Eigenvalue monotonicity of \(q\)-Laplacians of trees along a poset

DOI10.1016/j.laa.2019.02.018zbMath1414.05182arXiv1711.09787OpenAlexW2768396828MaRDI QIDQ2419012

Mukesh Kumar Nagar

Publication date: 29 May 2019

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

Full work available at URL: https://arxiv.org/abs/1711.09787

zbMATH Keywords

tree\(q\)-Laplacian\(\mathsf{GTS}_n\) posetinterlaceexponential distance matrix

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (1)

Generalized matrix polynomials of tree Laplacians indexed by symmetric functions and the GTS poset

Cites Work

• Unnamed Item
• Unnamed Item
• On a poset of trees
• Hermitian Laplacian matrix and positive of mixed graphs
• On a conjecture of V. Nikiforov
• Laplacian immanantal polynomials and the \(\mathsf{GTS}\) poset on trees
• Hook immanantal and Hadamard inequalities for \(q\)-Laplacians of trees
• A \(q\)-analogue of the distance matrix of a tree
• On a Poset of Trees II
• The product distance matrix of a tree and a bivariate zeta function of a graphs
• On graphs with randomly deleted edges
• A reliability-improving graph transformation with applications to network reliability
• A Combinatorial Proof of Bass’s Evaluations of the Ihara-Selberg Zeta Function for Graphs
• THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE

This page was built for publication: Eigenvalue monotonicity of \(q\)-Laplacians of trees along a poset