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Linear extensions and order-preserving poset partitions

✍ Scribed by Jenča, Gejza; Sarkoci, Peter


Book ID
122106924
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
298 KB
Volume
122
Category
Article
ISSN
0097-3165

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Linear extensions of finite posets and a
✍ Gwihen Etienne 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 416 KB

We pmve a conjecture of G. Kreweras on the number of solutions of the equation xy = z for permutations of a given signature. Let x be a permutation of [n) = (1,2, . . . , n), R an integer \\*2. The signanue of x k~ the (n-l)-tuple e =(el, e2,. . . . , E,,-~) where Ei is the sign + if q : P. of the e