Heat oven to 400ºF.
Add the rice, walnuts, broccoli, mushrooms, carrot, and cilantro to a food processor. Process 20-30 seconds, or until the mixture is crumbly. Season with salt and pepper.
Form the mixture into four balls; roll each ball in flour then press them into ¼-inch patties (if the edges crack, simply press them back together). Place the patties on a baking sheet and bake 10-15 minutes, or until the edges are brown.
Carefully flip the burgers and cook another 5 minutes. Top each burger with a deli slice and bake another 2-3 minutes, until the cheese is melted.
Meanwhile, prepare the slaw by combining all ingredients in a small mixing bowl. Let rest 5-10 minutes while the burgers cook.
To serve, place the homemade veggie burgers on the rolls and top with a generous portion of the slaw.Recipe by: Healthy Delicious