1. G9 Btwn2.1 on bipartite G9 H I 16 g 8 11 b 9 18 i 1 6 10 a 17 h F E 128 2 1 7 3 1 8 4 1 7 5 1 4 6 1 4 7 1 4 8 1 3 9 1 4 1 a 4 1 b 4 2 1 c 6 3 1 d 7 4 1 e 8 1 5 f 6 1 g 2 7 1 h 2 8 1 i 2 H I 16 g A 1 3 B 1 3 C 1 6 D 1 5 E 1 8 F 1 8 G 1 H 1 3 I 1 2 J 1 5 K 1 4 L 1 6 M 1 3 N 1 3 B A C D E F G H I J K L M N 1 2 3 4 5 6 7 8 9 a b c d e f g h i 8
x y btw
H 3 103
H 1 103
I e 95
I 3 95
I 1 95
H d 90
H 2 90
H 4 90
I d 83
G 3 79
G e 79
H c 77
I c 71
G 4 69
G 2 69
G d 69
H f 64
E 3 63
E 1 63
F 1 63
F 3 63
F e 63
E 2 55
E 4 55
F 4 55
F 2 55
H 7 55
H a 51
H b 51
H 6 51
H 9 51
G f 49
C 1 47
C 3 47
I b 47
I 9 47
I a 47
L e 47
C 4 41
C 2 41
L d 41
D 1 39
D 3 39
G a 39
G 5 39
G 7 39
G 9 39
J e 39
H 8 38
I 8 35
L c 35
D 4 34
J d 34
E 7 31
E 5 31
E 6 31
E 9 31
F 6 31
F 7 31
K e 31
J c 29
L f 29
H g 25
J f 24 11 b 9 G9 18 i 1 6 10 a 17 h
A 1 23
B 3 23
B 1 23
C 6 23
C 5 23
F 8 23
I i 23
I g 23
I h 23
L a 23
L b 23
M e 23
N e 23
A 2 20
A 4 20
B 2 20
M d 20
N d 20
D 5 19
J b 19
K f 19
M c 17
N c 17
K h 7
K i 7 F E 12 c C 3 7 A L M 2 D K B 15 f J 4 G N 13 d 5
G9: Bipartite graph of the Southern Women Event Participation. Women are numbers (18), events are letters (14) (89 edges) Or
Investors are numbers, stocks are letters in a recommends graph
At this point, Investors {2,3} recommend Stock {A}; Investors {15,17,18} recommend Stock {K}; Investors {12,13} recommend Stocks {M,N} 14 e
After all between-ness2 = 20s are deleted, we have Investors {15,17,18} recommend Stock {K}; Investor {12} recommend Stocks {M,N}
After all between-ness2 = 19s are deleted, we have Investors {17,18} recommend Stock {K}; Investor {12} recommend Stocks {M,N}
After all between-ness2 = 17s are deleted, we have Investors {17,18} recommend Stock {K}.
If one believes high Between-ness2 measure bad recommendation then the best strategy is to buy stock K (assuming you like Investors 17 and 18.
This can be arrived at much simpler by working up from the bottom of the Btwn2 sorted list.
How can we involve Sentiment Analysis? SA is a label on each vertex at this time.
The simplest SA-based measure to use is probably RecommendationQuality1hk = Phk*(SAh+Sak) which assigns edged labels based on SA only.
Then we could define RecommendationQuality2hk = (1/SAh))|Ph-1| + (1/SAk)|Pk-1| + (1/SAh)|Ph-1|*(1/SAk)|Pk-1| at no added cost and do the above again. If SA values can be zero, we use something like 1/(1+SA) instead of just 1/SA. These RQs involve SAs + Btwn-nesses
One could argue for edges at the top (contrarian strategy?) Max btwn2 (or RQ2) edges stand most between the crowds of recommendations?????
Another Contrarian approach would be to isolate high SA Investors recommending low SA stocks (and doing so alone)

