A computer network in a domestic setting is called a home network. It usually smaller than an office network, just connecting two or three computers and a modem/router.

When an Ethernet or wireless network is installed in the home it's called a Home Network. It's exactly the same technology as an office network, but usually a lot smaller in scale and traffic.

There may be special problems in the home where wires have to be fitted into existing spaces rather than fitted as part of the office infrastructure.

Home networking on Wikipedia