Are these Vodder lounge / easy chairs???  

no 100%
positive but think the fist one may be Heywood Wakefield

Ok
Would heywood wakefield have used fagas straps.

I had a chair
With the identical arm rests. I am pretty sure the straps were made of some type of fabric like the webbing on the knoll chairs

No joke here, but the first l...
No joke here, but the first lounge chair was actually made by a company based in New York called "Frank & Son"
It originally had canvas/fabric based suspension straps that looped through the cut-outs. The notches should go all the way through, unlike the fagas type that used a shallow (usually angled) notch. I believe they made this chair in oak (yours), pecan and walnut (stained).

I've seen
a couple of Danish-made chairs with webbing slots like those. The webbing was Pirelli-type (tan rubber with fiber reinforcement) with sewn casements on the ends. The ends are fed through the slots and a small metal or wood dowel is inserted into the casing to keep it from pulling back out of the slot in the chair frame.
It's a very neat, polished look.