Which topology has all its nodes connected directly to one center point and has no other connections between nodes?

The topology you are describing is known as a star topology. In this configuration, all nodes are directly connected to a central hub or switch, which serves as the main point of communication. There are no direct connections between the nodes themselves, meaning any data transmitted must pass through the central hub. This design simplifies troubleshooting and management, but if the central hub fails, the entire network goes down.