LOS ANGELES (AP) — Thousands of central and Southern California grocery workers have voted to authorize their union to call a strike against several major supermarket chains.

About 47,000 workers at more than 500 Ralphs, Albertsons, Vons and Pavilions stores started voting last week and the results were announced Sunday.

No strike date was immediately set and negotiations resume on Wednesday.

The possible walkout would involve grocery clerks, meat cutters and other employees represented by seven locals of the United Food and Commercial Workers.

Albertsons Companies said in a statement that the company remains committed to negotiating a contract that is fair to all parties.

Ralphs didn’t immediately respond Sunday to a request for comment.