Strong reciprocal eigenvalue property of a class of weighted graphs

DOI10.1016/j.laa.2016.09.040zbMath1347.05113OpenAlexW2524386035MaRDI QIDQ331194

Swarup Kumar Panda, Sukanta Pati, Ravindra B. Bapat

Publication date: 26 October 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.09.040

zbMATH Keywords

coronaadjacency matrixweighted graphperfect matchingproperty (SR)

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Eigenvalues, singular values, and eigenvectors (15A18) Signed and weighted graphs (05C22)

Related Items (5)

Inverse of the adjacency matrices and strong anti-reciprocal eigenvalue property ⋮ Class of weighted graphs with strong anti-reciprocal eigenvalue property ⋮ On some graphs which satisfy reciprocal eigenvalue properties ⋮ Noncorona graphs with strong anti-reciprocal eigenvalue property ⋮ Some new families of noncorona graphs with strong anti-reciprocal eigenvalue property

Cites Work

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• Inverses of trees
• A reciprocal eigenvalue property for unicyclic weighted directed graphs with weights from \(\{\pm 1,{\pm}i\}\)
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• On nonsingular trees and a reciprocal eigenvalue property
• On The Inverse Of A Class Of Bipartite Graphs With Unique Perfect Matchings
• Unicyclic graphs with strong reciprocal eigenvalue property
• A new graph product and its spectrum
• On some graphs which possess inverses

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