Inertia of complex unit gain graphs

DOI10.1016/j.amc.2015.05.105zbMath1410.05174OpenAlexW638789113MaRDI QIDQ1664249

Guihai Yu, Hui Qu, Jian-hua Tu

Publication date: 24 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.05.105

zbMATH Keywords

treeinertiaunicyclic graphcomplex unit gain graph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Structural characterization of families of graphs (05C75)

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Cites Work

• Spectral properties of complex unit gain graphs
• Extremality of degree-based graph entropies
• Probabilistic inequalities for evaluating structural network measures
• Complete solution to a conjecture on the maximal energy of unicyclic graphs
• Biased graphs. I: Bias, balance, and gains
• Connected \((n,m)\)-graphs with minimum and maximum zeroth-order general Randić index
• The inertia of unicyclic graphs and the implications for closed-shells
• Biclique decompositions and Hermitian rank
• Inertia and biclique decompositions of joins of graphs
• Positive and negative inertia index of a graph
• Bicyclic graphs with small positive index of inertia
• A note on distance-based graph entropies
• Graph Energy
• On a conjecture about tricyclic graphs with maximal energy
• Median eigenvalues of bipartite subcubic graphs
• On the nullity of graphs with pendant trees
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