BARBECUED PORK BURGERS WITH SLAW

Steps:

• Prepare grill for direct-heat cooking over medium-hot charcoal (medium heat for gas).
• Thinly slice enough cabbage with slicer to measure 2 cups. Whisk together mayonnaise, milk, and 1 1/2 teaspoons vinegar until smooth, then toss with cabbage, carrots, chives, and salt and pepper to taste. Let coleslaw stand at room temperature, uncovered, while making burgers.
• Stir together barbecue sauce, cayenne, 1/4 teaspoon salt, and remaining tablespoon vinegar until combined well.
• Mix together pork, 1/2 teaspoon salt, 1/4 teaspoon pepper, and 2 tablespoons barbecue sauce mixture until combined (do not overmix), then form into 4 (3/4-inch-thick) burgers (4 inches in diameter).
• Oil grill rack, then grill patties, covered only if using a gas grill, turning over occasionally, until just cooked through, about 6 minutes total. Brush top of each patty with 1 tablespoon barbecue sauce mixture, then turn over and grill 30 seconds. Brush top of each patty with 1 tablespoon barbecue sauce, then turn over and grill 30 seconds more.
• Brush cut sides of rolls with remaining 1/4 cup barbecue sauce, then sandwich patties and coleslaw between rolls.