Final answer:
The assertion about the amnesiac matching algorithm's worst-case running time being O(n^2) cannot be confirmed without additional context, as the specific algorithm mentioned is not widely recognized in computational complexity theory.
Step-by-step explanation:
The statement "The worst-case running time of the amnesiac matching algorithm is O(n^2)" can be true or false depending on the specifics of the algorithm being referred to. Unfortunately, there isn't a commonly known algorithm by the name 'amnesiac matching algorithm' in the domain of algorithm analysis and design. The phrase 'amnesiac' suggests some form of memorylessness or randomness, which might affect the running time analysis. Without more context or a specific definition of the algorithm in question, it is not possible to definitively verify the running time complexity. However, many matching algorithms, such as the Hungarian algorithm for solving the assignment problem, indeed have worst-case running times that can be as high as O(n^3) depending on the implementation.