Nicola Edgington has been found guilty of the murder of grandmother Sally Hodkin and the attempted murder of another woman, Kerry Clark in a knife attacks in Bexleyheath in 2011.
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The 24-year-old was unarmed and the incident is not being treated as terror-related.
Some platforms have been taken out of service with disruption expected to continue until the end of the day.
The Met Office has extended its weather warnings for snow and ice to cover vast swathes of the country, including London and the South East.