Toledo win chains

Win Chains for Toledo
1:47pm (US Mountain) 13 Jan 2017

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

Win Chains for Toledo 1:47pm (US Mountain) 13 Jan 2017

Win Chains for Toledo
1:47pm (US Mountain) 13 Jan 2017