Troy win chains

Win Chains for Troy
9:39pm (US Mountain) 8 Jan 2024

PL is the length of the shortest path from Troy 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 Troy
• L if the ending team has a stronger win chain to Troy
• 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 Troy() to...**
4	3	L	∗→Georgia State→Marshall→Virginia Tech→Boston College [3 1]
			∗→South Alabama→Marshall→Virginia Tech→Boston College
			∗→Appalachian State→Marshall→Virginia Tech→Boston College
5	2	L	∗→South Alabama→Oklahoma State→Kansas State→North Carolina State→Clemson [3 2]
			∗→Appalachian State→James Madison→Virginia→Duke→Clemson
7	1	L	∗→South Alabama→Oklahoma State→Oklahoma→Texas→Alabama→Georgia→Florida State [2 1]
5	5	L	∗→Western Kentucky→South Florida→Syracuse→Pittsburgh→Louisville [2 1]
			∗→Georgia State→Marshall→Virginia Tech→Pittsburgh→Louisville
			∗→Texas State→Baylor→Cincinnati→Pittsburgh→Louisville
			∗→South Alabama→Oklahoma State→West Virginia→Pittsburgh→Louisville
			∗→Appalachian State→Marshall→Virginia Tech→Pittsburgh→Louisville
4	1	L	∗→South Alabama→Oklahoma State→Kansas State→North Carolina State [3 2]
3	1	W	∗→Western Kentucky→South Florida→Syracuse [4 2]
4	4	W	∗→Western Kentucky→South Florida→Syracuse→Wake Forest [4 2]
			∗→Georgia State→Marshall→Virginia Tech→Wake Forest
			∗→South Alabama→Marshall→Virginia Tech→Wake Forest
			∗→Appalachian State→Marshall→Virginia Tech→Wake Forest
4	1	L	∗→Appalachian State→James Madison→Virginia→Duke [1 1]
4	1	L	∗→Appalachian State→Miami-Ohio→Bowling Green→Georgia Tech [3 2]
5	2	L	∗→South Alabama→Oklahoma State→Kansas State→North Carolina State→Miami-Florida [3 1]
			∗→Appalachian State→James Madison→Virginia→North Carolina→Miami-Florida
4	2	L	∗→South Alabama→Oklahoma State→West Virginia→North Carolina [2 1]
			∗→Appalachian State→James Madison→Virginia→North Carolina
4	5	L	∗→Western Kentucky→South Florida→Syracuse→Pittsburgh [3 1]
			∗→Georgia State→Marshall→Virginia Tech→Pittsburgh
PL	#P	W?	*Win Chains from Troy() to...**
			∗→Texas State→Baylor→Cincinnati→Pittsburgh
			∗→South Alabama→Oklahoma State→West Virginia→Pittsburgh
			∗→Appalachian State→Marshall→Virginia Tech→Pittsburgh
3	1	L	∗→Appalachian State→James Madison→Virginia [2 1]
3	3	W	∗→Georgia State→Marshall→Virginia Tech [3 1]
			∗→South Alabama→Marshall→Virginia Tech
			∗→Appalachian State→Marshall→Virginia Tech
5	2	W	∗→Western Kentucky→South Florida→Syracuse→Purdue→Indiana [6 1]
			∗→South Alabama→Oklahoma State→Kansas→Illinois→Indiana
5	1	L	∗→South Alabama→Oklahoma State→Kansas→Illinois→Maryland [3 1]
0	0	L	Michigan [4 5]
6	3	L	∗→Western Kentucky→South Florida→Syracuse→Purdue→Minnesota→Michigan State [5 1]
			∗→South Alabama→Oklahoma State→Kansas→Illinois→Maryland→Michigan State
			∗→Appalachian State→James Madison→Virginia→North Carolina→Minnesota→Michigan State
8	1	L	∗→South Alabama→Oklahoma State→Oklahoma→Texas→Alabama→LSU→Missouri→Ohio State [3 1]
7	1	L	∗→South Alabama→Oklahoma State→Oklahoma→Texas→Alabama→Mississippi→Penn State [4 3]
6	1	L	∗→South Alabama→Oklahoma State→Arizona State→Washington State→Wisconsin→Rutgers [4 2]
4	1	T	∗→South Alabama→Oklahoma State→Kansas→Illinois [4 1]