2. G9 BtwnSA1 on bipartite G9 H I 16 g 8 11 b 9 18 i 1 6 10 a 17 h F E 12
(1/SAh)|Ph-1|+(1/SAk)|Pk-1|+(1/SAh)|Ph-1|*(1/SAk)|Pk-1| H I 16 g
S I btnSA1
H c 24.5 F
F e 21 F F F
I c 18.2 F
J c 17
N c 17 F F
L c 15 H E H E E E H
H b 9.62 H
H a 9.62
H d 9.62 H E E I H H E E
I e 7.8 I H
M c 7.4
J e 7.25
N e 7.25
I b 7
I d 7
I a 7
G e 6.7 G I
H f 6.65
J d 6.5
J b 6.5
N d 6.5 C
L e 6.33
G d 6 G
G a 6
K e 5.87 C
L d 5.66
L a 5.66
L b 5.66 C
I h 5.4 I G G C C G G
J f 4.4 C
H g 4.31
G f 4.04
K h 4
This is a contrarian strategy. (low BtwnSA2). At this point, Investors 2,4 recommend Stock A and Investor 2 recommends Stock B 8 11 b 9 G9 18 i 1 6 10 a 17 h F E 12 c C 3 7 A L M 2 D K B 15 f J 4 N 13 d G 5
G9: Bipartite graph of the Southern Women Event Participation. Women are numbers (18), events are letters (14) (89 edges) Or
Investors are numbers, stocks are letters in a recommends graph 14 e
a b c d e f g h i (SA^-1)*(Ct-1)
v SA Ct A B C D E F G H I J K L M N
(SA^-1)*(Ct-1) SA Ct
I i 3.8
L f 3.8
K f 3.5 D B
I g 3
M e 2.85 D
K i 2.75 A B D
M d 2.5 A A B D

3. G9 BtwnSA2t on bipartite G9 H I 16 g 8 11 b 9 18 i 1 6 10 a 17 h F E
SAh|Ph-1|+SAk|Pk-1|+SAh|Ph-1|*SAk|Pk-1| Delete from top H I 16 g
S I btnSA2 I H H H
I e 1623 I H G G
I d 1399
G e 1333 G
H d 1324
G d 1149
H f 1112
G f 965 C D I E H C C D E E C D
L e 463 G G E
L d 399
I a 391
I b 391 H H
H a 370
H b 370
I c 335
L f 335 A B
G a 321 G
M e 318
H c 317 F
I g 279 A A B
M d 274
H g 264 B
J e 260 F F F
F e 231
J d 224
K e 202
J f 188
I i 167 I C D H E E
K f 146
This is a contrarian strategy. (low BtwnSA2). At this point, Investors 6,7 and 8 recommend Stock F and Investors 17,18 recommend Stock K and investors 1,2 recommend Stocks J,N 8 11 b 9 G9 18 i 1 6 10 a 17 h F E 12 c C 3 7 A L M 2 D K B 15 f J 4 N 13 d G 5
G9: Bipartite graph of the Southern Women Event Participation. Women are numbers (18), events are letters (14) (89 edges) Or
Investors are numbers, stocks are letters in a recommends graph 14 e
a b c d e f g h i SA*(Ct-1)
v SA Ct A B C D E F G H I J K L M N
SA*(Ct-1) SA Ct C
I h 111
L a 111
L b 111 E E
L c 95
N e 86
N d 74
M c 65
J b 62 F F
J c 53 F
K i 20
N c 17
K h 13

4. G9 BtwnSA2b on bipartite G9 H I 16 g 8 11 b 9 18 i 1 6 10 a 17 h F E
SAh|Ph-1|+SAk|Pk-1|+SAh|Ph-1|*SAk|Pk-1| Del from the bottom H I 16 g
S I btnSA2 I H H H
I e 1623 I H G G
I d 1399
G e 1333 G
H d 1324
G d 1149
H f 1112
G f 965 C D I E H C C D E E C D
L e 463 G G E
L d 399
I a 391
I b 391 H H
H a 370
H b 370
I c 335
L f 335 A B
G a 321 G
M e 318
H c 317 F
I g 279 A A B
M d 274
H g 264 B
J e 260 F F F
F e 231
J d 224
K e 202
J f 188
I i 167 I C D H E E
K f 146
At this point Investors=3,13 recommend Stocks G,H,I and 2,4,15 recommend H,G and 14 recommends G,I and 1 recommends H,I 8
At this point Investor1 still recommends H,I and Investor 2 recommends H.
At this point Investor1 still recommends H,I. 11 b 9 G9 18 i 1 6 10 a 17 h F E 12 c C 3 7 A L M 2 D K B 15 f J 4 N 13 d G 5
G9: Bipartite graph of the Southern Women Event Participation. Women are numbers (18), events are letters (14) (89 edges) Or
Investors are numbers, stocks are letters in a recommends graph 14 e
a b c d e f g h i SA*(Ct-1)
v SA Ct A B C D E F G H I J K L M N
SA*(Ct-1) SA Ct C
I h 111
L a 111
L b 111 E E
L c 95
N e 86
N d 74
M c 65
J b 62 F F
J c 53 F
K i 20
N c 17
K h 13

