The adjacency matrix of one type of directed graph and the Jacobsthal numbers and their determinantal representation

DOI10.1155/2012/423163zbMath1258.05079DBLPjournals/jam/YilmazB12OpenAlexW2125591649WikidataQ58905867 ScholiaQ58905867MaRDI QIDQ1760684

Durmuş Bozkurt, Fatih Yilmaz

Publication date: 15 November 2012

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

Full work available at URL: https://doi.org/10.1155/2012/423163

zbMATH Keywords

adjacency matrixdirected graphnumber of walksJacobsthal number

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Directed graphs (digraphs), tournaments (05C20)

Related Items (4)

Relationships between the permanents of a certain type of \(k\)-tridiagonal symmetric Toeplitz matrix and the Chebyshev polynomials ⋮ Unnamed Item ⋮ ON DETERMINANTS AND PERMANENTS OF SOME TOEPLITZ-HESSENBERG MATRICES WHOSE ENTRIES ARE JACOBSTHAL NUMBERS ⋮ Unnamed Item

Cites Work

• Hessenberg matrices and the Pell and Perrin numbers
• On the Fibonacci and Lucas \(p\)-numbers, their sums, families of bipartite graphs and permanents of certain matrices
• Incomplete generalized Jacobsthal and Jacobsthal-Lucas numbers
• Fibonacci numbers and Lucas numbers in graphs
• On computing of arbitrary positive integer powers for one type of symmetric pentadiagonal matrices of even order
• On computing of arbitrary positive integer powers for one type of symmetric tridiagonal matrices of even order. I
• Permanents
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• Unnamed Item
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