Hook immanantal inequalities for trees explained

DOI10.1016/S0024-3795(97)00369-8zbMath0895.15006WikidataQ126351602 ScholiaQ126351602MaRDI QIDQ1381277

Onn Chan, Tao Kai Lam

Publication date: 31 August 1998

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

zbMATH Keywords

positive semidefinite Hermitian matrixhook partitionhook immanantimmanantal inequalitiesLaplacian matrix of a treevertex orientation

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Miscellaneous inequalities involving matrices (15A45)

Related Items (5)

Laplacian immanantal polynomials and the \(\mathsf{GTS}\) poset on trees ⋮ Generalized matrix polynomials of tree Laplacians indexed by symmetric functions and the GTS poset ⋮ Hook immanantal and Hadamard inequalities for \(q\)-Laplacians of trees ⋮ The coefficients of the immanantal polynomial ⋮ Immanantal invariants of graphs

Cites Work

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• Immanants of combinatorial matrices
• Laplacian matrices of graphs: A survey
• Hook immanantal inequalities for Laplacians of trees
• Immant dominance orderings for hook partitions
• Immanant Inequalities for Laplacians of Trees
• The Laplacian permanental polynomial for trees

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