The Isles have 3 wins and 1 tie in their last four games in Edmonton since losing to the Oilers 1-0 on January 31, 1997. (Curtis Joseph had a shutout in that game)
Overall, the Isles have won their last six games against Edmonton, including a shootout win in their most recent meeting (December 10 2005 at the Coliseum). In that 2005 game, Chris Pronger's pp goal with 1:05 to play necessitated overtime and the shootout. After Rick DiPietro stopped Smyth in the fourth round of the shootout, Trent Hunter beat Jussi Markanen for the winning goal.
The six game win streak equals the longest the Isles ever have had in regular season play vs Edmonton (originally set Oct 8, 1982 - Feb 7 1984). (That steak actually was 10 games, if you include the 1983 Finals)
The Oilers' last win over the Isles came on December 14, 1999, 4-2 at the Coliseum. Every other NHL team has beaten the Islanders at least once since the Oilers last did so.