How to Make It
In a small bowl, whisk the hoisin sauce with the vinegar, lime juice, sesame oil and sugar, stirring to dissolve the sugar.
In a large saucepan, heat 1 inch of vegetable oil to 350°. Break the noodles into 2 equal clusters. Add one cluster to the hot oil; fry until the noodles puff up and whiten, about 5 seconds. Using a slotted spoon, transfer the noodles to paper towels to drain. Repeat with the remaining cluster.
Squeeze the lemon half into a medium bowl of water. Peel the burdock root, cut it into 2-by- 1/4-inch strips and soak in the lemon water for 5 minutes.
Bring a medium saucepan of water to a boil. Drain the burdock. Add it to the saucepan and cook over high heat until crisp-tender, about 3 minutes. Drain and let cool.
In a large bowl, toss the mesclun with the red and green cabbages, celery, carrot, scallion, jicama, cucumber, snow peas, cilantro and burdock. Add the dressing and toss to coat. Transfer the salad to a platter. Top with the fried noodles, garnish with the basil and serve right away.