Applications of rational difference equations to spectral graph theory

Author:

Oliveira Elismar R.1ORCID,Trevisan Vilmar12ORCID

Affiliation:

1. Instituto de Matemática e Estatística, UFRGS – Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil

2. Department of Mathematics and Applications, University of Naples Federico II, Napoli, Italy

Funder

CAPES

CNPq

FAPERGS PqG

Publisher

Informa UK Limited

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference14 articles.

1. Eigenvalues of the Laplacian of a graph∗

2. Spectral ordering of trees with small index

3. Asymptotic results on the spectral radius and the diameter of graphs

4. S. Elaydi, An Introduction to Difference Equations, 3rd ed., Undergraduate Texts in Mathematics, Springer, New York, 2005.

5. M. Fürer, C. Hoppen, and V. Trevisan, Efficient diagonalization of symmetric matrices associated with graphs of small treewidth. 47th International Colloquium on Automata, Languages, and Programming (ICALP 2020), Dagstuhl, Germany, 2020, A. Czumaj, A. Dawar, and E. Merelli, eds., vol. 168 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl–Leibniz-Zentrum für Informatik, pp. 52:1–52:18.

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1. Limit points of (signless) Laplacian spectral radii of linear trees;Applied Mathematics and Computation;2024-09

2. On the Laplacian index of tadpole graphs;Special Matrices;2024-01-01

3. On Quipus whose signless Laplacian index does not exceed 4.5;Journal of Algebraic Combinatorics;2022-01-03

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