The enumeration of generalised alternating subsets with congruences

DOI10.1016/0012-365X(78)90118-8zbMath0392.05006OpenAlexW2030134519MaRDI QIDQ1251661

Ian P. Goulden, David M. Jackson

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0012-365x(78)90118-8

zbMATH Keywords

EnumerationDirect MethodEnumeration ConfigurationsGeneralised Alternating Subsets with CongruencesTermed (L,Q)-Sequences

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items

Alternating subsets and permutations, Fibonacci numbers, alternating parity sequences and faces of the tridiagonal Birkhoff polytope, Alternating subsets modulo \(m\), A Formal Calculus for the Enumerative System of Sequences-I. Combinatorial Theorems, A Formal Calculus for the Enumerative System of Sequences-II. Applications, A Formal Calculus for the Enumerative System of Sequences-III. Further Developments

Cites Work

• Generating functions and generalized alternating subsets
• An Application of a Generalization of Terquem's Problem
• Generalizations of Terquem's problem
• Unnamed Item