"It was nice to get a win," Eriksson said. "We battled hard out there. It was not the prettiest game, but we'll take the two points and move forward."
Dallas' Derek Roy took a shot that was kicked in front of the net by Columbus goalie Sergei Bobrovsky. Eriksson fought through defenseman Adrian Aucoin and, while falling to the ice, got the puck on his stick and swept it past Bobrovsky's right pad.
Bobrovsky made 34 saves but could not prevent Columbus' ninth loss in its past 11 games. Dallas won for the second time in five games with 16 stops by Richard Bachman.
"It's never good, with 1:30 left, to get scored on, when you get close to the win," Dallas forward Antoine Roussel said. "But the boys stepped up good in the 4-on-4 in OT. And Loui got the winner -- it was a heck of a goal."
Dallas, which lost to the Nashville Predators, 5-4 in overtime on Monday, is 2-15-2 in the second game of its past 19 back-to-backs.
"It's always tough to lose the lead. The last game we played, we lost the lead (4-2) and lost the game," Eriksson said. "Tonight we found a way to win the game."
Dallas was playing its first game without its leading scorer, forward Michael Ryder, who earlier Tuesday was traded to the Montreal Canadiens for forward Erik Cole. Each player has to pass a physical Wednesday before joining his new team.
Nine of Columbus' 12 losses, including four in a row and five of six, are by one goal.
"We've been in a lot of one-goal games recently," Umberger said. "We have to get over that hump. You gotta be the team that scores first."
The see-saw scoring started with Brenden Morrow's goal for the Stars 15 minutes into the game.
Dallas forward Cody Eakin came up the left wing around Columbus forward Matt Calvert. Morrow was heading toward the net, defended by John Moore, when Eakin's pass hit Morrow's skate and went in. The goal was upheld by video review.
After being outshot 14-5 in the first period, the Blue Jackets quickly tied the game in the second. Mark Letestu won a faceoff back to Fedor Tyutin at the left point, and Tyutin sent the puck across to Nikita Nikitin, whose one-timer beat Bachman cleanly at 1:21.
"We have to be better, and I think we came out with more energy [in the second period]," Columbus forward Derek Dorsett said. "Just ... fell short."
Dallas took a 2-1 lead at 5:28 when a shot from the point ricocheted off Columbus defenseman Tim Erixon right to Roy, whose first attempt was stopped by Bobrovsky. Roy was able to sneak the rebound past the goalie.
The Blue Jackets needed less than a minute to tie it again. Dorsett's first attempt was denied by Bachman's left pad, but Dorsett lifted the rebound over the pad at 6:19 to even it 2-2.
Dallas retook the lead on a goal by Roussel at 8:51 of the second when he was able to deflect a wrist shot from the point by teammate Brenden Dillon past Bobrovsky.
Columbus needed 6:16 of the third period to tie it at 3-3. A shot from the right-wing boards by Aucoin deflected off a Dallas player right to wide-open Cam Atkinson near the left post, and he lifted a shot over Bachman.
Eakin gave the Stars a 4-3 lead when he came across the blue line up the right wing and took a wrist shot from above the circle that squeezed through Bobrovsky's pads and trickled across the goal line at 13:36.
Columbus played without its top two defensemen. James Wisniewski was revealed to have a broken foot that will sideline him long term, joining Jack Johnson (upper body), as well as forwards Brandon Dubinsky (knee) and Artem Anisimov (concussion) as a scratch.
The Blue Jackets also lost forward Derick Brassard to an upper-body injury in the second period.
Material from team media was used in this report.