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

zbMath1491.05191arXiv1912.03101MaRDI QIDQ2145987

Mukesh Kumar Nagar, Sivaramakrishnan Sivasubramanian

Publication date: 15 June 2022

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.03101

zbMATH Keywords

treeLaplaciangeneralized matrixmonomial symmetric function\(\texttt{GTS}_n\) poset

Mathematics Subject Classification ID

Partial orders, general (06A06) Trees (05C05) Symmetric functions and generalizations (05E05) Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Cites Work

• Unnamed Item
• Counting with symmetric functions
• On a poset of trees
• The monomial symmetric functions and the Frobenius map
• Hook immanantal inequalities for trees explained
• Laplacian immanantal polynomials and the \(\mathsf{GTS}\) poset on trees
• Hook immanantal and Hadamard inequalities for \(q\)-Laplacians of trees
• Eigenvalue monotonicity of \(q\)-Laplacians of trees along a poset
• A \(q\)-analogue of the distance matrix of a tree
• A Combinatorial Proof of Bass’s Evaluations of the Ihara-Selberg Zeta Function for Graphs
• THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE

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