Marshall win chains

Win Chains for Marshall
10:24pm 12 Jan 2015

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

Win Chains for Marshall 10:24pm 12 Jan 2015

Win Chains for Marshall
10:24pm 12 Jan 2015