Let pi and theta be cyclic permutations of finite ordered sets. We say that pi forces theta if every continuous map of the interval which has a representative of pi also has one of theta . We give a geometric version of Jungreis' combinatorial algorithm for deciding in certain cases whether pi forces theta .
Transactions of the American Mathematical Society
Bernhardt, Chris; Coven, E.; Misiurewicz, M.; and Mulvey, Irene, "Comparing Periodic Orbits of Maps of the Interval" (1992). Mathematics Faculty Publications. 4.
C. Bernhardt, E. Coven, M. Misiurewicz, and I. Mulvey. Comparing Periodic Orbits of Maps of the Interval, Transactions of the American Mathematical Society. 333(2), 701-707.