When I saw that I was 39 degrees away from Antoine de Saint-Exupéry in today's WikiTree Family News I was a bit surprised (most of my connections are in the mid 20s). So I decided to give a look and actually Antoine is on average 43.21 degrees away from the average WikiTree profile (on the main tree).
I have recently been doing some graph analysis of the Wikitree connection graph. One of the things I've looked into most is how "central" a person is to the Wikitree main global tree. I measure this by the average (mean) distance to all other people in the tree by the same connections used in the connection finder (child/parent, spouse, sibling).
To give a bit of context here, here are the average distances to some other famous folks:
And in fact, digging in a little more, I see that Antoine is very narrowly connected to the main Tree. There are series of 29 connections from Antoine de Saint-Exupéry to Pauline Bonaparte where if any one of them were cut, Antoine would not be connected to the main tree, almost all connections go through these people.
To see this, look at the average distance from each of these people below. It starts with Antoine and each subsequent line is the person connected to the last person who has the smallest average distance. As you can see, that average distance goes down by almost 1 each step until Bonaparte-11 (Pauline Bonaparte) indicating that each person before that had almost 100% of connections going through them:
Saint-Exupéry-1 43.2145514495
Saint-Exupéry-2 42.2145532948
Saint-Exupéry-5 41.2145558199
Saint-Exupéry-6 40.2145589278
Quatrebarbes-2 39.2145624241
Quatrebarbes-3 38.2145662118
Quatrebarbes-4 37.214570388
Quatrebarbes-5 36.2145750498
Quatrebarbes-8 35.2145810712
Quatrebarbes-10 34.2145882581
Quatrebarbes-11 33.2145963191
Chevallier-Chantepie-3 32.2146052542
De Gaulle-8 31.2146143835
De Gaulle-1 30.2146303113
De Gaulle-2 29.2146509008
De Gaulle-9 28.2146726558
Bidauld-2 27.2146950906
Lami-14 26.2147178167
Lami-15 25.2147408343
Borghese-3 24.2147645316
Borghese-4 23.2155929685
Bonaparte-11 22.2159523139
Bonaparte-30 21.6475706308
Murat-9 21.188609139
Willis-5459 20.476588161
Willis-1442 19.6930025737
Willis-1050 19.0155785947
Willis-1049 18.7825173603
Lewis-3843 18.4671508765
Lewis-2595 18.4211808867