Division 1A Scheduling

The Annual D1 Schedule Analysis - part 2

July 15, 2018

In my annual lament I attribute the weak connectivity of the field to overuse of scheduling home games against non-Division 1A teams. That is suerely the biggest contributor but there are other reasons the field is not better-connected. If we consider teams that are connected to the rest of the field by no worse than path length three (opponents' opponents' opponents) "better connected" than teams that require four steps to connect to every other team we find

Of the 25 teams connected to every other team at pathlength three, 21 play at least one game vs a 1AA team (Army and Liberty play 2.)

#1AA	#PL=4	Team
2	0	Army
2	0	Liberty
1	0	Florida State
1	0	Virginia
1	0	Baylor
1	0	Iowa State
1	0	Kansas State
1	0	Oklahoma State
1	0	TCU
1	0	West Virginia
1	0	Missouri
1	0	Vanderbilt
1	0	Connecticut
1	0	Houston
1	0	Navy
1	0	SMU
1	0	Florida Atlantic
1	0	BYU
1	0	Ball State
1	0	Air Force
1	0	Hawaii

Of the 22 teams who have no games against 1AA opponents, 18 have at least one team at pathlength four (UCLA has 10.)

#1AA	#PL=4	Team	O-O-O-Os
0	10	UCLA	Clemson; Louisville; Kentucky; South Carolina; Appalachian State; Coastal Carolina; Georgia Southern; Georgia State; UL Lafayette; UL Monroe
0	7	Maryland	Florida; South Carolina; Alabama; Auburn; LSU; Texas A&M; Louisiana Tech
0	6	Rutgers	Florida; Georgia; South Carolina; Arkansas; Auburn; LSU
0	5	Michigan	Alabama; Auburn; LSU; Mississippi State; Texas A&M
0	5	Northern Illinois	Arkansas; Tulsa; UAB; North Texas; South Alabama
0	4	Northwestern	Auburn; Mississippi State; UAB; Southern Miss
0	4	Southern California	LSU; Texas A&M; UNC-Charlotte; Buffalo
0	2	Indiana	Mississippi State; Texas A&M
0	2	Minnesota	LSU; Texas A&M
0	2	Nebraska	LSU; Rice
0	2	Arizona State	Clemson; Louisville
0	1	Michigan State	LSU
0	1	Ohio State	LSU
0	1	Penn State	Florida
0	1	Purdue	Southern Miss
0	1	Wisconsin	Texas A&M
0	1	Notre Dame	UL Lafayette
0	1	Miami-Ohio	South Alabama
0	0	Oklahoma
0	0	Texas
0	0	Texas-San Antonio
0	0	Boise State

The field ordered by increasing average path-length:

