As I am a fairly nice guy (most of the time) I really don\'t PvP much. But I still came up with some basic classifications to the type of warfare or other type of PvP there might be.
Duel: Fairly straightforward, two ships or equal strength are pitted against each other in a gentlemanly matter, usually between two people, can occasionally involve a faction or fleet duel if nessecary. this is my favorite as the bloodbath is limited, fight is controlled, and is a great occasion for combat testing.
Faction combat: ranging from a random crossing of two rivals paths to a head to head fleet battle, there is much to be said about this. Generally close to a duel is some respects, many faction battles are organized and planned ahead of time. Faction battles involving more than three ships per faction are few and far between, but epic to watch.
Raids: Generally just taking a modified freighter with some guns and salvage lasers to go and hunt down and destroy an enemy faction\'s resources and ships. Has some very server specific rules, generally done whilst an opponent is offline but makes it a bit more fun when they are online and try to fight back.
Greifing: senseless or purposeless destruction of ships or resources. This can range from destroying a ship because it exists and not salvaging it, or base hopping for a ship to be left out. This activity usually ruins gameplay and is often outlawed on servers.
Trolling: seperate from griefing because it is often much more severe and is definitely outlawed on almost every server. Fairly obvious ones are: spawn camping, base surrounding, excessive ai ships, and the all famous ship-to-planet intercourse (basically ramming a large ship into a planet at high speeds).
These are just the ones that came of the top of my head. I can add more later.