Style is everything. Well, not quite. Frags make up a fair part of any first person shooter, and TS is no exception. The difference here though, is that style is everything when it comes to getting a respectable score. Below you will see a table detailing the various multipliers you can achieve through using different moves and weapons. Explanations to follow:
KILL TYPE / FRAGS
Basic Frags: Firearms = 1 frags Kung-Fu = 2 frags Knife = 2 frags Katana = 2 frags Special Frags: Stunt Frag = +2 frags Sliding Frag = +1 frags Double Frag = 2x Second Frag Killing The Specialist = +5 frags Kills Whilst The Specialist = 2x All Frags
Fairly self-explanatory, any kill made whilst using a firearm, blade or kung-fu.
Any kill made whilst still in the air having performed a dive or a flip.
Any kill made whilst sliding across the ground.
Awarded when you kill two players directly after one another (i.e. within a second or so). Doing this will multiply the second frag by 2. This means a diving doublekill with a pistol would be worth 9 frags (first frag 3, second frag 3×2).
Examples
A diving kill with a gun will net you 3 Frags (1 for killing with a firearm and +2 because you’re diving).
A diving Katana kill while you’re The Specialist will get you 8 frags (2 for killing with the Katana, plus 2 because you are diving, all multiplied by 2 because you’re The Specialist.)
Killer, Demolition Man & The Specialist
As you become more adept, you may notice you are more frequently honoured with titles being bestowed upon you at the top of the screen: These are obtained by fragging specific numbers of your foes without being killed yourself. It breaks down as follows:

3 kills = Killer

6 kills = Demolition Man

9 kills The Specialist

10+ kills Unstoppable
Becoming the Killer or Demolition carries with it nothing but a certain level of kudos, but reaching the level of The Specialist carries with it very real benefits.
Becoming The Specialist
In order to achieve this much-coveted title, you must kill 9 people without dying. From this point, you become Unstoppable, and all of your subsequent frags will double in value. For example; A standard kill would give you 2 frags, a stunt kill with a pistol would give you 6, and a diving knife kill would give you 10.
This scoring system makes becoming The Specialist a very worthwhile undertaking. Bear in mind though, that other players can gain at least 6 frags from killing The Specialist, so you’ll more than likely have a few people specifically gunning for you.