โ Scribed by Grzegorz Stachowiak
No coin nor oath required. For personal study only.
Parity difference equal to 0 or _+ 1 is a necessary condition for the existence of minimal change generation algorithms for many combinatorial objects. We prove that finding pairty difference for linear extensions of posets is # P-complete. We also show a new method of finding parity difference for strings representing forests and a combinatorial interpretation of this result as well as all cases when this value is equal to 0 or _+ 1 (see, Ko and Ruskey, 1988).
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