Thepapers inthis volumewereselectedfor presentationatthe 4thInternational FrontiersofAlgorithmicsWorkshop(FAW2010), heldduringAugust11-13,2010 at Wuhan University, Wuhan, China. Previous meetings of this workshop were held in Lanzhou (2007), Changsha (2008), and Hefei (2009). In response to the Call-for-Papers, 57 extended abstracts were submitted from 12 countries and regions, of which 28 were accepted. The submitted papers were from China, France, Hong Kong, India, Israel, Italy, Japan, Republic of Korea, Lebanon, The Netherlands, Taiwan, and USA....