A combinatorial application of matrix Riccati equations and their q- analogue

DOI10.1016/0012-365X(81)90234-XzbMath0497.05004DBLPjournals/dm/CollinsGJN81WikidataQ59640426 ScholiaQ59640426MaRDI QIDQ1170193

C. B. Collins, O. M. Nierstrasz, Ian P. Goulden, David M. Jackson

Publication date: 1981

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

permutationsgenerating functionsmatrix Riccati differential equationbinary sequenceup-down pattern

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Linear ordinary differential equations and systems (34A30)

Related Items (4)

On combinatorial differential equations ⋮ Algebraic methods for permutations with prescribed patterns ⋮ Counting permutations by alternating descents ⋮ Periodic de Bruijn triangles: exact and asymptotic results

Cites Work

• Unnamed Item
• Algebraic methods for permutations with prescribed patterns
• Generating functions for certain types of permutations
• Binomial posets, Möbius inversion, and permutation enumeration
• Théorie géométrique des polynômes eulériens
• Enumeration des graphes planaires à l'aide des séries formelles en variables non commutatives
• A Formal Calculus for the Enumerative System of Sequences-I. Combinatorial Theorems
• Monotoneity Properties of Solutions of Hermitian Riccati Matrix Differential Equations

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