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Jan 19, 2010 at 14:37 comment added Steve Huntsman The necklace ATAGTC contains the 2-lets AT, TA, AG, GT, and TC. There is another necklace that has the same initial and terminal singlets and the same multiset of doublets: namely, AGTATC.
Jan 19, 2010 at 3:50 comment added Rob Grey I'm just about to walk out the door, but (quickly) I believe it's true that with P(1/r^j) - i.e. where $r$ the number of unique elements in the multiset and $j$ is the size of any subset - we can create a non-uniquely reconstructable sequence. I'm interested in the limit where P(1/r^j) << 1.
Jan 19, 2010 at 3:37 history answered Harrison Brown CC BY-SA 2.5