A power grid is to be created in a city. There are several buildings and there are paired connections between the buildings. Not every building is connected to every other building. In particular, there may be buildings that are not connected to any other building. Based on the mentioned connections, a power grid is to be designed now. Thereby starting from a given building (the electricity factory), so that as many buildings as possible are in the network. as many buildings as possible are in the network. A power cable can be laid only between connected buildings and there will be exactly one power cable is needed for a connection between two buildings. A building is in the power grid if it can be reached from the power factory by one or more power cables. Specify an algorithm in pseudo code that, given buildings and connections, calculates a power grid that satisfies the above properties with as few power cables as possible. Determine the running time of your algorithm and give a justification for its correctness.
Hey,
A power grid is to be created in a city. There are several buildings and there are paired
connections between the buildings. Not every building is connected to every other building.
In particular, there may be buildings that are not connected to any other building.
Based on the mentioned connections, a power grid is to be designed now. Thereby
starting from a given building (the electricity factory), so that as many buildings as possible are in the network.
as many buildings as possible are in the network.
A power cable can be laid only between connected buildings and there will be exactly
one power cable is needed for a connection between two buildings. A building is in the
power grid if it can be reached from the power factory by one or more power cables.
Specify an algorithm in pseudo code that, given buildings and connections, calculates a power grid
that satisfies the above properties with as few power cables as possible.
Determine the running time of your algorithm and give a justification for its correctness.
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