I have often wondered about this myself. A ratio is generally expressed as 1:100, not 1+100, but they are quite often used interchangeably when one speaks of developers. Are they the same? Semantically, I would suspect that 1+100 means literally 1 part developer and 100 part water, or a volume of 606ml in your example.
Dilution, on the other hand, can be figured this way:
"aliquot" is the developer in this description.
"diluent" is the water in this description.
"dilution factor" is the ratio you are trying to understand, expressed as 1:100 in our terms.
To prepare a 600ml solution at a dilution factor of 1:100, the math would look like this:
1) Find out how much aliquot you need: 600ml / 100 = 6ml
2) Subtract the aliquot from the total volume you want: 600ml - 6ml = 594ml
3) Fill your container with 594ml of water and 6ml of Rodinal.
You now have a 1:100 dilution.
Is this the same as 1+100? No, but as others have said, at that dilution, the difference may well be covered by minor changes in development such as time, temperature, or agitation, even if it would be appreciable otherwise.
I have noted in several places that Agfa generally expressed their dilutions as x parts plus y parts (x+y) rather than as a ratio (x:y). I don't know why.