**Problem Statement:**
Given the required input arguments, write an efficient algorithm to solve the **Letter Combinations of Phone Number** problem. Implement the required logic as specified by standard definitions for this classic algorithmic challenge.
**Hint / Expected Approach:**
Digit-to-letters map + DFS
**Edge Cases to Consider:**
- (1) Empty string input
- (2) Single digit
- (3) Digit "1" (no mapping)