Troy win chains

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

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

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

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