Unlike the shortest paths problem which admits efficient polynomial time algorithms, the longest paths problem in graphs is NPhard with no known polynomial time algorithms. The longest paths problem comes in many variants:

You draw two cards from a standard deck of 52 cards, but before you draw the second card, you put the first one back and reshuffle the deck. (a) are the outcomes on the two cards independent? why?

Which of the following is not a key player in the sale of travel products?

Mastercard managers are motivated to increase (1) the number of individuals who have and use a mastercard credit card, (2) the number of banks and other clents who issue mastercards to customers and/or employees, and (3) the number of locations that accept mastercard payments. discuss how mastercard could use its data warehouse to it expand each of these customer bases.