Waiver of notice period by the employer - company liable to pay full month salary?

I need to ask that if an employee has served 1 month notice period while resigning but the employer wants to relieve him/her before the time then will the company be liable to pay his full month salary of notice period or till the relieving date only? Also what are the rules to be followed strictly by the employee in the month of notice period .

What is written in offer letter/appointment letter?
If notice period is one month from either side or one month pay, then accordingly payment or one month service has to be done.
during notice period, employee is expected to transfer knowledge to appointed person, hand over all company property-Lap top, mobiles etc to company under official receipt.
Create a documentary record of what all is handed over and record of knowledge transferred as relevant to job being done by employee.

If the employer wants to relieve the emloyee beforehand without completion of notice period, then the employee is to be paid proportionately for the balance notice period left. So there is no need to pay for any period beyond the end of the notice period at the instance of the employee.
As regards the rules to be followed strictly by the employee in the month of notice period, Nathrao Sir has given clear guideline pl. follow it..

Dear Friend,
This is very simple, your company has to pay till the date of last working[the date of resignation].
You are not amounting to any obiligation, since workmen is leaving job of his own accord. In the instant case, it is your company's prerogative to release him with or without notice. The payment of notice falls in company, where company wants to terminate instantly by paying the notice period amount. Hope this will clarify your doubts.