From bffb5a6c064c49a87f83435368a4f8f891b4e46e Mon Sep 17 00:00:00 2001
From: Yuren Hao <blackhao0426@gmail.com>
Date: Tue, 24 Feb 2026 08:53:02 +0000
Subject: Add edge connectivity analysis, use official network_evaluation
 scripts

- Switch accuracy computation to official network_evaluation scripts
  (clustering_accuracy with graph-tool NMI/AMI and sklearn ARI)
- Add minimum edge cut / log10(n) and well-connectedness stats
- Add edge connectivity boxplots and well-connected fraction bar chart
- Add "What I Learned and Open Questions" section to discussion
- Fix author name and minor LaTeX issues
---
 .../stats/internet_as/infomap/cluster_details.json | 4208 +++++++++++++++-----
 1 file changed, 3156 insertions(+), 1052 deletions(-)

(limited to 'results/stats/internet_as/infomap/cluster_details.json')

diff --git a/results/stats/internet_as/infomap/cluster_details.json b/results/stats/internet_as/infomap/cluster_details.json
index 6d9651a..61f186b 100644
--- a/results/stats/internet_as/infomap/cluster_details.json
+++ b/results/stats/internet_as/infomap/cluster_details.json
@@ -6,7 +6,9 @@
     "c_boundary": 4098,
     "edge_density": 0.01576787546277711,
     "degree_density": 3.3349056603773586,
-    "conductance": 0.5916835114062952
+    "conductance": 0.5916835114062952,
+    "mincut": 1,
+    "mincut_over_log10n": 0.3806093458551821
   },
   {
     "com_id": "10",
@@ -15,7 +17,9 @@
     "c_boundary": 69,
     "edge_density": 0.007903724182793951,
     "degree_density": 1.6953488372093024,
-    "conductance": 0.04518664047151277
+    "conductance": 0.04518664047151277,
+    "mincut": 1,
+    "mincut_over_log10n": 0.37972735078002484
   },
   {
     "com_id": "100",
@@ -24,7 +28,9 @@
     "c_boundary": 55,
     "edge_density": 0.045454545454545456,
     "degree_density": 1.0,
-    "conductance": 0.3793103448275862
+    "conductance": 0.3793103448275862,
+    "mincut": 1,
+    "mincut_over_log10n": 0.6048829123101416
   },
   {
     "com_id": "1000",
@@ -33,7 +39,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1001",
@@ -42,7 +50,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1002",
@@ -51,7 +61,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1003",
@@ -60,7 +72,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1004",
@@ -69,7 +83,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1005",
@@ -78,7 +94,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1006",
@@ -87,7 +105,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1007",
@@ -96,7 +116,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1008",
@@ -105,7 +127,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1009",
@@ -114,7 +138,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "101",
@@ -123,7 +149,9 @@
     "c_boundary": 81,
     "edge_density": 0.06881720430107527,
     "degree_density": 1.032258064516129,
-    "conductance": 0.5586206896551724
+    "conductance": 0.5586206896551724,
+    "mincut": 1,
+    "mincut_over_log10n": 0.6705281516444292
   },
   {
     "com_id": "1010",
@@ -132,7 +160,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1011",
@@ -141,7 +171,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1012",
@@ -150,7 +182,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1013",
@@ -159,7 +193,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1014",
@@ -168,7 +204,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1015",
@@ -177,7 +215,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1016",
@@ -186,7 +226,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1017",
@@ -195,7 +237,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1018",
@@ -204,7 +248,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1019",
@@ -213,7 +259,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "102",
@@ -222,7 +270,9 @@
     "c_boundary": 83,
     "edge_density": 0.06666666666666667,
     "degree_density": 1.0,
-    "conductance": 0.5724137931034483
+    "conductance": 0.5724137931034483,
+    "mincut": 1,
+    "mincut_over_log10n": 0.6705281516444292
   },
   {
     "com_id": "1020",
@@ -231,7 +281,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1021",
@@ -240,7 +292,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1022",
@@ -249,7 +303,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1023",
@@ -258,7 +314,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1024",
@@ -267,7 +325,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1025",
@@ -276,7 +336,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1026",
@@ -285,7 +347,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1027",
@@ -294,7 +358,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1028",
@@ -303,7 +369,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1029",
@@ -312,7 +380,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "103",
@@ -321,7 +391,9 @@
     "c_boundary": 48,
     "edge_density": 0.05574912891986063,
     "degree_density": 1.1428571428571428,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 0.6160483210529383
   },
   {
     "com_id": "1030",
@@ -330,7 +402,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1031",
@@ -339,7 +413,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1032",
@@ -348,7 +424,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1033",
@@ -357,7 +435,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1034",
@@ -366,7 +446,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1035",
@@ -375,7 +457,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1036",
@@ -384,7 +468,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1037",
@@ -393,7 +479,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1038",
@@ -402,7 +490,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1039",
@@ -411,7 +501,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "104",
@@ -420,7 +512,9 @@
     "c_boundary": 70,
     "edge_density": 0.05555555555555555,
     "degree_density": 1.0,
-    "conductance": 0.4861111111111111
+    "conductance": 0.4861111111111111,
+    "mincut": 1,
+    "mincut_over_log10n": 0.6376730650484089
   },
   {
     "com_id": "1040",
@@ -429,7 +523,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1041",
@@ -438,7 +534,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1042",
@@ -447,7 +545,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1043",
@@ -456,7 +556,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1044",
@@ -465,7 +567,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
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   },
   {
     "com_id": "1045",
@@ -474,7 +578,9 @@
     "c_boundary": 1,
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     "degree_density": 0.5,
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   },
   {
     "com_id": "1046",
@@ -483,7 +589,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1047",
@@ -492,7 +600,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
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+    "conductance": 0.3333333333333333,
