Cover Image

Spectral multiplicity functions of adjacency operators of graphs and cospectral infinite graphs

The adjacency operator of a graph has a spectrum and a class of scalar-valued spectral measures which have been systematically analyzed; it also has a spectral multiplicity function which has been less studied. The first purpose of this article is to review some examples of infinite graphs for which...

Full description

Saved in:

Bibliographic Details
Date:	2024
Main Author:	de la Harpe, Pierre
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2024
Subjects:	spectral graph theory adjacency operator spectral measure spectral multiplicity function unitarily equivalent operators cospectral graphs Jacobi matrix 05C50 47A10
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2224
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics

Similar Items

On the difference between the spectral radius and the maximum degree of graphs
by: Oboudi, Mohammad Reza
Published: (2018)

Accuracy of narrow-band spectral indices estimation by wide-band remote sensing data
by: Stankevich, Sergey
Published: (2022)

Isodual and self-dual codes from graphs
by: Mallik, S., et al.
Published: (2021)

PARAMETERS OF INFRASONIC SIGNALS GENERATED IN THE ATMOSPHERE BY MULTIPLE EXPLOSIONS AT AN AMMUNITION DEPOT
by: Chernogor, L. F., et al.
Published: (2018)

On Markov graphs
by: Kozerenko, Sergiy
Published: (2018)

Embeddings of (proper) power graphs of finite groups
by: Doostabadi, A., et al.
Published: (2018)

On square-Hamiltonian graphs
by: Protasova, K. D.
Published: (2018)

ACOUSTO-OPTICS ANALYZERS OF SPECTRAL COMPOSITION OF THE OPTICAL AND RADIO FREQUENCY RADIATION BASED ON THE HIGHERORDER BRAGG’S RESONANCES
by: Kupchenko, L. F., et al.
Published: (2014)

Power graph of finite abelian groups
by: Chelvam, T. Tamizh, et al.
Published: (2018)

APPLICATION OF SPECTRAL AND DISPERSION TECHNIQUES AT THE DECAMETER WAVELENGTHS FOR DETERMINATION OF SOLAR WIND PARAMETERS
by: Olyak, M. R., et al.
Published: (2014)

Exact sequences of graphs
by: Abbasi, Ahmad, et al.
Published: (2019)

Spectral-temporal analysis of long-period climatic series, the core of the Greenland borehole as an example
by: Danova, T. E., et al.
Published: (2016)

BRIGHTNESS TEMPERATURE AND SPECTRAL INDEX OF EXTRAGALACTIC BACKGROUND AT DECAMETER WAVELENGTHS
by: Vasilenko, N. M., et al.
Published: (2015)

On a graph isomorphic to its intersection graph: self-graphoidal graphs
by: Das, P. K., et al.
Published: (2019)

On the zero forcing number of graphs and their splitting graphs
by: Chacko, Baby, et al.
Published: (2019)

HIGH-PRECISION MICROWAVE SPECTROMETER WITH SUB-DOPPLER SPECTRAL RESOLUTION
by: Alekseev, E. A., et al.
Published: (2015)

On the existence of degree-magic labellings of the \(n\)-fold self-union of complete bipartite graphs
by: Inpoonjai, Phaisatcha, et al.
Published: (2019)

The spectral measure of the Markov operator related to 3-generated 2-group of intermediate growth and its Jacobi parameters
by: Grigorchuk, R. I., et al.
Published: (2018)

On unicyclic graphs of metric dimension 2 with vertices of degree 4
by: Dudenko, Marharyta, et al.
Published: (2019)

Domination polynomial of clique cover product of graphs
by: Jahari, Somayeh, et al.
Published: (2020)

Colour class domination numbers of some classes of graphs
by: Venkatakrishnan, Yanamandram B., et al.
Published: (2018)

Chromatic number of graphs with special distance sets, I
by: Yegnanarayanan, V.
Published: (2018)

Double-toroidal and \(1\)-planar non-commuting graph of a group
by: Pezzott, J. C. M.
Published: (2023)

Classifying cubic \(s\)-regular graphs of orders \(22p \) and \( 22p^{2}\)
by: Talebi, A. A., et al.
Published: (2018)

On application of linear algebra in classification cubic \(s\)-regular graphs of order \(28p\)
by: Imani, A., et al.
Published: (2018)

PECULIARITIES IN THE IONOSPHERIC SCINTILLATION SPECTRAL INDEX BEHAVIOR BY OBSERVATIONS OF THE COSMIC RADIO SOURCES AT THE DECAMETER WAVELENGTHS
by: Panishko, S. K., et al.
Published: (2019)

Information systems for observation of marine aquatories and adjacent areas using aerospace technologies
by: Volynets, Taras, et al.
Published: (2025)

Information systems of observation of marine waters and adjacent areas using remotely piloted aircraft
by: Trysnyuk, Taras V., et al.
Published: (2024)

Systematization of natural factors that determine changes in spectral signatures of landscape features above hydrocarbon deposits onshore and on the shelf
by: Arkhipov, Oleksander, et al.
Published: (2025)

Spectral model of dynamic landscape components based on multispectral space images of the Earth
by: Yakimchuk, Vladyslav, et al.
Published: (2023)

Square difference labeling of some union and disjoint union graphs
by: Sherman, Zoya
Published: (2018)

Some properties of the nilradical and non-nilradical graphs over finite commutative ring \(\mathbb{Z}_n\)
by: Chandra, Shalini, et al.
Published: (2018)

Visibility Graph as a Tool for the Network Analysis of Measurement Series
by: Snarskii, A. A., et al.
Published: (2013)

Applying spectral decomposition to seismic facies clustering with unsupervised machine learning
by: Malikov, Ruslan, et al.
Published: (2025)

SPECTRAL ANALYSIS OF REFERENCE SIGNAL AND OF HF SIGNAL REFLECTED FROM THE IONOSPHERE BEATS
by: Pushin, V. F., et al.
Published: (2014)

On unicyclic graphs of metric dimension \(2\)
by: Dudenko, Margaryta, et al.
Published: (2017)

Automorphism groups of tetravalent Cayley graphs on minimal non-abelian groups
by: Ghasemi, Mohsen
Published: (2018)

ON THE POSSIBILITY OF IDENTIFYING PEATLAND FEATURES USING REMOTE SENSING DATA
by: Лялько, В.І., et al.
Published: (2023)

On the edge-Wiener index of the disjunctive product of simple graphs
by: Azari, M., et al.
Published: (2020)

The use of the adaptive spectral indexes for the hydrocarbon deposits exploration using remoteli sensed data and ground-based photometry
by: Yakymchuk, Vladyslav, et al.
Published: (2016)