Energy of weighted digraphs

DOI10.1016/j.dam.2017.01.034zbMath1471.05039OpenAlexW2594789266MaRDI QIDQ2030430

Mushtaq A. Bhat

Publication date: 7 June 2021

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

Full work available at URL: https://doi.org/10.1016/j.dam.2017.01.034

zbMATH Keywords

extremal energyMcClelland inequalitybipartite weighted digraphCoulson's integral formulaenergy of a weighted digraphspectrum of a weighted digraph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Directed graphs (digraphs), tournaments (05C20) Signed and weighted graphs (05C22)

Related Items (14)

Total energy of signed digraphs ⋮ Iota energy orderings of bicyclic signed digraphs ⋮ A new notion of energy of digraphs ⋮ On the coefficients of skew Laplacian characteristic polynomial of digraphs ⋮ Unnamed Item ⋮ Lower bounds for the energy of weighted digraphs ⋮ On spectra and real energy of complex weighted digraphs ⋮ Bounds for the skew Laplacian energy of weighted digraphs ⋮ Upper bound for the trace norm of the Laplacian matrix of a digraph and normally regular digraphs ⋮ On the ordering of bicyclic digraphs with respect to energy and iota energy ⋮ Bicyclic signed digraphs with maximal energy ⋮ Iota energy of weighted digraphs ⋮ Computing extremal energy of a class of bicyclic weighted digraphs ⋮ The Sachs theorem and its application on extended adjacency matrix of graphs

Cites Work

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• The energy change of weighted graphs
• On weighted directed graphs
• A sharp upper bound on the spectral radius of weighted graphs
• The McClelland inequality for the energy of digraphs
• The energy of directed hexagonal systems
• Energy of signed digraphs
• Energy of digraphs
• Matrix Analysis
• Spectral criterion for cycle balance in networks
• Spectra and energy of bipartite signed digraphs
• Unicyclic graphs with minimal energy

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