In a star topology, all devices connect through a central device like a switch or hub. If this central device fails, none of the devices can communicate because the central device manages all data traffic.
In a bus topology, all devices share a single communication line called the bus. Data travels along this cable to all devices.
Mesh topology connects devices with multiple paths, so if one link fails, data can take another path. Ring topology relies on a single path around the ring, so a break can disrupt communication unless special mechanisms are used.
Star topology is popular in small offices because each device connects to a central hub, making it easy to isolate problems and add or remove devices without affecting the whole network.
In a fully connected mesh, the number of connections is calculated by n(n-1)/2, where n is the number of devices. For 5 devices: 5*4/2 = 10 connections. Adding one device (6 devices): 6*5/2 = 15 connections.