Distance Matrix
Games Scheduled through 8 Dec 2018

18 Jul 2018 4:13pm (US Mountain)

CI	CI%	APL	Team	Conf	PL=1	=2	=3	=4
81	62.8	2.29	Notre Dame	ND	12	69	47	1
78	60.5	2.32	Massachusetts	Ind	11	67	50	1
72	55.8	2.37	Liberty	Ind	9	63	57	0
71	55.0	2.37	Army	Ind	10	61	58	0
68	52.7	2.38	Boise State	MW	12	56	61	0
68	52.7	2.39	BYU	Ind	11	57	61	0
67	51.9	2.39	Texas-San Antonio	CUSA	12	55	62	0
67	51.9	2.40	Ohio State	B10	12	55	61	1
69	53.5	2.40	Rice	CUSA	12	57	56	4
66	51.2	2.40	Miami-Ohio	MAC	12	54	62	1
65	50.4	2.41	Florida Atlantic	CUSA	11	54	64	0
65	50.4	2.41	Purdue	B10	12	53	63	1
64	49.6	2.41	Hawaii	MW	12	52	65	0
64	49.6	2.42	Missouri	SEC	11	53	65	0
64	49.6	2.43	Tulane	AAC	11	53	64	1
64	49.6	2.43	Florida Intl	CUSA	11	53	64	1
63	48.8	2.43	Penn State	B10	12	51	65	1
63	48.8	2.43	Michigan State	B10	12	51	65	1
63	48.8	2.43	Houston	AAC	11	52	66	0
62	48.1	2.43	Navy	AAC	12	50	67	0
62	48.1	2.43	Wisconsin	B10	12	50	66	1
65	50.4	2.44	Western Kentucky	CUSA	11	54	60	4
63	48.8	2.44	Duke	ACC	11	52	64	2
63	48.8	2.44	Marshall	CUSA	11	52	64	2
61	47.3	2.44	SMU	AAC	11	50	68	0
CI	CI%	APL	Team	Conf	PL=1	=2	=3	=4
62	48.1	2.45	Western Michigan	MAC	11	51	65	2
61	47.3	2.45	Minnesota	B10	12	49	66	2
61	47.3	2.45	Indiana	B10	12	49	66	2
61	47.3	2.45	Wake Forest	ACC	11	50	67	1
60	46.5	2.45	Vanderbilt	SEC	11	49	69	0
60	46.5	2.45	Connecticut	AAC	11	49	69	0
63	48.8	2.46	Northern Illinois	MAC	12	51	61	5
60	46.5	2.46	Mississippi	SEC	11	49	68	1
60	46.5	2.46	Nebraska	B10	12	48	67	2
59	45.7	2.46	Virginia	ACC	11	48	70	0
64	49.6	2.47	North Carolina State	ACC	11	53	59	6
62	48.1	2.47	Michigan	B10	12	50	62	5
62	48.1	2.47	Boston College	ACC	11	51	63	4
61	47.3	2.47	New Mexico State	Ind	10	51	66	2
61	47.3	2.47	Tulsa	AAC	11	50	65	3
58	45.0	2.47	Ball State	MAC	11	47	71	0
57	44.2	2.47	Oklahoma	B12	12	45	72	0
60	46.5	2.47	Ohio	MAC	11	49	66	3
60	46.5	2.47	Central Michigan	MAC	11	49	66	3
58	45.0	2.47	Miami-Florida	ACC	11	47	70	1
58	45.0	2.47	Temple	AAC	11	47	70	1
58	45.0	2.47	South Florida	AAC	11	47	70	1
57	44.2	2.47	Florida State	ACC	11	46	72	0
57	44.2	2.47	Air Force	MW	11	46	72	0
61	47.3	2.48	Rutgers	B10	12	49	62	6
CI	CI%	APL	Team	Conf	PL=1	=2	=3	=4
60	46.5	2.48	UTEP	CUSA	11	49	65	4
59	45.7	2.48	Georgia Tech	ACC	11	48	67	3
57	44.2	2.48	Troy	SBC	11	46	71	1
55	42.6	2.48	Texas	B12	12	43	74	0
58	45.0	2.49	Northwestern	B10	12	46	67	4
58	45.0	2.49	Tennessee	SEC	11	47	68	3
58	45.0	2.49	Memphis	AAC	11	47	68	3
60	46.5	2.50	Maryland	B10	12	48	62	7
55	42.6	2.50	Arizona State	P12	12	43	72	2
55	42.6	2.50	Nevada	MW	11	44	73	1
55	42.6	2.50	Syracuse	ACC	11	44	73	1
59	45.7	2.50	Bowling Green	MAC	11	48	64	6
59	45.7	2.50	Fresno State	MW	11	48	64	6
58	45.0	2.50	Toledo	MAC	11	47	66	5
58	45.0	2.50	Old Dominion	CUSA	11	47	66	5
57	44.2	2.50	UNLV	MW	11	46	68	4
56	43.4	2.50	Arkansas	SEC	11	45	70	3
56	43.4	2.50	Southern California	P12	12	44	69	4