6	3	L	∗→Western Kentucky→South Florida→Syracuse→Purdue→Minnesota→Iowa [3 1]
			∗→South Alabama→Oklahoma State→Kansas→Illinois→Minnesota→Iowa
			∗→Appalachian State→James Madison→Virginia→North Carolina→Minnesota→Iowa
5	3	L	∗→Western Kentucky→South Florida→Syracuse→Purdue→Minnesota [4 1]
			∗→South Alabama→Oklahoma State→Kansas→Illinois→Minnesota
			∗→Appalachian State→James Madison→Virginia→North Carolina→Minnesota
6	3	L	∗→Western Kentucky→South Florida→Syracuse→Purdue→Minnesota→Nebraska [5 4]
PL	#P	W?	*Win Chains from Troy() to...**
			∗→South Alabama→Oklahoma State→Arizona State→Washington State→Wisconsin→Nebraska
			∗→Appalachian State→James Madison→Virginia→North Carolina→Minnesota→Nebraska
5	1	L	∗→Appalachian State→James Madison→Virginia→Duke→Northwestern [4 1]
4	1	T	∗→Western Kentucky→South Florida→Syracuse→Purdue [4 1]
5	1	L	∗→South Alabama→Oklahoma State→Arizona State→Washington State→Wisconsin [5 5]
2	1	W	∗→Texas State→Baylor [4 1]
3	1	W	∗→South Alabama→Oklahoma State→BYU [5 2]
3	1	T	∗→Texas State→Baylor→UCF [3 1]
3	3	W	∗→Texas State→Baylor→Cincinnati [4 1]
			∗→South Alabama→Oklahoma State→Cincinnati
			∗→Appalachian State→Miami-Ohio→Cincinnati
3	2	W	∗→Texas State→Rice→Houston [4 1]
			∗→South Alabama→Oklahoma State→Houston
4	2	L	∗→South Alabama→Oklahoma State→Kansas→Iowa State [2 1]
			∗→Appalachian State→Miami-Ohio→Ohio→Iowa State
3	1	T	∗→South Alabama→Oklahoma State→Kansas [3 1]
3	1	L	∗→South Alabama→Oklahoma State→Kansas State [1 1]
3	1	L	∗→South Alabama→Oklahoma State→Oklahoma [3 2]
2	1	T	∗→South Alabama→Oklahoma State [2 1]
4	1	L	∗→South Alabama→Oklahoma State→Oklahoma→Texas [2 1]
4	1	W	∗→South Alabama→Oklahoma State→Kansas State→TCU [5 3]
4	2	T	∗→Army→Air Force→Wyoming→Texas Tech [4 2]
			∗→South Alabama→Oklahoma State→Kansas State→Texas Tech
3	1	T	∗→South Alabama→Oklahoma State→West Virginia [3 1]
6	5	L	∗→Western Kentucky→South Florida→Syracuse→Pittsburgh→Louisville→Notre Dame [2 1]
PL	#P	W?	*Win Chains from Troy() to...**
			∗→Georgia State→Marshall→Virginia Tech→Pittsburgh→Louisville→Notre Dame
			∗→Texas State→Baylor→Cincinnati→Pittsburgh→Louisville→Notre Dame
			∗→South Alabama→Oklahoma State→Kansas State→North Carolina State→Clemson→Notre Dame
			∗→Appalachian State→Marshall→Virginia Tech→Pittsburgh→Louisville→Notre Dame
5	3	W	∗→Arkansas State→Massachusetts→New Mexico State→Auburn→California [5 2]
			∗→Army→Air Force→Wyoming→Texas Tech→California
			∗→South Alabama→Oklahoma State→Kansas State→Texas Tech→California
0	0	L	Oregon [4 2]
5	1	L	∗→South Alabama→Oklahoma State→Arizona State→Washington State→Oregon State [5 5]
5	1	L	∗→South Alabama→Oklahoma State→Arizona State→UCLA→Stanford [4 1]
0	0	L	Washington [3 1]
4	1	W	∗→South Alabama→Oklahoma State→Arizona State→Washington State [5 1]
5	1	L	∗→South Alabama→Oklahoma State→Texas A&M→Mississippi State→Arizona [4 1]
3	1	W	∗→South Alabama→Oklahoma State→Arizona State [5 1]
5	1	T	∗→South Alabama→Oklahoma State→Arizona State→Washington State→Colorado [5 1]
5	1	L	∗→South Alabama→Oklahoma State→Arizona State→UCLA→Southern California [3 1]
4	1	L	∗→South Alabama→Oklahoma State→Arizona State→UCLA [4 3]
