Chelsea defender Luiz was red-carded three minutes from the end of the derby at Stamford Bridge for a challenge on Sead Kolasinac.
The Gunners were roundly beaten 4-0 at Liverpool before the recent global break and showed none of the commitment, guile or ability that was on show here.
Germany global Mesut Ozil has been left out of the match-day squad altogether after suffering with a minor injury, while Alexis Sanchez drops to the bench.
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Chelsea will be more frustrated by the result given how they have played in recent weeks but it could still prove a vital point later in the campaign.
Chelsea - the Premier League champions - have been ticking over nicely since their opening weekend defeat at home to Burnley.
But Wenger's men put in a confident performance and had the better chances.
Arsenal last won a Premier League away game against a side that finished in the top six last season, back in January 2015 (2-0 at Man City) - they've since lost eight and drawn five of their 13 matches on the road against these clubs. "I hope to solve this situation, otherwise it will be a problem for me!" said Conte, who could hand a first start of the season to Eden Hazard following his recovery from ankle surgery. In the three games between the sides last season, Arsenal came out on top, having beaten Chelsea once in the league and in the FA Cup Final. "But he will be of course with us at Chelsea", Wenger added about Sanchez".