I think searching a single Star is easier than search within 5 times as much planets.
Alpha Quadrant
-> Sun1 - you can only change the name if you control all planets around it.
-> -> Planet 1
-> -> Planet 2
-> -> Planet 3
-> -> Planet 4
AlphaQ.Sun1.Planet1 can attack AlphaQ.Sun1.Planet1 without wormhole.
To interact with AlphaQ.Sun2.PlanetX you need a wormhole.
To interact with BetaQ.SunX.PlanetX you need a more expensive thing like a jump gate.
( JumpGates should only jump over 3 links - or one link to another Quadrant )
If you control more than 50% of all planets in a Quadrant, then you get 10% of all money from other clans income.