The Giants announced the moves on Saturday, a day before their game with the Dallas Cowboys.
Anderson was added to the Giants active roster last weekend and played on special team against the 49ers. He was waived on Monday when offensive lineman Geoff Schwartz was activated off injured reserve and re-signed to the practice squad.
Brown, who was inactive for six of the first nine games, played poorly last week after replacing an injured Justin Pugh at right tackle.
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