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Gml 1805 weighted degree cent #153

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Jul 3, 2024
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Gml 1805 weighted degree cent #153

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73cc81a
init
RobRossmiller-TG Jul 2, 2024
60818ce
complete graphs
RobRossmiller-TG Jul 3, 2024
6c8fb8f
update template query
RobRossmiller-TG Jul 3, 2024
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52 changes: 27 additions & 25 deletions GDBMS_ALGO/centrality/weighted_degree_cent.gsql
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@@ -1,5 +1,4 @@
CREATE TEMPLATE QUERY GDBMS_ALGO.centrality.weighted_degree_cent(STRING v_type, STRING e_type, STRING reverse_e_type, string weight_attribute, BOOL in_degree = TRUE, BOOL out_degree = TRUE, INT top_k=100, BOOL print_results = TRUE, STRING result_attribute = "",STRING file_path = "") SYNTAX V1 {

/*
First Author: <First Author Name>
First Commit Date: <First Commit Date>
Expand All @@ -22,18 +21,20 @@ CREATE TEMPLATE QUERY GDBMS_ALGO.centrality.weighted_degree_cent(STRING v_type,
for undirected graph, you only need to set e_type and in_degree

Publications:
<link>
NA

TigerGraph Documentation:
<link>
https://docs.tigergraph.com/graph-ml/current/centrality-algorithms/weighted-degree-centrality

Parameters:
v_type:
vertex types to traverse
Vertex types to traverse
e_type:
edge types to traverse
Edge types to traverse
reverse_e_type:
for indegree use
For indegree use
weight_attribute:
The edge weight attribute name
in_degree:
If True, count incoming relationships
out_degree:
Expand All @@ -43,27 +44,28 @@ CREATE TEMPLATE QUERY GDBMS_ALGO.centrality.weighted_degree_cent(STRING v_type,
print_results:
If True, print the results
result_attribute:
attribute to write result to
Attribute to write result to
file_path:
file to write CSV output to
*/
File to write CSV output to
*/

TYPEDEF TUPLE<VERTEX Vertex_ID, FLOAT score> Vertex_Score;
HeapAccum<Vertex_Score>(top_k, score DESC) @@top_scores_heap;
SumAccum<INT> @sum_degree_score;
SumAccum<FLOAT> @sum_degree_score;
FILE f (file_path);

all = {v_type};
IF in_degree THEN
sll = SELECT s
FROM all:s-(reverse_e_type:e)-:t
ACCUM s.@sum_degree_score+=e.getAttr(weight_attribute,"INT");
FROM all:s -(reverse_e_type:e)- :t
ACCUM s.@sum_degree_score += e.getAttr(weight_attribute, "FLOAT");
END;
IF out_degree THEN
sll = SELECT s
FROM all:s-(e_type:e)-:t
ACCUM s.@sum_degree_score+=e.getAttr(weight_attribute,"INT");
FROM all:s -(e_type:e)- :t
ACCUM s.@sum_degree_score += e.getAttr(weight_attribute, "FLOAT");
END;

#Output
IF file_path != "" THEN
f.println("Vertex_ID", "Degree");
Expand All @@ -72,17 +74,17 @@ CREATE TEMPLATE QUERY GDBMS_ALGO.centrality.weighted_degree_cent(STRING v_type,
Start = SELECT s
FROM all:s
POST-ACCUM
IF result_attribute != "" THEN
s.setAttr(result_attribute, s.@sum_degree_score)
END,

IF print_results THEN
@@top_scores_heap += Vertex_Score(s, s.@sum_degree_score)
END,

IF file_path != "" THEN
f.println(s, s.@sum_degree_score)
END;
IF result_attribute != "" THEN
s.setAttr(result_attribute, s.@sum_degree_score)
END,
IF print_results THEN
@@top_scores_heap += Vertex_Score(s, s.@sum_degree_score)
END,
IF file_path != "" THEN
f.println(s, s.@sum_degree_score)
END;

IF print_results THEN
PRINT @@top_scores_heap AS top_scores;
Expand Down
54 changes: 28 additions & 26 deletions algorithms/Centrality/degree/weighted/tg_weighted_degree_cent.gsql
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@@ -1,5 +1,4 @@
CREATE QUERY tg_weighted_degree_cent(STRING v_type, STRING e_type, STRING reverse_e_type, string weight_attribute, BOOL in_degree = TRUE, BOOL out_degree = TRUE, INT top_k=100, BOOL print_results = TRUE, STRING result_attribute = "",STRING file_path = "") SYNTAX V1 {