6	2	L	∗→South Alabama→Oklahoma State→Arizona State→Washington State→Oregon State→Utah [4 1]
			∗→Appalachian State→James Madison→Virginia→Duke→Northwestern→Utah
5	1	L	∗→South Alabama→Oklahoma State→BYU→Arkansas→Florida [4 1]
6	1	L	∗→South Alabama→Oklahoma State→Oklahoma→Texas→Alabama→Georgia [3 2]
5	1	L	∗→South Alabama→Oklahoma State→Texas A&M→South Carolina→Kentucky [3 1]
7	1	L	∗→South Alabama→Oklahoma State→Oklahoma→Texas→Alabama→LSU→Missouri [2 1]
4	1	T	∗→South Alabama→Oklahoma State→Texas A&M→South Carolina [4 1]
6	1	L	∗→South Alabama→Oklahoma State→Oklahoma→Texas→Alabama→Tennessee [3 1]
PL	#P	W?	*Win Chains from Troy() to...**
5	6	L	∗→Western Kentucky→South Florida→Syracuse→Wake Forest→Vanderbilt [4 1]
			∗→Georgia State→Coastal Carolina→San Jose State→UNLV→Vanderbilt
			∗→Arkansas State→Massachusetts→New Mexico State→Auburn→Vanderbilt
			∗→Army→Air Force→San Jose State→UNLV→Vanderbilt
			∗→South Alabama→Oklahoma State→Kansas→UNLV→Vanderbilt
			∗→Appalachian State→Marshall→Virginia Tech→Wake Forest→Vanderbilt
5	1	L	∗→South Alabama→Oklahoma State→Oklahoma→Texas→Alabama [4 4]
4	1	W	∗→South Alabama→Oklahoma State→BYU→Arkansas [5 1]
4	2	W	∗→Arkansas State→Massachusetts→New Mexico State→Auburn [5 2]
			∗→South Alabama→Oklahoma State→Texas A&M→Auburn
6	1	L	∗→South Alabama→Oklahoma State→Oklahoma→Texas→Alabama→LSU [3 1]
6	1	L	∗→South Alabama→Oklahoma State→Oklahoma→Texas→Alabama→Mississippi [4 2]
4	1	W	∗→South Alabama→Oklahoma State→Texas A&M→Mississippi State [5 1]
3	1	W	∗→South Alabama→Oklahoma State→Texas A&M [5 3]
2	1	W	∗→UL Lafayette→UAB [6 1]
2	1	W	∗→Appalachian State→East Carolina [7 1]
3	4	W	∗→Army→Texas-San Antonio→Florida Atlantic [6 2]
			∗→Texas State→Rice→Florida Atlantic
			∗→UL Lafayette→UAB→Florida Atlantic
			∗→Appalachian State→East Carolina→Florida Atlantic
5	3	L	∗→Georgia State→Marshall→Virginia Tech→Tulane→Memphis [3 1]
			∗→South Alabama→Oklahoma State→Oklahoma→SMU→Memphis
			∗→Appalachian State→Marshall→Virginia Tech→Tulane→Memphis
2	1	W	∗→Army→Navy [7 3]
3	2	W	∗→Western Kentucky→Florida Intl→North Texas [6 1]
PL	#P	W?	*Win Chains from Troy() to...**
			∗→Army→Texas-San Antonio→North Texas
2	1	W	∗→Texas State→Rice [5 1]
2	1	W	∗→Western Kentucky→South Florida [5 1]
4	1	T	∗→South Alabama→Oklahoma State→Oklahoma→SMU [4 1]
3	3	W	∗→Western Kentucky→South Florida→Temple [8 1]
			∗→Army→Texas-San Antonio→Temple
			∗→UL Lafayette→UAB→Temple
2	1	W	∗→Army→Texas-San Antonio [5 2]
4	3	W	∗→Georgia State→Marshall→Virginia Tech→Tulane [4 2]
			∗→South Alabama→Marshall→Virginia Tech→Tulane
			∗→Appalachian State→Marshall→Virginia Tech→Tulane
3	2	W	∗→Georgia State→UNC-Charlotte→Tulsa [5 1]
			∗→Texas State→Rice→Tulsa
2	1	W	∗→Georgia State→UNC-Charlotte [6 1]
2	1	W	∗→Western Kentucky→Florida Intl [6 1]
3	2	W	∗→Georgia State→Coastal Carolina→Jacksonville State [5 2]
			∗→Army→Coastal Carolina→Jacksonville State
0	0	L	Liberty [4 1]
2	1	W	∗→Western Kentucky→Louisiana Tech [7 1]
2	1	W	∗→Western Kentucky→Middle Tenn State [7 1]
3	1	W	∗→Arkansas State→Massachusetts→New Mexico State [5 2]
2	1	W	∗→Western Kentucky→Sam Houston [8 2]
2	1	W	∗→Western Kentucky→UTEP [7 1]
1	1	W	∗→Western Kentucky [4 1]
1	1	W	∗→Army [3 1]
