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A combinatorial bijection between linear extensions of equivalent orders

✍ Scribed by Ulrich Faigle; Rainer Schrader

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
404 KB
Volume
58
Category
Article
ISSN
0012-365X

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✦ Synopsis

Let P and Q be (partially) ordered sets with the same comparability graph. A bijection is constructed between the sets of linear extensions of P and Q such that the number of setups is preserved. This yields a common generaliTation of the comparability invariance of order dimension, setup number and number of linear extensions.

πŸ“œ SIMILAR VOLUMES

Periodic solutions of second-order nonli
Periodic solutions of second-order nonlinear difference equations containing a small parameterβ€”II. Equivalent linearization
✍ Ronald E. Mickens πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 325 KB

We extend to a particular class of nonlinear difference equations the classical method of equivalent linearization. We show that the method can be used to obtain an approximation to the periodic solutions of these equations. In particular, we can determine the parameters of the limit cycles and limi