55	42.6	2.50	Texas State	SBC	11	44	72	2
54	41.9	2.50	Kent State	MAC	11	43	74	1
54	41.9	2.50	Georgia	SEC	11	43	74	1
54	41.9	2.50	North Carolina	ACC	11	43	74	1
57	44.2	2.51	Georgia State	SBC	11	46	67	5
55	42.6	2.51	Eastern Michigan	MAC	11	44	71	3
55	42.6	2.51	Pittsburgh	ACC	11	44	71	3
CI	CI%	APL	Team	Conf	PL=1	=2	=3	=4
54	41.9	2.51	Arkansas State	SBC	11	43	73	2
53	41.1	2.51	New Mexico	MW	11	42	75	1
55	42.6	2.52	Buffalo	MAC	11	44	70	4
55	42.6	2.52	Kentucky	SEC	11	44	70	4
53	41.1	2.52	Colorado State	MW	11	42	74	2
52	40.3	2.52	Illinois	B10	11	41	76	1
54	41.9	2.53	Alabama	SEC	11	43	71	4
50	38.8	2.53	West Virginia	B12	11	39	79	0
50	38.8	2.53	Oklahoma State	B12	11	39	79	0
56	43.4	2.53	Auburn	SEC	11	45	66	7
49	38.0	2.53	Baylor	B12	11	38	80	0
58	45.0	2.54	Louisville	ACC	11	47	61	10
57	44.2	2.54	North Texas	CUSA	11	46	63	9
54	41.9	2.54	Virginia Tech	ACC	11	43	69	6
53	41.1	2.54	Iowa	B10	11	42	71	5
53	41.1	2.54	Utah State	MW	11	42	71	5
48	37.2	2.54	Kansas State	B12	11	37	81	0
57	44.2	2.55	Cincinnati	AAC	11	46	62	10
56	43.4	2.55	UCLA	P12	12	44	63	10
55	42.6	2.55	UNC-Charlotte	CUSA	11	44	66	8
55	42.6	2.55	Clemson	ACC	11	44	66	8
54	41.9	2.55	South Carolina	SEC	11	43	68	7
53	41.1	2.55	Louisiana Tech	CUSA	11	42	70	6
51	39.5	2.55	UCF	AAC	11	40	74	4
50	38.8	2.55	East Carolina	AAC	11	39	76	3
CI	CI%	APL	Team	Conf	PL=1	=2	=3	=4
51	39.5	2.56	Wyoming	MW	11	40	73	5
50	38.8	2.56	Georgia Southern	SBC	11	39	75	4
47	36.4	2.56	Texas Tech	B12	11	36	81	1
55	42.6	2.57	UAB	CUSA	11	44	64	10
53	41.1	2.57	Mississippi State	SEC	11	42	68	8
51	39.5	2.57	San Diego State	MW	11	40	72	6
50	38.8	2.57	Coastal Carolina	SBC	11	39	74	5
46	35.7	2.57	Kansas	B12	11	35	82	1
45	34.9	2.57	Iowa State	B12	11	34	84	0
45	34.9	2.57	TCU	B12	11	34	84	0
52	40.3	2.57	Appalachian State	SBC	11	41	69	8
52	40.3	2.57	Akron	MAC	11	41	69	8
49	38.0	2.57	Southern Miss	CUSA	11	38	75	5
49	38.0	2.57	Florida	SEC	10	39	76	4
49	38.0	2.58	Middle Tenn State	CUSA	11	38	74	6
54	41.9	2.59	South Alabama	SBC	11	43	63	12
52	40.3	2.59	LSU	SEC	11	41	67	10
47	36.4	2.59	Colorado	P12	11	36	77	5
45	34.9	2.59	Washington	P12	11	34	81	3
51	39.5	2.60	Texas A&M	SEC	11	40	67	11
47	36.4	2.61	UL Lafayette	SBC	11	36	74	8
45	34.9	2.62	Utah	P12	11	34	77	7
46	35.7	2.63	California	P12	11	35	74	9
44	34.1	2.63	San Jose State	MW	11	33	78	7
47	36.4	2.64	Arizona	P12	11	36	71	11
CI	CI%	APL	Team	Conf	PL=1	=2	=3	=4
44	34.1	2.64	Stanford	P12	11	33	77	8
43	33.3	2.67	Oregon State	P12	11	32	75	11
43	33.3	2.67	UL Monroe	SBC	11	32	75	11
43	33.3	2.68	Oregon	P12	11	32	73	13
36	27.9	2.77	Washington State	P12	11	25	76	17

3672		2.50	Field		726	2946	4474	240
			%Pairs		8.7	35.1	53.4	2.9

The Annual D1 Schedule Analysis - part 2

July 15, 2018

Distance MatrixGames Scheduled through 8 Dec 2018

18 Jul 2018 4:13pm (US Mountain)

Distance Matrix
Games Scheduled through 8 Dec 2018