By "double-pointer", I think you mean "pointer-to-pointer". This is useful because it allows you to eliminate special cases for either the head or tail pointers. For example, given this list:
struct node {
struct node *next;
int key;
/* ... */
};
struct node *head;
If you want to search for a node and remove it from the list, the single-pointer method would look like:
if (head->key == search_key)
{
removed = head;
head = head->next;
}
else
{
struct node *cur;
for (cur = head; cur->next != NULL; cur = cur->next)
{
if (cur->next->key == search_key)
{
removed = cur->next;
cur->next = cur->next->next;
break;
}
}
}
Whereas the pointer-to-pointer method is much simpler:
struct node **cur;
for (cur = &head; *cur != NULL; cur = &(*cur)->next)
{
if ((*cur)->key == search_key)
{
removed = *cur;
*cur = (*cur)->next;
break;
}
}