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Permutation Classes of Polynomial Growth

✍ Scribed by M. H. Albert; M. D. Atkinson; Robert Brignall

Book ID: 105764763
Publisher: Springer
Year: 2007
Tongue: English
Weight: 239 KB
Volume: 11
Category: Article
ISSN: 0218-0006
DOI: 10.1007/s00026-007-0318-x

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Four classes of permutation polynomials of

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A class of permutation polynomials of F related to Dickson polynomials

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The major index polynomial for conjugacy classes of permutations

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Garsia (1988) gives a remarkably simple expression for the major index enumerator for permutations of a fixed cycle type evaluated at a primitive root of unity. He asks for a direct combinatorial proof of this identity. Here we give such a combinatorial derivation.

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✍ Jin Ho Kwak; Jaeun Lee 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 769 KB

In this paper, we construct a cycle permutation graph as a covering graph over the dumbbell graph, and give a new characterization of when two given cycle permutation graphs are isomorphic by a positive or a negative natural isomorphism. Also, we count the isomorphism classes of cycle permutation gr