yes, network topology does matter to design a network. as we know that topology is a structure of network. without a topology network cannot be designed. we have to consider which topology to use and what does each topology does. different topology have its different features. if you want most secure connection use full mesh topology
LAN based or a WAN based topology
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Topology
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star topology
A star topology is best for a classroom environment. This topology is easy to set up and manage, and it allows for easy expansion of the network. Additionally, it is less susceptible to network outages due to a single point of failure.
Mesh Topology... though if you use a beefy-enough machine in the middle, a Star topology might work.
Network mapper
The arrangement of computers on a network is called topology. It describes how the individual computers are connected to each other and to the network.examples of topology are Star topology, ring topology, mesh topology, bus topology.
star topogy
The conclusion of network topology is to ensure that the system is working as required. Topology refers to the physical wiring process in a network.