CREATE QUERY tg_weighted_degree_cent(STRING v_type, STRING e_type, STRING reverse_e_type, STRING weight_attribute, BOOL in_degree = TRUE, BOOL out_degree = TRUE, INT top_k=100, BOOL print_results = TRUE, STRING result_attribute = "",STRING file_path = "") SYNTAX V1 {
/*
First Author: <First Author Name>
First Commit Date: <First Commit Date>
Expand All @@ -22,18 +21,20 @@ CREATE QUERY tg_weighted_degree_cent(STRING v_type, STRING e_type, STRING revers
for undirected graph, you only need to set e_type and in_degree

Publications:
<link>
NA

TigerGraph Documentation:
<link>
https://docs.tigergraph.com/graph-ml/current/centrality-algorithms/weighted-degree-centrality

Parameters:
v_type:
vertex types to traverse
Vertex types to traverse
e_type:
edge types to traverse
Edge types to traverse
reverse_e_type:
for indegree use
For indegree use
weight_attribute:
The edge weight attribute name
in_degree:
If True, count incoming relationships
out_degree:
Expand All @@ -43,27 +44,28 @@ CREATE QUERY tg_weighted_degree_cent(STRING v_type, STRING e_type, STRING revers
print_results:
If True, print the results
result_attribute:
attribute to write result to
Attribute to write result to
file_path:
file to write CSV output to
*/
File to write CSV output to
*/

TYPEDEF TUPLE<VERTEX Vertex_ID, FLOAT score> Vertex_Score;
HeapAccum<Vertex_Score>(top_k, score DESC) @@top_scores_heap;
SumAccum<INT> @sum_degree_score;
SumAccum<FLOAT> @sum_degree_score;
FILE f (file_path);

all = {v_type};
IF in_degree THEN
sll = SELECT s
FROM all:s-(reverse_e_type:e)-:t
ACCUM s.@sum_degree_score+=e.getAttr(weight_attribute,"INT");
FROM all:s -(reverse_e_type:e)- :t
ACCUM s.@sum_degree_score += e.getAttr(weight_attribute, "FLOAT");
END;
IF out_degree THEN
sll = SELECT s
FROM all:s-(e_type:e)-:t
ACCUM s.@sum_degree_score+=e.getAttr(weight_attribute,"INT");
FROM all:s -(e_type:e)- :t
ACCUM s.@sum_degree_score += e.getAttr(weight_attribute, "FLOAT");
END;

#Output
IF file_path != "" THEN
f.println("Vertex_ID", "Degree");
Expand All @@ -72,17 +74,17 @@ CREATE QUERY tg_weighted_degree_cent(STRING v_type, STRING e_type, STRING revers
Start = SELECT s
FROM all:s
POST-ACCUM
IF result_attribute != "" THEN
s.setAttr(result_attribute, s.@sum_degree_score)
END,

IF print_results THEN
@@top_scores_heap += Vertex_Score(s, s.@sum_degree_score)
END,

IF file_path != "" THEN
f.println(s, s.@sum_degree_score)
END;
IF result_attribute != "" THEN
s.setAttr(result_attribute, s.@sum_degree_score)
END,
IF print_results THEN
@@top_scores_heap += Vertex_Score(s, s.@sum_degree_score)
END,
IF file_path != "" THEN
f.println(s, s.@sum_degree_score)
END;

