Khan, who became the first Muslim to head a major Western capital after his victory in 2016, saw off his main challenger, Shaun Bailey, the candidate from Prime Minister Boris Johnson's Conservative Party.
With no roof over their heads and no food to sustain themselves, the homeless around the world are one of the most vulnerable groups in light of the global pandemic.
Johnson will formally take over as prime minister on Wednesday afternoon, succeeding Theresa May, who stepped down over her failure to get parliament to ratify her Brexit deal.
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