$k$-Fibonacci numbers and $k$-Lucas numbers and associated bipartite graphs

DOI10.55730/1300-0098.3129zbMath1496.11026OpenAlexW4285129927MaRDI QIDQ5102134

Gwang Yeon Lee

Publication date: 6 September 2022

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.55730/1300-0098.3129

zbMATH Keywords

permanent\(k\)-Lucas number1-factors\(k\)-Fibonacci number

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Determinants, permanents, traces, other special matrix functions (15A15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• Convex polyhedra of doubly stochastic matrices. I: Applications of the permanent function
• Some combinatorial identities via Fibonacci numbers
• \(k\)-Lucas numbers and associated bipartite graphs
• A survey of the state-of-the-art of common due date assignment and scheduling research
• On the order-\(k\) generalized Lucas numbers
• The generalized order-\(k\) Fibonacci-Pell sequence by matrix methods
• A new approach to the maximum-flow problem
• Bounds for a new subclass of bi-univalent functions subordinate to the Fibonacci numbers
• Companion sequences associated to ther-Fibonacci sequence: algebraic andcombinatorial properties

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