I'm going to slightly disagree with MabuyaQ here in that I'd urge caution with respect to carbon dosing. Many, many reefers have noticed an increase in cyano growth when first starting dosing with vinegar, vodka or biopellets. It's unclear why this might be, because MabuyaQ is correct that cyanobacteria are photosynthetic and therefore can make their own sugars. Nevertheless, the observation is consistent enough that I'd have a hard time dismissing it.
I will agree that it's helpful to have bacteria, corals and other life in the tank out-compete cyano for nutrients, trace elements, and the like. And his (or her) advice is probably sound for an established reef tank. But brand-new tanks generally always go through waves of "the uglies", from cyano to diatoms and/or true algal growth. After several months to a year, these problems typically disappear on their own as long as the tank's being well-maintained otherwise. And because nothing's in a steady-state in a new tank, you may have all sorts of things going on that could contribute to cyano growth - from nutrients leaching from (new) sand, to a bacterial base that's just getting built-up and sorting itself out as to the dominant species.
If the cyano's really bugging you, you can consider a 3-day tank blackout; it's really helped other reefers, though it must generally be absolute - lights off and black plastic taped around the tank sides. Having said that, it's unclear on a new tank whether the cyano would simply come back after the lights come back on. Similarly, chemiclean is typically very effective in the short term because it's largely erythromycin, and cyanobacteria is extremely sensitive to erythro. However, this may simply be "kicking the can down the road" because one the erythro is removed by skimming, water changes or carbon filtration, the conditions that allowed the cyano bloom may still be there.