On the Fibonacci and Lucas \(p\)-numbers, their sums, families of bipartite graphs and permanents of certain matrices

DOI10.1016/j.chaos.2007.10.007zbMath1198.11014OpenAlexW1985048439MaRDI QIDQ602222

Sumit K. Garg

Publication date: 4 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.10.007

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Structural characterization of families of graphs (05C75) Matrices of integers (15B36) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (10)

Determinantal and permanental representations of Fibonacci type numbers and polynomials ⋮ On the order-\(m\) generalized Fibonacci \(k\)-numbers ⋮ Determinantal and permanental representations of convolved Lucas polynomials ⋮ On the arrowhead-Fibonacci numbers ⋮ The adjacency matrix of one type of directed graph and the Jacobsthal numbers and their determinantal representation ⋮ Unnamed Item ⋮ Cameron's operator in terms of determinants and hypergeometric numbers ⋮ Fibonacci and Lucas \(p\)-cubes ⋮ On distance \((r, k)\)-Fibonacci numbers and their combinatorial and graph interpretations ⋮ Representation of integers by k-generalized Fibonacci sequences and applications in cryptography

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