Per-spectral characterizations of graphs with extremal per-nullity

DOI10.1016/j.laa.2015.06.018zbMath1327.05162OpenAlexW833973862MaRDI QIDQ491098

Tingzeng Wu, Heping Zhang

Publication date: 24 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.06.018

zbMATH Keywords

nullitypermanental polynomialper-nullityper-spectrum

Mathematics Subject Classification ID

Graph polynomials (05C31) Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (11)

Graphs determined by the (signless) Laplacian permanental polynomials ⋮ Per-spectral characterizations of some bipartite graphs ⋮ A study on determination of some graphs by Laplacian and signless Laplacian permanental polynomials ⋮ Permanents of almost regular complete bipartite graphs ⋮ Computing the permanental polynomials of graphs ⋮ Per-spectral characterizations of bicyclic networks ⋮ Constructing graphs which are permanental cospectral and adjacency cospectral ⋮ On the permanental nullity and matching number of graphs ⋮ Generalized permanental polynomials of graphs ⋮ On the normalized Laplacian permanental polynomial of a graph ⋮ Per-spectral and adjacency spectral characterizations of a complete graph removing six edges

Cites Work

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• A characterization of graphs with rank 5
• Computing the permanental polynomials of bipartite graphs by Pfaffian orientation
• The complexity of computing the permanent
• A characterization of graphs with rank 4
• Developments on spectral characterizations of graphs
• Matching theory
• Permanental polynomials of graphs
• Which graphs are determined by their spectrum?
• On the permanental polynomials of some graphs
• On the characterizing properties of the permanental polynomials of graphs
• A note on the permanental roots of bipartite graphs
• Per-spectral characterizations of some edge-deleted subgraphs of a complete graph
• On the nullity of graphs
• Paths, Trees, and Flowers
• Characterizing properties of permanental polynomials of lollipop graphs
• Cospectral Graphs and Digraphs

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