The first three rounds of the World Women's Chess Rapid Championship 2012 being held in Batumi were completed on Thursday. The strong competition includes top seed Anna Muzychuk, European women's chess champion Valentina Gunina, women's world chess championship finalist Koneru Humpy, European women's chess silver medalist Tatiana Kosintseva, former women's world chess champions Antoaneta Stefanova and Alexandra Kosteniuk, US women's chess champion Irina Krush, and Armenia's leading player Elina Danielian.