**The distribution of cycle lengths in graphical models for iterative decoding**.

X. Ge, D. Eppstein, and P. Smyth.

arXiv:cs.DM/9907002.

Tech. Rep. 99-10, ICS, UCI, 1999.

IEEE Int. Symp. Information Theory, Sorrento, Italy, 2000.

*IEEE Trans. Information Theory*47 (6): 2549–2553, 2001.We compute the expected numbers of short cycles of each length in certain classes of random graphs used for turbocodes, estimate the probability that there are no such short cycles involving a given vertex, and experimentally verify our estimates. The scarcity of short cycles may help explain the empirically observed accuracy of belief-propagation based error-correction algorithms. Note, the TR, conference, and journal versions of this paper have slightly different titles.

(BibTeX – Citations: TR/ISIT – CiteSeer)

Co-authors – Publications – David Eppstein – Theory Group – Inf. & Comp. Sci. – UC Irvine

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