(ShareCast News) - Two non-executive directors at oil and gas giant BP will not be seeking re-election at the company's annual general meeting scheduled in April.In a statement to the London Stock Exchange on Thursday, BP said veteran Antony Burgmans will be stepping down following 12 years of service on the company's board.Additionally, fellow non-executive director Phuthuma Nhleko, who has served on the BP board for five years, will also not be seeking re-election.BP said Nhleko is standing down in order to concentrate on other business commitments.At 1511 GMT, BP shares were up 1.37% or 4.60p to 339.60p