5. G9 BtwnSA3 on bipartite G9 H I 16 g 8 11 b 9 18 i 1 6 10 a 17 h F E 12
(1/SAH)|PH-1| + SAk|Pk-1| + (1/SAH)|PH-1|*SAk|Pk-1| Delete from the top. Strategies the result from this measure should be low SA stocks recommended by high SA Investors? (Twitter_SA Investor_Contrarian?) H I 16 g
S I btnSA3t F F F F
F e 231 E H E E H H E H I
H d 105.2 C
I e 91.8 I
H f 88.25
J e 86
N e 86 G G C C G
G e 80.2
I d 79 C
L e 76.33
J d 74
N d 74
K e 71.5
G d 69
L d 65.66
J f 62
G f 57.8 D F F
L f 55 A B
K f 51.5 D A A B D E E B H
M e 39.6
M d 34 I E E
H b 28.75 H
H a 28.75 H G G C
H c 24.5 F
I b 21.4
I a 21.4
H g 20.25
J b 20 8
At this point Inv=17,18 recommend Stocks K,I. Inv 8 recommends I. 11 b 9 G9 18 i 1 6 10 a 17 h F E 12 c C 3 7 A L M 2 D K B 15 f J 4 N 13 d G 5
G9: Bipartite graph of the Southern Women Event Participation. Women are numbers (18), events are letters (14) (89 edges) Or
Investors are numbers, stocks are letters in a recommends graph 14 e
a b c d e f g h i (Ct-1)/SA
v 1/SA SA Ct A B C D E F G H I J K L M N
(Ct-1)*SA SA Ct G
G a 18.6
I c 18.2 C
L a 17.66
L b 17.66
J c 17
N c 17 D
I g 15
L c 15 H
I i 8.6 I
M c 7.4
K i 6.5
I h 5.4
K h 4

6. G9 BtwnSA3 on bipartite G9 H I 16 g 8 11 b 9 18 i 1 6 10 a 17 h F E 12
G9: Bipartite graph of Investors=numbers and stocks=letters in a recommends graph H I
(1/SAH)|PH-1| + SAk|Pk-1| + (1/SAH)|PH-1|*SAk|Pk-1| Delete from the bottom. Strategies the result from this measure should be high SA stocks recommended by low SA Investors? (Twitter_SA Stock_Contrarian?). 16 g
S I btnSA3b F F F F
F e 231 E H E E H H E H I
H d 105.2 C
I e 91.8 I
H f 88.25
J e 86
N e 86 G G C C G
G e 80.2
I d 79 C
L e 76.33
J d 74
N d 74
K e 71.5
G d 69
L d 65.66
J f 62
G f 57.8 D F F
L f 55 A B
K f 51.5 D A A B D E E B H
M e 39.6
M d 34 I E E
H b 28.75 H
H a 28.75 H G G C
H c 24.5 F
I b 21.4
I a 21.4
H g 20.25
J b 20 8
At this point Investors=1,2,3,4,14 recommend Stock F (with large gap). Note that Investors 1,2,3,4,14 are held in high regard on twitter but Stock F is held in low regard on twitter.
Thus, I call it Twitter_SA Stock_Contrarian Strategy 11 b
At this point Investors=1,2,3,4 recommend Stocks E,H as well. Stock E is also held in low regard on twitter but Stock H is held in fairly high regard on twitter??? 9 G9 18 i 1 6 10 a 17 h F
Other strategies: 1. Use BtwnSA4= SAH|PH-1|+(1/SAk)|Pk-1|+SAH|PH-1|*1/Sak)|Pk-1| and then delete from the top or bottom (giving alternative contrarian strategies to the last two). E 12 c C 3 7 A L
Other strategies: 2. Eliminate the product term: BtwnSA5[6] = SAH|PH-1|+(1/SAk)|Pk-1| [(1/SAH)|PH-1|+SAk|Pk-1|] and then delete from the top or bottom (giving 4 more alternative contrarian strategies to the last two). M 2 D K B 15 f J 4 N 13 d G 5
Other strategies: 3. Strength of Investor recommendations (Strong Sell, Sell, Neutral, Buy, Strong Buy). One way to capture that info is have a pTreeSet of bit maps for each strength, each like the one below. This amounts to adding an external edge label (the between-nesses are internal edge labels derived the pTree Counts) and vertex labels, AdjacencyCount=pTreeCount (internal) and SA (external). 14 e
Other strategies: 4. There may be lots of other edge labels and vertex labels, each of which (or combinations) open up lots of new possible strategies.
Other strategies: 5. Add a Day dimension (say, the previous 5 days along with stock movement each day as a “face label” on the Stock-Day 2D face (independent of Investor). SA becomes a face label on Stock-Day and Investor-Day. Strength and Between-nesses are HyperEdge labels.
a b c d e f g h i (Ct-1)/SA
v 1/SA SA Ct A B C D E F G H I J K L M N
(Ct-1)*SA SA Ct G
G a 18.6
I c 18.2 C
L a 17.66
L b 17.66
J c 17
N c 17 D
I g 15
L c 15 H
I i 8.6 I
M c 7.4
K i 6.5
I h 5.4
K h 4