## Circular binary strings without zigzags.(English)Zbl 1061.05003

The authors give several enumerative properties of the set of all circular binary strings without zigzags and of the set of all $$(0,1)$$-necklaces without zigzags, where a zigzag is a 1 followed and preceded by a 0 or a 0 followed and preceded by a 1.

### MSC:

 05A05 Permutations, words, matrices
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