYU
			∗→Nebraska→Fresno State→Nevada→BYU
3	3	W	∗→Middle Tenn State→Western Kentucky→Navy [5 1]
			∗→Northwestern→Notre Dame→Navy
			∗→Nebraska→Rutgers→Navy
3	3	W	∗→Michigan→Penn State→Akron [4 1]
			∗→Northwestern→Penn State→Akron
			∗→Iowa→Ball State→Akron
3	4	W	∗→Middle Tenn State→Western Kentucky→Bowling Green [3 1]
			∗→Northwestern→Wisconsin→Bowling Green
			∗→Purdue→Western Michigan→Bowling Green
			∗→Iowa→Ball State→Bowling Green
PL	#P	W?	*Win Chains from Minnesota() to...**
4	4	W	∗→Middle Tenn State→Western Kentucky→Bowling Green→Buffalo [5 1]
			∗→Northwestern→Wisconsin→Bowling Green→Buffalo
			∗→Purdue→Western Michigan→Bowling Green→Buffalo
			∗→Iowa→Ball State→Central Michigan→Buffalo
3	1	W	∗→Michigan→Miami-Ohio→Kent State [5 1]
3	2	W	∗→Michigan→Miami-Ohio→Massachusetts [5 1]
			∗→Northwestern→Penn State→Massachusetts
2	1	W	∗→Michigan→Miami-Ohio [6 2]
3	1	W	∗→Purdue→Western Michigan→Ohio [5 1]
2	1	W	∗→Iowa→Ball State [4 2]
3	3	W	∗→Middle Tenn State→Western Kentucky→Central Michigan [3 1]
			∗→Purdue→Western Michigan→Central Michigan
			∗→Iowa→Ball State→Central Michigan
3	3	W	∗→Middle Tenn State→Old Dominion→Eastern Michigan [6 1]
			∗→Purdue→Western Michigan→Eastern Michigan
			∗→Iowa→Ball State→Eastern Michigan
4	3	L	∗→Middle Tenn State→Western Kentucky→Marshall→Northern Illinois [3 1]
			∗→Purdue→Western Michigan→Central Michigan→Northern Illinois
			∗→Iowa→Ball State→Central Michigan→Northern Illinois
4	3	W	∗→Michigan→Indiana→Missouri→Toledo [4 2]
			∗→Iowa→Indiana→Missouri→Toledo
			∗→Nebraska→Miami-Florida→Cincinnati→Toledo
2	1	W	∗→Purdue→Western Michigan [4 2]
3	1	W	∗→San Jose State→Wyoming→Air Force [5 3]
4	1	T	∗→San Jose State→Wyoming→Air Force→Boise State [4 1]
PL	#P	W?	*Win Chains from Minnesota() to...**
4	1	T	∗→San Jose State→Wyoming→Air Force→Colorado State [4 1]
3	1	W	∗→Nebraska→Fresno State→New Mexico [6 1]
4	2	W	∗→Michigan→Appalachian State→Arkansas State→Utah State [4 1]
			∗→Nebraska→Miami-Florida→Arkansas State→Utah State
2	1	W	∗→San Jose State→Wyoming [6 2]
2	1	W	∗→Nebraska→Fresno State [6 1]
3	1	W	∗→Nebraska→Fresno State→Hawaii [7 1]
3	1	W	∗→Nebraska→Fresno State→Nevada [5 1]
3	1	W	∗→Nebraska→Fresno State→San Diego State [6 1]
1	1	W	∗→San Jose State [7 1]
2	1	W	∗→San Jose State→UNLV [7 1]
2	1	W	∗→Michigan→Appalachian State [5 1]
3	2	W	∗→Michigan→Appalachian State→Arkansas State [5 2]
			∗→Nebraska→Miami-Florida→Arkansas State
4	3	W	∗→Middle Tenn State→Western Kentucky→Navy→Georgia Southern [5 1]
			∗→Northwestern→Notre Dame→Navy→Georgia Southern
			∗→Nebraska→Rutgers→Navy→Georgia Southern
3	1	W	∗→Michigan→Appalachian State→Georgia State [0 0]
3	2	W	∗→Michigan→Appalachian State→Idaho [0 0]
			∗→Purdue→Western Michigan→Idaho
4	6	W	∗→Middle Tenn State→Western Kentucky→UTEP→New Mexico State [0 0]
			∗→Michigan→Appalachian State→Troy→New Mexico State
			∗→Northwestern→Notre Dame→LSU→New Mexico State
			∗→Purdue→Western Michigan→Idaho→New Mexico State
			∗→Iowa→Illinois→Texas State→New Mexico State
PL	#P	W?	*Win Chains from Minnesota() to...**
			∗→Nebraska→Fresno State→New Mexico→New Mexico State
4	6	W	∗→Middle Tenn State→Western Kentucky→Bowling Green→South Alabama [6 3]
			∗→Michigan→Appalachian State→Arkansas State→South Alabama
			∗→Northwestern→Wisconsin→Bowling Green→South Alabama
			∗→Purdue→Western Michigan→Bowling Green→South Alabama
			∗→Iowa→Ball State→Bowling Green→South Alabama
			∗→Nebraska→Miami-Florida→Arkansas State→South Alabama
3	3	W	∗→Purdue→Illinois→Texas State [5 1]
			∗→Iowa→Illinois→Texas State
			∗→Nebraska→Illinois→Texas State
3	2	W	∗→Middle Tenn State→UAB→Troy [0 0]
			∗→Michigan→Appalachian State→Troy
3	1	W	∗→Michigan→Appalachian State→UL Lafayette [5 1]
3	1	W	∗→Michigan→Appalachian State→UL Monroe [4 1]

Win Chains for Minnesota 10:24pm 12 Jan 2015

Win Chains for Minnesota
10:24pm 12 Jan 2015