If they are allowed to date they are generally only allowed to date other Indians who either are family friends, same last name, same village, same religion, or some type of doctor. This all is just coming from what I've experienced.I'm a white male who has just until recently been dating an Indian female for about a year, but our relationship has now ended because she is completely terrified of her father finding out.Dating as we Westerners think of it, involves trial and error.Our parents and our society encourage singles to go out with a number of different people.
However, in Western society, we also are free to choose our dating partners.
While arranged marriages are still common in India, love marriages have gained in popularity.
However, dating in India is for the purpose of "getting to know" your future husband.
The answer to your question is not a simple yes or no, but rather some Indian men will date a single parent and some won't date a woman who is a single parent.
This holds true for dating outside of the Indian culture.
Since dating is not a customary practice in India, you may discover that Indian men are not as savvy in the dating practices as those cultures where dating in encouraged.