Police are appealing for information after two lone women were stabbed in potentially linked incidents in Wapping.
Two women, aged 38 and 26, were attacked in two separate incidents over the past 15 days.
Police say the similarities in the attacks suggests it might be the same man.
Anybody with information should call Tower Hamlets Police on 101 or, to remain anonymous, Crimestoppers on 0800 555 111.
More top news
"I do not accept the allegation that I have brought the Labour Party into disrepute", said Livingstone.
Family and friends of the victims of Grenfell Tower have been paying tribute to those who perished in the disaster.
The balmy conditions have swept in on a high pressure system, dragging in hot air from the continent, according to the Met Office.