On reciprocal eigenvalue property of weighted trees

DOI10.1016/j.laa.2011.09.017zbMath1282.05144OpenAlexW1993317586MaRDI QIDQ389642

Sukanta Pati, Michael Neumann

Publication date: 21 January 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2011.09.017

zbMATH Keywords

treeadjacency matrixalternating pathproperty (SR)inverse graphproperty (R)

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items

Inverse of the adjacency matrices and strong anti-reciprocal eigenvalue property ⋮ Unnamed Item ⋮ Graphs with reciprocal eigenvalue properties ⋮ Strong reciprocal eigenvalue property of a class of weighted graphs ⋮ Inverses of weighted graphs ⋮ On unicyclic non-bipartite graphs with tricyclic inverses ⋮ A reciprocal eigenvalue property for unicyclic weighted directed graphs with weights from \(\{\pm 1,{\pm}i\}\) ⋮ Class of weighted graphs with strong anti-reciprocal eigenvalue property ⋮ Inverses of triangular matrices and bipartite graphs ⋮ On some graphs which satisfy reciprocal eigenvalue properties ⋮ Noncorona graphs with strong anti-reciprocal eigenvalue property ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Inverses of trees
• Laplacian matrices of graphs: A survey
• On nonsingular trees and a reciprocal eigenvalue property
• On graphs with signed inverses
• On the inverse and the dual index of a tree
• The Spectrum of the Corona of Two Graphs