Step 1: Remove the core from the cabbage and slice it as thinly as possible (a mandoline works well for this).
Step 2: Melt the butter in a large skillet over medium heat. Add the cabbage, season with salt and sauté until soft, 5 to 6 minutes. Add the vinegar and sugar and continue cooking, stirring frequently, until all the liquid has evaporated, 3 to 4 minutes longer. Add pepper. Transfer to a bowl and set aside.
Step 3: In a separate bowl, combine the mayonnaise, chili sauce and dill relish, add pepper. Cover and refrigerate until ready to use.
Step 4: Preheat a gas or charcoal grill to medium heat. Score the hot dogs at 1-inch intervals on 2 opposite sides. Oil the grill grates, add the hot dogs and cook for 7 to 10 minutes, turning them frequently with tongs as they cook.
Step 5: Place the hot dogs in toasted buns, top with the mock sauerkraut and Thousand Island spread.
Step 6: Serve & enjoy!
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