Hook immanantal inequalities for Laplacians of trees

DOI10.1016/S0024-3795(96)00305-9zbMath0883.05099OpenAlexW2076559370MaRDI QIDQ1362651

Onn Chan, Tao Kai Lam

Publication date: 16 March 1998

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(96)00305-9

zbMATH Keywords

treepartitioninequalitiesLaplacian matricesnormalized immanant

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (5)

Hook immanantal and Hadamard inequalities for \(q\)-Laplacians of trees ⋮ Hook immanantal inequalities for trees explained ⋮ An update on Minc's survey of open problems involving permanents ⋮ The coefficients of the immanantal polynomial ⋮ Immanantal invariants of graphs

Cites Work

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• Permanent of the Laplacian matrix of trees and bipartite graphs
• Inequalities and identities for generalized matrix functions
• Inequalities for single-hook immanants
• Descending chains of immanants
• Immanants of combinatorial matrices
• Laplacian matrices of graphs: A survey
• Single-hook characters and hamiltonian circuits^∗
• A hadamard dominance theorem for a class of immanants
• The Second Immanantal Polynomial and the Centroid of a Graph
• Permanents and Immanants of Hermitian Matrices
• Immant dominance orderings for hook partitions
• A Combinatorial Proof of the All Minors Matrix Tree Theorem
• Immanant Inequalities and Partition Node Diagrams
• Immanant Inequalities, Induced Characters, and Rank Two Partitions

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