Voltages for connecting ds18b20 to Edison breakout board
The DS18B20 can operate at 3V as well ( it is the minimum supply voltage, while 5.5V is the max supply voltage ). Table 28  also lists 3.3V as a I/O voltage. So power the DS18B20 from 3.3V and you will not need any voltage translation between the Edison and 1-Wire bus. And yes, you can use provided hookup diagram