What is it's relationship to the skinbyrd "Chelsea" style?
Check out Skinheads Shaved for Battle by Jack Moore. It gives an in depth history of skinheads, from the working class british males influenced by Jamaican ska music to the 80's skinheads, be it the neo-Nazi's, SHARPs, or anywhere in between.
The more extreme punk hairstyles were based on shock value, on ugliness. Please Kill Me speaks in depth about this. If you have the softcover at hand, page 329 goes into detail about the hair, safety pins, and spiked jackets.
The hair styles evolved from a non conformist mindset. Most punks in the late 70s and early 80s didn't fit in with their peers at school, so they fashioned a look and hairstyle that reflected this.
It's important to note that the mohawk was not part of the first wave of british punk ('70s), but became prominent in the second wave (early '80s).
The mohawk in the punk scene is commonly believed to be influenced by two movies: Travis Bickle's haircut in Taxi Driver (which was based on soldiers in Vietnam cutting their hair this way before entering the jungle - the hairstyle has been associated with warrior status for millenia) and Wez in Mad Max 2.
The first American punk to don a mohawk was Darby Crash (lead singer of the Germs) while visiting England.
The mohawk hairstyle does not have much in common with the "chelsea" hairstyle culturally, besides both having anti-hippie sentiments.
It's more of a critical theory text than a history, but Dick Hebdige's "Subculture: The Meaning of Style" would probably be an interesting read for you as it covers punk and pre-punk UK subcultural fashion.