Let SHAM3 Be the Problem of Finding a Hamiltonian Cycle

question 1

Multiple Choice

Let SHAM3 be the problem of finding a Hamiltonian cycle in a graph G =(V,E) with V divisible by 3 and DHAM3 be the problem of determining if a Hamiltonian cycle exists in such graphs. Which one of the following is true?

• A)Both DHAM3 and SHAM3 are NP-hard
• B)SHAM3 is NP-hard, but DHAM3 is not
• C)DHAM3 is NP-hard, but SHAM3 is not
• D)Neither DHAM3 nor SHAM3 is NP-hard

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Definitions:

Net Present Value

A financial metric used to evaluate the profitability of an investment, by calculating the difference between the present value of cash inflows and outflows over a period of time.

Discount Factor(s)

Mathematical factors used in discounted cash flow analysis to calculate the present value of future cash flows, reflecting the time value of money.

Working Capital

The difference between a company's current assets and current liabilities, indicating the financial health and operational efficiency.

Payback Period

The duration needed to recoup the cost of an investment.