How to extract just domain names from urls?

I have a following list of URLs:

urls = ["http://arxiv.org/pdf/1611.08097", "https://doi.org/10.1109/tkde.2016.2598561", "https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85116544648&origin=inward"]

from each element of the list, I am trying to extract just the domain names like: arxiv, doi, scopus.

For that I have a code:

import re

for url in urls:
    print(re.search('https?://([A-Za-z_0-9.-]+).*', url).group(1))

The output of print:

arxiv.org
doi.org
www.scopus.com

How can I modify the above regex to extract just the domain and no other stuff like www., .com, .org etc?

Thanks in advance.

>Solution :

You can remove the dot from the character class and make www. optional. The value is in capture group 1.

https?://(?:www\.)?([A-Za-z_0-9-]+)

Regex demo