Some properties of statistics var defining the number of various symbols in a word obtained by component addition mod n of permutation of degree n with a fixed permutation (a key) are considered.
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- Title Properties of statistics var on group of permutations
- Headline Properties of statistics var on group of permutations
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Tomsk State University - Issue Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics 6 (Приложение)
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Keywords
перестановка, статистика, производящий многочлен, перманент, циркулянт, permutation, statistics, generating polynomial, permanent, circulantAuthors
References
Фоата Д. Распределения типа Эйлера и Макмагона на группе перестановок // Проблемы комбинаторного анализа: сб. статей. М.: Мир, 1980. С. 120-141.
Brualdi R. A. and Newman M. An enumeration problem for a congruence equation // J. Research National Bureau Standards. Math. Sci. 1970. V. 74B. No. 1. P. 37-40.
Риордан Дж. Введение в комбинаторный анализ. М.: ИЛ, 1963.
Properties of statistics var on group of permutations | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2013. № 6 (Приложение).
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