Sadiq Khan has offered his condolences to the family of murdered schoolteacher Sabina Nessa and renewed calls for members of the public to come forward with information about the incident.
The Met and the Mayor have also announced high-visibility patrols in Greenwich and Lewisham in response to the murder.
This comes as a number of local and national authorities respond to the schoolteacher’s murder with promises of increased security measures.
The Mayor of London tweeted: “Women and girls deserve to feel safe at all times, in every part of our city, and I remain committed and determined to making our city safer.
“Highly visible police patrols are expected in Lewisham and Greenwich as @MetPoliceUK do everything they can to keep people safe.”
A Greenwich Council spokesperson said it was working with the police to bring the perpetrator of “this horrific crime” to justice.
Over the next few weeks, council enforcement officers will be conducting extra high-visibility patrols across the borough with the Met.
They added: “This year, we began developing a new women’s public safety plan to improve how we understand and tackle the causes and consequences of violence against women.
“Some existing council funding has been used to support this work and we are waiting to hear the result of further external grants.”
Denise Scott-McDonald, deputy leader of the Greenwich Council, added: “We are appalled by the senseless murder of Sabina, a much-loved teacher who was killed while simply walking home through a park.
“This brutal and terrible attack reminds us why tackling violence against all women needs to be at the top of everyone’s agenda.”
Jackie Smith, cabinet member for community safety and enforcement, said the council was “doing everything [it] can” to keep residents safe following the “horrific crime”.
“Alongside many other projects including our integrated enforcement work with the police and a programme tackling the perpetrators of domestic abuse, we have also made a big investment to upgrade our existing CCTV system over the next few years,” she said.
“Old cameras have been replaced by new digital ones which now offer much clearer pictures, especially at night.
“This investment will help our staff and the emergency services to identify, respond, and resolve crime more effectively, and ultimately keep you safer.”
No one has yet been charged with Sabina’s death.