IF print_results THEN
PRINT @@top_scores_heap AS top_scores;
Expand Down
1 change: 1 addition & 0 deletions tests/data/baseline/centrality/weighted_degree_centrality/Complete_Weighted.json
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[{"top_scores": [{"Vertex_ID": "A", "score": 70.0}, {"Vertex_ID": "B", "score": 36.0}, {"Vertex_ID": "C", "score": 99.0}, {"Vertex_ID": "D", "score": 105.0}, {"Vertex_ID": "E", "score": 33.0}, {"Vertex_ID": "F", "score": 20.0}, {"Vertex_ID": "G", "score": 84.0}, {"Vertex_ID": "H", "score": 109.0}]}]
2 changes: 1 addition & 1 deletion tests/data/baseline/centrality/weighted_degree_centrality/Hub_Spoke_Weighted.json
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[{"top_scores": [{"Vertex_ID": "A", "score": 190}, {"Vertex_ID": "M", "score": 44}, {"Vertex_ID": "T", "score": 35}, {"Vertex_ID": "I", "score": 31}, {"Vertex_ID": "H", "score": 25}, {"Vertex_ID": "P", "score": 24}, {"Vertex_ID": "N", "score": 17}, {"Vertex_ID": "S", "score": 16}, {"Vertex_ID": "B", "score": 10}, {"Vertex_ID": "G", "score": 8}, {"Vertex_ID": "L", "score": 6}, {"Vertex_ID": "D", "score": 5}, {"Vertex_ID": "J", "score": 4}, {"Vertex_ID": "C", "score": 2}, {"Vertex_ID": "O", "score": 0}, {"Vertex_ID": "E", "score": -3}, {"Vertex_ID": "Q", "score": -7}, {"Vertex_ID": "K", "score": -8}, {"Vertex_ID": "R", "score": -9}, {"Vertex_ID": "F", "score": -10}]}]
[{"top_scores": [{"Vertex_ID": "A", "score": 190.0}, {"Vertex_ID": "B", "score": 10.0}, {"Vertex_ID": "C", "score": 2.0}, {"Vertex_ID": "D", "score": 5.0}, {"Vertex_ID": "E", "score": -3.0}, {"Vertex_ID": "F", "score": -10.0}, {"Vertex_ID": "G", "score": 8.0}, {"Vertex_ID": "H", "score": 25.0}, {"Vertex_ID": "I", "score": 31.0}, {"Vertex_ID": "J", "score": 4.0}, {"Vertex_ID": "K", "score": -8.0}, {"Vertex_ID": "L", "score": 6.0}, {"Vertex_ID": "M", "score": 44.0}, {"Vertex_ID": "N", "score": 17.0}, {"Vertex_ID": "O", "score": 0.0}, {"Vertex_ID": "P", "score": 24.0}, {"Vertex_ID": "Q", "score": -7.0}, {"Vertex_ID": "R", "score": -9.0}, {"Vertex_ID": "S", "score": 16.0}, {"Vertex_ID": "T", "score": 35.0}]}]
2 changes: 1 addition & 1 deletion tests/data/baseline/centrality/weighted_degree_centrality/Line_Weighted.json
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[{"top_scores": [{"Vertex_ID": "J", "score": 74}, {"Vertex_ID": "E", "score": 71}, {"Vertex_ID": "K", "score": 52}, {"Vertex_ID": "N", "score": 48}, {"Vertex_ID": "F", "score": 47}, {"Vertex_ID": "D", "score": 35}, {"Vertex_ID": "O", "score": 33}, {"Vertex_ID": "I", "score": 30}, {"Vertex_ID": "Q", "score": 26}, {"Vertex_ID": "R", "score": 17}, {"Vertex_ID": "T", "score": 15}, {"Vertex_ID": "S", "score": 7}, {"Vertex_ID": "C", "score": 6}, {"Vertex_ID": "A", "score": 5}, {"Vertex_ID": "M", "score": 5}, {"Vertex_ID": "B", "score": 4}, {"Vertex_ID": "P", "score": 3}, {"Vertex_ID": "H", "score": -2}, {"Vertex_ID": "G", "score": -6}, {"Vertex_ID": "L", "score": -12}]}]
