Count number of connections in each network using DAX - filter

Question

I have a dataset like this in Power BI with connections between "Participant ID" Column and "Knows Participant":
Participant ID
Knows Participant
111
353
111
777
111
112
111
249
112
143
112
144
113
111
113
244
114
NaN
115
113
...
...
777
111
777
398
777
114
778
NaN
779
112
3499
NaN
I've build Network chart. However, there are a lot of 1-1 connections that are not very useful for visualization, so I want to exclude them (see image):
Is it possible to count a number of connections in each network using DAX and then use this value to filter out all nodes with only 1 connection (red circled)? Or maybe filter out 1 connection nodes using another approach?
I've tried to make a calculated column using DAX:
Connection Column = COUNTROWS(
FILTER(Table,
EARLIER(Table[Knows Participant])=Table[Knows Participant])
)
However, it only shows duplicate values in "Knows Participant" Column, but not number of connections in each network.
Example of desired output:
Participant ID
Knows Participant
Number of Connections in the Network
111
353
4
353
444
4
444
551
4
551
987
4
112
143
1
220
190
1
333
337
2
337
410
2
765
0

Answer 1

You need the PATH functions as you're essentially trying to flatten a hierarchy and then exclude certain parts of it. The following help page gives a good rundown of the approach to take.
https://learn.microsoft.com/en-us/dax/understanding-functions-for-parent-child-hierarchies-in-dax

Answer 2

You can add a column to the table with a measure like this:
VAR pIdLinksCount = CALCULATE(COUNTROWS(tbl), ALL('tbl'[Knows Participant]))
VAR neighbourLinksCount =
IF(
pIdLinksCount=1
, -- if pIdLinksCount=1 then count neighbour links
VAR neighbourId =
CALCULATETABLE(
Values('tbl'[Knows Participant])
)
RETURN
CALCULATE(
COUNTROWS(tbl)
,ALL() -- removes all filters from data model
,'tbl'[Participant ID] = neighbourId -- applies filter to [Participant ID] column
--,'tbl'[Participant ID] IN neighbourId -- alternatively try this. I believe it is not necessary
)
,2 -- returns 2 if pIdLinksCount>1.
-- The "value = 2" will return "result > 3 = TRUE()"
)
VAR result = pIdLinksCount + neighbourLinksCount
RETURN
IF(
result>2
,1
,0
)
The idea is to check a neighbor too - if it has more then 1 link