The quick answer is "no".
Each anti-virus vendor examines the malware samples they find, determines a detectable "signature" for each, and creates a name for the malware. Malware names are often derived by the examiner who is looking at the unique text strings contained within the malware. Every few days they send an update to their paying clients with the new signatures and labels.
The anti-virus vendors don't often cooperate with each other because they're in competition. If my WowAV!! product detects 1,000,000 viruses, that's a reason I can market to people why they should buy my product over the competition, YawnAV, which only detects 900,000 viruses. So they don't share names, they don't share signatures, they don't share analysis.