Hermitian Laplacian matrix and positive of mixed graphs

DOI10.1016/j.amc.2015.07.045zbMath1410.05145OpenAlexW1059175684MaRDI QIDQ668641

Guihai Yu, Hui Qu

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.07.045

zbMATH Keywords

mixed graphHermitian adjacency matrixHermitian Laplacian matrixpositive of mixed graph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Hermitian, skew-Hermitian, and related matrices (15B57)

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Cites Work

• Hermitian-adjacency matrices and Hermitian energies of mixed graphs
• Extremality of degree-based graph entropies
• Complete solution to a problem on the maximal energy of unicyclic bipartite graphs
• Complete solution to a conjecture on the maximal energy of unicyclic graphs
• Hermitian adjacency spectrum and switching equivalence of mixed graphs
• Recent results in the theory of graph spectra
• Signed graphs, root lattices, and Coxeter groups
• Bounds for degree-based network entropies
• Note on two generalizations of the Randić index
• Bicyclic graphs with small positive index of inertia
• A note on distance-based graph entropies
• Large regular bipartite graphs with median eigenvalue 1
• On the notion of balance of a signed graph
• Graph Energy
• On a conjecture about tricyclic graphs with maximal energy
• The Laplacian Spectrum of a Graph
• The Laplacian Spectrum of a Graph II
• The Maximal Matching Energy of Tricyclic Graphs
• Median eigenvalues of bipartite subcubic graphs
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