Imagine you are the network administrator of University X having ? campuses in Towson, Maryland. You want to build a connected network of servers (each server is either a regular or a routing one), one at each campus, and want to choose some of them to be the designated routing servers. A routing server will serve regular servers who connect directly to it via high speed cables, and every regular server must connect to at least one routing server. Your goal is to minimize the total length of high speed cable that you must purchase. Given the geographic locations of the ? campuses, design a plan that requires (1) the shortest length of cable and (2) the least number of routing servers. Analyze the time and space complexity of your procedure.
Imagine you are the network administrator of University X having ? campuses in Towson, Maryland. You
want to build a connected network of servers (each server is either a regular or a routing one), one at each campus,
and want to choose some of them to be the designated routing servers. A routing server will serve regular servers who
connect directly to it via high speed cables, and every regular server must connect to at least one routing server. Your
goal is to minimize the total length of high speed cable that you must purchase. Given the geographic locations of
the ? campuses, design a plan that requires (1) the shortest length of cable and (2) the least number of routing servers.
Analyze the time and space complexity of your procedure.
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