In a medium bowl, mix green cabbage, red onion, and carrots.
In a small bowl, combine rice vinegar, canola oil, mayonnaise, sugar, salt, and wasabi paste. Stir will and pour over cabbage mixture. Toss to coat. Refrigerate until ready to serve.
Preheat the grill.
Add tuna to a large bowl, and chop finely. Add eggs and as many breadcrumbs as are needed to hold the patties together.
Place patties on a perforated grill pan, and set the pan directly on the grill. Allow to cook until firm enough to flip without breaking, approximately 8-10 minutes per side, depending on thickness of burger. Remove from the grill.
Serve each tuna burger on a toasted Kaiser roll, and top with wasabi slaw.