This live blog is now closed.

• Graham’s death triggers a scramble to replace him – what happens next?

• US politicians and foreign leaders pay tribute to Graham

• Sign up for the Breaking News US email

Under South Carolina state law, governor Henry McMaster may appoint a temporary replacement to fill Graham’s now-vacant seat. As Graham was up for re-election this year and won the GOP primary last month, there is also now a vacancy in the Republican nomination for his seat.

After McMaster appoints a replacement, state law requires a special primary for voters to select a new nominee within weeks of a vacancy. The general election winner will take office in January, beginning a full six-year term.