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+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1048",
@@ -501,7 +611,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
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+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1049",
@@ -510,7 +622,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "105",
@@ -519,7 +633,9 @@
     "c_boundary": 71,
     "edge_density": 0.07741935483870968,
     "degree_density": 1.1612903225806452,
-    "conductance": 0.4965034965034965
+    "conductance": 0.4965034965034965,
+    "mincut": 1,
+    "mincut_over_log10n": 0.6705281516444292
   },
   {
     "com_id": "1050",
@@ -528,7 +644,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1051",
@@ -537,7 +655,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "1052",
@@ -546,7 +666,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "106",
@@ -555,7 +677,9 @@
     "c_boundary": 41,
     "edge_density": 0.06882591093117409,
     "degree_density": 1.3076923076923077,
-    "conductance": 0.2867132867132867
+    "conductance": 0.2867132867132867,
+    "mincut": 1,
+    "mincut_over_log10n": 0.6285099898418801
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@@ -9006,7 +11006,9 @@
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@@ -9015,7 +11017,9 @@
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@@ -9024,7 +11028,9 @@
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@@ -9033,7 +11039,9 @@
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@@ -9042,7 +11050,9 @@
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     "degree_density": 0.6666666666666666,
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+    "conductance": 0.2,
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@@ -9051,7 +11061,9 @@
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     "degree_density": 0.6666666666666666,
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+    "conductance": 0.2,
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@@ -9060,7 +11072,9 @@
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@@ -9069,7 +11083,9 @@
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@@ -9078,7 +11094,9 @@
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     "degree_density": 1.2820512820512822,
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+    "conductance": 0.3333333333333333,
+    "mincut": 1,
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@@ -9087,7 +11105,9 @@
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@@ -9096,7 +11116,9 @@
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@@ -9105,7 +11127,9 @@
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@@ -9114,7 +11138,9 @@
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@@ -9123,7 +11149,9 @@
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@@ -9132,7 +11160,9 @@
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@@ -9141,7 +11171,9 @@
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@@ -9150,7 +11182,9 @@
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@@ -9159,7 +11193,9 @@
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@@ -9168,7 +11204,9 @@
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     "degree_density": 0.6666666666666666,
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@@ -9177,7 +11215,9 @@
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     "degree_density": 0.96875,
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@@ -9186,7 +11226,9 @@
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@@ -9195,7 +11237,9 @@
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@@ -9204,7 +11248,9 @@
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@@ -9213,7 +11259,9 @@
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@@ -9222,7 +11270,9 @@
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@@ -9231,7 +11281,9 @@
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@@ -9240,7 +11292,9 @@
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@@ -9249,7 +11303,9 @@
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@@ -9258,7 +11314,9 @@
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@@ -9267,7 +11325,9 @@
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@@ -9276,7 +11336,9 @@
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     "degree_density": 1.425,
-    "conductance": 0.2348993288590604
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+    "mincut": 1,
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@@ -9285,7 +11347,9 @@
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@@ -9294,7 +11358,9 @@
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@@ -9303,7 +11369,9 @@
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     "com_id": "983",
@@ -9312,7 +11380,9 @@
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     "degree_density": 0.5,
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     "com_id": "984",
@@ -9321,7 +11391,9 @@
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@@ -9330,7 +11402,9 @@
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     "com_id": "986",
@@ -9339,7 +11413,9 @@
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   {
     "com_id": "987",
@@ -9348,7 +11424,9 @@
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   {
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@@ -9357,7 +11435,9 @@
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@@ -9366,7 +11446,9 @@
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@@ -9375,7 +11457,9 @@
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     "degree_density": 1.3333333333333333,
-    "conductance": 0.6689655172413793
+    "conductance": 0.6689655172413793,
+    "mincut": 1,
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@@ -9384,7 +11468,9 @@
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@@ -9393,7 +11479,9 @@
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@@ -9402,7 +11490,9 @@
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@@ -9411,7 +11501,9 @@
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   {
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@@ -9420,7 +11512,9 @@
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   {
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@@ -9429,7 +11523,9 @@
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   {
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@@ -9438,7 +11534,9 @@
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   {
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@@ -9447,7 +11545,9 @@
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   {
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@@ -9456,7 +11556,9 @@
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   {
     "com_id": "999",
@@ -9465,6 +11567,8 @@
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-    "conductance": 0.5
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+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   }
 ]
\ No newline at end of file
-- 
cgit v1.2.3