In India, the Vice-President shall submit his resignation to the President. But my question is:
In the absence of the President, the Vice-President shall submit his resignation to____?
In the event of the occurrence of any vacancy in the office of the President by reason of his death, resignation or removal, or otherwise, the Vice-President shall act as President until the date on which a new President elected in accordance with the provisions of this Chapter to fill such vacancy enters upon his office
and (Art 67)
a Vice-President may, by writing under his hand addressed to the President, resign his office;
It does not require that the president be named, nor does it require that the resignation actually be delivered to the president. The VP a.k.a. acting President can notify himself of his resignation, since he functions completely as the president. The houses of parliament might elect a new vice president between resignations.