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A combinatorial proof of a combinatorial theorem

✍ Scribed by J. M. Henle; E. M. Kleinberg


Publisher
Akadmiai Kiad
Year
1975
Tongue
English
Weight
326 KB
Volume
26
Category
Article
ISSN
1588-2632

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Combinatorial Proofs of the Conley-Zehnd
✍ S. Alpern; V.S. Prasad πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 428 KB

We give two combinatorial proofs of Franks' Theorem, that an area preserving torus homeomorphism with mean rotation zero has a fixed point. The first proof uses Lax's version of the Marriage Theorem. The second proof uses Euler's Theorem on circuits in graphs and an explicit method of Alpern for dec