Really? The link was already provided by you.
London murder rate overtakes New York's - BBC News
"So far in 2018, the Met Police has investigated 46 murders, compared with 50 in the US city."
But look
London murder rate 2018 - how many murders have there been so far & which city has the world'''s highest murder rate?
19 Dec 2018
"London's murder rate has overtaken New York's for the first time, with the Met Police launching 130 investigations in 2018"
So, in the first three months there were 46 murders in London. Then there were 130 in the whole year. So, that's 84 from April to the middle of December. 15 murders per month more or less during the year.
New York City Murders on the Rise in 2018, NYPD Data Shows - WSJ
"The city recorded 147 murders between Jan. 1 and June 30"
So, by the end of June, New York City would have more murders than London would have up to December 19th.
List of United States cities by crime rate - Wikipedia
New York here has a murder rate of 3.39, only San Jose and San Diego in California have a murder rate lower of cities with 1 million people. LA with a population half the size has a murder rate of 7.01, Chicago of 2.7 million has 24.13.
How dangerous is your Borough? 20+ London crime statistics 2019
London's crime rate is increasing, hardly surprising seeing the cuts the Tories have put in place. They're literally demanding the police police the city and country without enough resources, and they've taken away programs like sport (around the Olympics in 2012) that helped keep kids off the streets.
"The number of knife crimes peaked in 2011/12 with over 14,000 incidents. This number fell from here down to a recent low of 9,700 in 2014/15.
Since then, knife crime in the capital has been on the rise, reaching 14,700 in 2017/18 – the highest levels in over 10 years. Find out below which boroughs have the highest count of knife crimes:"