As per my understanding, directories in Linux do not have more than 1 hard links associated with them.
I am running a WSL Ubuntu in Windows, and if I type command ll command in one of the directories, I can see that one of the sub- directory has 5 hard links associated with it.
drwxr-xr-x 5 userK userK 4096 Feb 16 14:15 metastore_db/
In fact, a lot of directories have more than 1 hard links:
userK@C11-J21P22A8R0I:~/spark-3.5.0-bin-hadoop3$ ll
drwxr-xr-x 14 userK userK 4096 Feb 9 09:27 ./
drwxr-x--- 24 userK userK 4096 Feb 19 22:27 ../
-rw-r--r-- 1 userK userK 22916 Sep 9 04:08 LICENSE
-rw-r--r-- 1 userK userK 57842 Sep 9 04:08 NOTICE
drwxr-xr-x 4 userK userK 4096 Sep 9 04:08 kubernetes/
drwxr-xr-x 2 userK userK 4096 Sep 9 04:08 licenses/
drwxr-xr-x 9 userK userK 4096 Sep 9 04:08 python/
drwxr-xr-x 2 userK userK 4096 Sep 9 04:08 sbin/
drwxr-xr-x 2 userK userK 4096 Sep 9 04:08 yarn/
Why these directories have more than 1 hard link?
The number of hard links for a directory can more than 2 if the directory has sub-directories. Each sub-directory adds an additional hard link to the parent directory.
parent/
└── dir
├── sub1
├── sub2
└── sub3
5 directories, 0 files
ls -ld parent/dir
drwxr-xr-x 5 user user 4096 Feb 21 20:26 parent/dir
Here, dir has a link count of 5: the dir entry in /parent, the . entry in /parent/dir, and the .. entry in each of /parent/dir/sub1, /parent/dir/sub2, and /parent/dir/sub3.