PL	#P	W?	*Win Chains from Troy() to...**
2	1	W	∗→Georgia State→Connecticut [5 1]
2	1	W	∗→Arkansas State→Massachusetts [4 1]
3	3	W	∗→South Alabama→Eastern Michigan→Akron [0 0]
			∗→UL Lafayette→Buffalo→Akron
			∗→Appalachian State→Miami-Ohio→Akron
3	1	W	∗→Appalachian State→Miami-Ohio→Bowling Green [4 1]
2	1	W	∗→UL Lafayette→Buffalo [5 1]
3	3	W	∗→South Alabama→Eastern Michigan→Kent State [0 0]
			∗→UL Lafayette→Buffalo→Kent State
			∗→Appalachian State→Miami-Ohio→Kent State
2	1	W	∗→Appalachian State→Miami-Ohio [4 1]
3	1	T	∗→Appalachian State→Miami-Ohio→Ohio [3 1]
3	3	W	∗→Texas State→Georgia Southern→Ball State [5 2]
			∗→South Alabama→Eastern Michigan→Ball State
			∗→Appalachian State→Georgia Southern→Ball State
3	1	W	∗→UL Lafayette→Buffalo→Central Michigan [4 1]
2	1	W	∗→South Alabama→Eastern Michigan [5 1]
4	5	W	∗→Georgia State→UNC-Charlotte→Tulsa→Northern Illinois [4 2]
			∗→Texas State→Georgia Southern→Ball State→Northern Illinois
			∗→South Alabama→Eastern Michigan→Ball State→Northern Illinois
			∗→UL Lafayette→Buffalo→Central Michigan→Northern Illinois
			∗→Appalachian State→Georgia Southern→Ball State→Northern Illinois
3	1	W	∗→Appalachian State→Miami-Ohio→Toledo [5 6]
3	1	W	∗→Appalachian State→Miami-Ohio→Western Michigan [5 1]
2	1	T	∗→Army→Air Force [2 1]
PL	#P	W?	*Win Chains from Troy() to...**
4	3	L	∗→Georgia State→Utah State→Colorado State→Boise State [3 1]
			∗→Army→Air Force→Colorado State→Boise State
			∗→Texas State→Baylor→UCF→Boise State
3	2	W	∗→Georgia State→Utah State→Colorado State [4 1]
			∗→Army→Air Force→Colorado State
4	3	W	∗→Georgia State→Coastal Carolina→San Jose State→Fresno State [4 2]
			∗→Army→Air Force→San Jose State→Fresno State
			∗→Texas State→Nevada→San Diego State→Fresno State
4	3	L	∗→Georgia State→Coastal Carolina→San Jose State→Hawaii [3 1]
			∗→Army→Air Force→San Jose State→Hawaii
			∗→Texas State→Nevada→San Diego State→Hawaii
2	1	W	∗→Texas State→Nevada [5 2]
3	2	W	∗→Georgia State→Utah State→New Mexico [4 1]
			∗→Texas State→Nevada→New Mexico
3	3	W	∗→Georgia State→Utah State→San Diego State [4 2]
			∗→Army→Air Force→San Diego State
			∗→Texas State→Nevada→San Diego State
3	2	W	∗→Georgia State→Coastal Carolina→San Jose State [4 2]
			∗→Army→Air Force→San Jose State
4	3	L	∗→Georgia State→Coastal Carolina→San Jose State→UNLV [3 1]
			∗→Army→Air Force→San Jose State→UNLV
			∗→South Alabama→Oklahoma State→Kansas→UNLV
2	1	W	∗→Georgia State→Utah State [5 3]
3	1	T	∗→Army→Air Force→Wyoming [3 1]
1	1	W	∗→Appalachian State [2 1]
PL	#P	W?	*Win Chains from Troy() to...**
2	2	W	∗→Georgia State→Coastal Carolina [3 1]
			∗→Army→Coastal Carolina
2	2	W	∗→Texas State→Georgia Southern [4 1]
			∗→Appalachian State→Georgia Southern
1	1	W	∗→Georgia State [4 1]
2	1	L	∗→Appalachian State→James Madison [1 1]
2	3	W	∗→Georgia State→Marshall [4 2]
			∗→South Alabama→Marshall
			∗→Appalachian State→Marshall
2	1	W	∗→Western Kentucky→Old Dominion [3 1]
1	1	W	∗→Arkansas State [5 4]
1	1	W	∗→South Alabama [3 1]
1	1	W	∗→Southern Miss [5 2]
1	1	W	∗→Texas State [4 1]
1	1	W	∗→UL Lafayette [4 1]
1	1	W	∗→UL Monroe [4 1]

Win Chains for Troy 9:39pm (US Mountain) 8 Jan 2024

Win Chains for Troy
9:39pm (US Mountain) 8 Jan 2024