[{"top_scores": [{"Vertex_ID": "A", "score": 5.0}, {"Vertex_ID": "B", "score": 4.0}, {"Vertex_ID": "C", "score": 6.0}, {"Vertex_ID": "D", "score": 35.0}, {"Vertex_ID": "E", "score": 71.0}, {"Vertex_ID": "F", "score": 47.0}, {"Vertex_ID": "G", "score": -6.0}, {"Vertex_ID": "H", "score": -2.0}, {"Vertex_ID": "I", "score": 30.0}, {"Vertex_ID": "J", "score": 74.0}, {"Vertex_ID": "K", "score": 52.0}, {"Vertex_ID": "L", "score": -12.0}, {"Vertex_ID": "M", "score": 5.0}, {"Vertex_ID": "N", "score": 48.0}, {"Vertex_ID": "O", "score": 33.0}, {"Vertex_ID": "P", "score": 3.0}, {"Vertex_ID": "Q", "score": 26.0}, {"Vertex_ID": "R", "score": 17.0}, {"Vertex_ID": "S", "score": 7.0}, {"Vertex_ID": "T", "score": 15.0}]}]
2 changes: 1 addition & 1 deletion tests/data/baseline/centrality/weighted_degree_centrality/Ring_Weighted.json
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[{"top_scores": [{"Vertex_ID": "I", "score": 21}, {"Vertex_ID": "A", "score": 21}, {"Vertex_ID": "P", "score": 20}, {"Vertex_ID": "E", "score": 18}, {"Vertex_ID": "H", "score": 18}, {"Vertex_ID": "M", "score": 18}, {"Vertex_ID": "T", "score": 18}, {"Vertex_ID": "N", "score": 17}, {"Vertex_ID": "J", "score": 15}, {"Vertex_ID": "O", "score": 14}, {"Vertex_ID": "R", "score": 14}, {"Vertex_ID": "S", "score": 13}, {"Vertex_ID": "Q", "score": 11}, {"Vertex_ID": "G", "score": 11}, {"Vertex_ID": "F", "score": 6}, {"Vertex_ID": "D", "score": 6}, {"Vertex_ID": "B", "score": 3}, {"Vertex_ID": "L", "score": 2}, {"Vertex_ID": "C", "score": -1}, {"Vertex_ID": "K", "score": -7}]}]
[{"top_scores": [{"Vertex_ID": "A", "score": 21.0}, {"Vertex_ID": "B", "score": 3.0}, {"Vertex_ID": "T", "score": 18.0}, {"Vertex_ID": "C", "score": -1.0}, {"Vertex_ID": "D", "score": 6.0}, {"Vertex_ID": "E", "score": 18.0}, {"Vertex_ID": "F", "score": 6.0}, {"Vertex_ID": "G", "score": 11.0}, {"Vertex_ID": "H", "score": 18.0}, {"Vertex_ID": "I", "score": 21.0}, {"Vertex_ID": "J", "score": 15.0}, {"Vertex_ID": "K", "score": -7.0}, {"Vertex_ID": "L", "score": 2.0}, {"Vertex_ID": "M", "score": 18.0}, {"Vertex_ID": "N", "score": 17.0}, {"Vertex_ID": "O", "score": 14.0}, {"Vertex_ID": "P", "score": 20.0}, {"Vertex_ID": "Q", "score": 11.0}, {"Vertex_ID": "R", "score": 14.0}, {"Vertex_ID": "S", "score": 13.0}]}]
2 changes: 1 addition & 1 deletion tests/data/baseline/centrality/weighted_degree_centrality/Tree_Weighted.json
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[{"top_scores": [{"Vertex_ID": "G", "score": 83}, {"Vertex_ID": "C", "score": 73}, {"Vertex_ID": "I", "score": 59}, {"Vertex_ID": "S", "score": 33}, {"Vertex_ID": "E", "score": 29}, {"Vertex_ID": "D", "score": 29}, {"Vertex_ID": "J", "score": 24}, {"Vertex_ID": "O", "score": 21}, {"Vertex_ID": "F", "score": 17}, {"Vertex_ID": "N", "score": 12}, {"Vertex_ID": "P", "score": 11}, {"Vertex_ID": "B", "score": 8}, {"Vertex_ID": "T", "score": 7}, {"Vertex_ID": "M", "score": 5}, {"Vertex_ID": "H", "score": 5}, {"Vertex_ID": "K", "score": 4}, {"Vertex_ID": "A", "score": 3}, {"Vertex_ID": "R", "score": -5}, {"Vertex_ID": "Q", "score": -6}, {"Vertex_ID": "L", "score": -10}]}]
