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 .
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.
Chris Bernhardt, E. Coven, M. Misiurewicz and Irene Mulvey. "Comparing Periodic Orbits of Maps of the Interval" Transactions of the American Mathematical Society
Vol. 333 Iss. 2 (1992)
Available at: http://works.bepress.com/irene_mulvey/1/