> Is there any known number of DS18.20 (or length of cat5e cable) that will
> work without any problems in a tree like network? 

As a rule of thumb, I once worked out/said: 100 meters (total line
length) and 20 sensors as fully save.
Using a DS9490 (DS2490 chip).
More is surely possible, using DS18x20 parasitic much more but depending
on the setup, topology, ...

Michael

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