Neither of the above are any use to this question - the first one is about notice to be given by an employer, the second one is a general website about notice periods but contains nothing about this question.
Since there appears to be a growing habit of attaching random links, here's one from me.
http://shihtzucentral.com/
It is not true that you need to abide by the payment periods of your employer - if you are required to give one week's notice you can decide on what day you leave.
If you have pre-booked holiday before you resigned, there is nothing to stop you continuing to take that day as part of your notice period.
However, whilst you are within your rights, it may be wise to consider the relationship under which you wish to leave your current employer - are you likely to require a reference from them - in which case it may be sensible to consider a little flexibility on your part?