Toledo win chains

Win Chains for Toledo
10:24pm 12 Jan 2015

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

Win Chains for Toledo 10:24pm 12 Jan 2015

Win Chains for Toledo
10:24pm 12 Jan 2015