[{"top_scores": [{"Vertex_ID": "A", "score": 3.0}, {"Vertex_ID": "B", "score": 8.0}, {"Vertex_ID": "C", "score": 73.0}, {"Vertex_ID": "D", "score": 29.0}, {"Vertex_ID": "E", "score": 29.0}, {"Vertex_ID": "F", "score": 17.0}, {"Vertex_ID": "G", "score": 83.0}, {"Vertex_ID": "H", "score": 5.0}, {"Vertex_ID": "I", "score": 59.0}, {"Vertex_ID": "J", "score": 24.0}, {"Vertex_ID": "K", "score": 4.0}, {"Vertex_ID": "L", "score": -10.0}, {"Vertex_ID": "M", "score": 5.0}, {"Vertex_ID": "N", "score": 12.0}, {"Vertex_ID": "O", "score": 21.0}, {"Vertex_ID": "P", "score": 11.0}, {"Vertex_ID": "Q", "score": -6.0}, {"Vertex_ID": "R", "score": -5.0}, {"Vertex_ID": "S", "score": 33.0}, {"Vertex_ID": "T", "score": 7.0}]}]
1 change: 1 addition & 0 deletions .../baseline/centrality/weighted_degree_centrality/in_degree/Complete_Directed_Weighted.json
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[{"top_scores": [{"Vertex_ID": "A", "score": 79.0}, {"Vertex_ID": "B", "score": 75.0}, {"Vertex_ID": "C", "score": 116.0}, {"Vertex_ID": "D", "score": 80.0}, {"Vertex_ID": "E", "score": 81.0}, {"Vertex_ID": "F", "score": 17.0}, {"Vertex_ID": "G", "score": 96.0}, {"Vertex_ID": "H", "score": 90.0}]}]
2 changes: 1 addition & 1 deletion ...baseline/centrality/weighted_degree_centrality/in_degree/Hub_Spoke_Directed_Weighted.json
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[{"top_scores": [{"Vertex_ID": "M", "score": 44}, {"Vertex_ID": "T", "score": 35}, {"Vertex_ID": "I", "score": 31}, {"Vertex_ID": "H", "score": 25}, {"Vertex_ID": "P", "score": 24}, {"Vertex_ID": "N", "score": 17}, {"Vertex_ID": "S", "score": 16}, {"Vertex_ID": "B", "score": 10}, {"Vertex_ID": "G", "score": 8}, {"Vertex_ID": "L", "score": 6}, {"Vertex_ID": "D", "score": 5}, {"Vertex_ID": "J", "score": 4}, {"Vertex_ID": "C", "score": 2}, {"Vertex_ID": "O", "score": 0}, {"Vertex_ID": "A", "score": 0}, {"Vertex_ID": "E", "score": -3}, {"Vertex_ID": "Q", "score": -7}, {"Vertex_ID": "K", "score": -8}, {"Vertex_ID": "R", "score": -9}, {"Vertex_ID": "F", "score": -10}]}]
[{"top_scores": [{"Vertex_ID": "B", "score": 10.0}, {"Vertex_ID": "C", "score": 2.0}, {"Vertex_ID": "D", "score": 5.0}, {"Vertex_ID": "E", "score": -3.0}, {"Vertex_ID": "F", "score": -10.0}, {"Vertex_ID": "G", "score": 8.0}, {"Vertex_ID": "H", "score": 25.0}, {"Vertex_ID": "I", "score": 31.0}, {"Vertex_ID": "J", "score": 4.0}, {"Vertex_ID": "K", "score": -8.0}, {"Vertex_ID": "L", "score": 6.0}, {"Vertex_ID": "M", "score": 44.0}, {"Vertex_ID": "N", "score": 17.0}, {"Vertex_ID": "O", "score": 0.0}, {"Vertex_ID": "P", "score": 24.0}, {"Vertex_ID": "Q", "score": -7.0}, {"Vertex_ID": "R", "score": -9.0}, {"Vertex_ID": "S", "score": 16.0}, {"Vertex_ID": "T", "score": 35.0}]}]
2 changes: 1 addition & 1 deletion ...data/baseline/centrality/weighted_degree_centrality/in_degree/Line_Directed_Weighted.json
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[{"top_scores": [{"Vertex_ID": "K", "score": 52}, {"Vertex_ID": "F", "score": 43}, {"Vertex_ID": "O", "score": 31}, {"Vertex_ID": "E", "score": 28}, {"Vertex_ID": "R", "score": 25}, {"Vertex_ID": "J", "score": 22}, {"Vertex_ID": "N", "score": 17}, {"Vertex_ID": "T", "score": 15}, {"Vertex_ID": "I", "score": 8}, {"Vertex_ID": "D", "score": 7}, {"Vertex_ID": "B", "score": 5}, {"Vertex_ID": "G", "score": 4}, {"Vertex_ID": "P", "score": 2}, {"Vertex_ID": "Q", "score": 1}, {"Vertex_ID": "A", "score": 0}, {"Vertex_ID": "L", "score": 0}, {"Vertex_ID": "C", "score": -1}, {"Vertex_ID": "S", "score": -8}, {"Vertex_ID": "H", "score": -10}, {"Vertex_ID": "M", "score": -12}]}]
