There is no need of an external pull-up resistor, please see description here:
The DS2482-100 is a self-timed 1-Wire master that supports advanced 1-Wire waveform features including standard and overdrive speeds, active pullup, and strong pullup for power delivery. The active pullup affects rising edges on the 1-Wire side. The strong pullup function uses the same pullup transistor as the active pullup, but with a different control algorithm. In addition, the strong pullup activates the PCTLZ pin, controlling optional external circuitry to deliver additional power beyond the capabilities of the on-chip pullup transistor.
There is an internal transistor that will pullup the line when needed.