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Characterizations of graphs with given inertia index achieving the maximum diameter

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Publication:5122485
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DOI10.1080/03081087.2018.1552656zbMATH Open1448.05128OpenAlexW2902905882WikidataQ114641326 ScholiaQ114641326MaRDI QIDQ5122485

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Publication date: 23 September 2020

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

Full work available at URL: https://doi.org/10.1080/03081087.2018.1552656



zbMATH Keywords

diameterpositive inertia indexnegative inertia index


Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12)


Cites Work

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  • Bounds for the positive and negative inertia index of a graph
  • The inertia of unicyclic graphs and the implications for closed-shells
  • On graphs with a fixed number of negative eigenvalues
  • A characterization of long graphs of arbitrary rank
  • Positive and negative inertia index of a graph
  • Bicyclic graphs with small positive index of inertia
  • The positive and the negative inertia index of line graphs of trees
  • Graphs with Exactly Two Negative Eigenvalues
  • Characterization of sub-long graphs of arbitrary rank
  • On the nullity of bipartite graphs







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