While adding or removing a node in a doubly linked list requires changing more links than the same operations on a singly linked list, the operations are simpler and potentially more efficient ( for nodes other than first nodes ) because there is no need to keep track of the previous node during traversal or no need to traverse the list to find the previous node, so that its link can be modified.
32.
When Algorithm X is implemented efficiently using Donald Knuth's Dancing Links technique on a computer, Knuth calls it DLX . DLX uses the matrix representation of the problem, implemented as a series of doubly linked lists of the 1s of the matrix : each 1 element has a link to the next 1 above, below, to the left, and to the right of itself . ( Technically, because the lists are circular, this forms a torus ).
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But neither, to be pedantic ( which is all what language and library standards are about ) does it explicitly say ( that I can find ) that references etc . are valid until the item is explicitly destroyed-it would be bonkers if they were invalidated somehow, and the standard very strongly implies that the implementation will be a doubly linked list of items ( e . g . list . insert insists that this be a constant time operation, whereas vector . insert does not ).
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