Hello JA Customer,
Basically by changing the title of the home to your name, the IRS views this as a gift you have received. The information given to you is correct that you would owe no tax on such a transaction. However, there may still be some reporting requirements depending on the value of the home.
I assume that your father is not a US citizen. If that is the case, and if the value of the home he is signing over to you is more than $100,000 USD, then you would need to file Form 3520 with the IRS to report the value of the gift given to you. There is no tax due with this form, but it is a reporting requirement of US citizens and residents, any time that they receive a foreign gift or inheritance which exceeds the amount of $100,000 USD in one year.
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Thank you JA Customer