[{"top_scores": [{"Vertex_ID": "B", "score": 5.0}, {"Vertex_ID": "C", "score": -1.0}, {"Vertex_ID": "D", "score": 7.0}, {"Vertex_ID": "E", "score": 28.0}, {"Vertex_ID": "F", "score": 43.0}, {"Vertex_ID": "G", "score": 4.0}, {"Vertex_ID": "H", "score": -10.0}, {"Vertex_ID": "I", "score": 8.0}, {"Vertex_ID": "J", "score": 22.0}, {"Vertex_ID": "K", "score": 52.0}, {"Vertex_ID": "L", "score": 0.0}, {"Vertex_ID": "M", "score": -12.0}, {"Vertex_ID": "N", "score": 17.0}, {"Vertex_ID": "O", "score": 31.0}, {"Vertex_ID": "P", "score": 2.0}, {"Vertex_ID": "Q", "score": 1.0}, {"Vertex_ID": "R", "score": 25.0}, {"Vertex_ID": "S", "score": -8.0}, {"Vertex_ID": "T", "score": 15.0}]}]
2 changes: 1 addition & 1 deletion ...data/baseline/centrality/weighted_degree_centrality/in_degree/Ring_Directed_Weighted.json
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[{"top_scores": [{"Vertex_ID": "A", "score": 19}, {"Vertex_ID": "J", "score": 18}, {"Vertex_ID": "H", "score": 15}, {"Vertex_ID": "S", "score": 14}, {"Vertex_ID": "N", "score": 12}, {"Vertex_ID": "Q", "score": 11}, {"Vertex_ID": "F", "score": 10}, {"Vertex_ID": "P", "score": 9}, {"Vertex_ID": "E", "score": 8}, {"Vertex_ID": "M", "score": 6}, {"Vertex_ID": "O", "score": 5}, {"Vertex_ID": "I", "score": 3}, {"Vertex_ID": "B", "score": 2}, {"Vertex_ID": "C", "score": 1}, {"Vertex_ID": "R", "score": 0}, {"Vertex_ID": "T", "score": -1}, {"Vertex_ID": "D", "score": -2}, {"Vertex_ID": "K", "score": -3}, {"Vertex_ID": "G", "score": -4}, {"Vertex_ID": "L", "score": -4}]}]
[{"top_scores": [{"Vertex_ID": "B", "score": 2.0}, {"Vertex_ID": "C", "score": 1.0}, {"Vertex_ID": "D", "score": -2.0}, {"Vertex_ID": "E", "score": 8.0}, {"Vertex_ID": "F", "score": 10.0}, {"Vertex_ID": "G", "score": -4.0}, {"Vertex_ID": "H", "score": 15.0}, {"Vertex_ID": "I", "score": 3.0}, {"Vertex_ID": "J", "score": 18.0}, {"Vertex_ID": "K", "score": -3.0}, {"Vertex_ID": "L", "score": -4.0}, {"Vertex_ID": "M", "score": 6.0}, {"Vertex_ID": "N", "score": 12.0}, {"Vertex_ID": "O", "score": 5.0}, {"Vertex_ID": "P", "score": 9.0}, {"Vertex_ID": "Q", "score": 11.0}, {"Vertex_ID": "R", "score": 0.0}, {"Vertex_ID": "S", "score": 14.0}, {"Vertex_ID": "T", "score": -1.0}, {"Vertex_ID": "A", "score": 19.0}]}]
2 changes: 1 addition & 1 deletion ...data/baseline/centrality/weighted_degree_centrality/in_degree/Tree_Directed_Weighted.json
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[{"top_scores": [{"Vertex_ID": "G", "score": 50}, {"Vertex_ID": "S", "score": 33}, {"Vertex_ID": "I", "score": 31}, {"Vertex_ID": "F", "score": 22}, {"Vertex_ID": "O", "score": 21}, {"Vertex_ID": "J", "score": 17}, {"Vertex_ID": "N", "score": 12}, {"Vertex_ID": "P", "score": 11}, {"Vertex_ID": "E", "score": 8}, {"Vertex_ID": "T", "score": 7}, {"Vertex_ID": "M", "score": 5}, {"Vertex_ID": "K", "score": 4}, {"Vertex_ID": "B", "score": 2}, {"Vertex_ID": "C", "score": 1}, {"Vertex_ID": "A", "score": 0}, {"Vertex_ID": "H", "score": 0}, {"Vertex_ID": "D", "score": -2}, {"Vertex_ID": "R", "score": -5}, {"Vertex_ID": "Q", "score": -6}, {"Vertex_ID": "L", "score": -10}]}]
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