Distance Laplacian spectra of graphs: a survey (Q6657228)

scientific article; zbMATH DE number 7962089

Language	Label	Description	Also known as
English	Distance Laplacian spectra of graphs: a survey	scientific article; zbMATH DE number 7962089

Statements

instance of

scholarly article

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title

Distance Laplacian spectra of graphs: a survey (English)

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Discrete Applied Mathematics

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publication date

6 January 2025

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zbMATH Keywords

distance Laplacian

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distance signless Laplacian

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eigenvalues

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spectral radius

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Nordhaus-Gaddum relations for proximity and remoteness in graphs

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On a conjecture about the Szeged index

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Proximity and remoteness in graphs: Results and conjectures

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Two Laplacians for the distance matrix of a graph

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Distance spectra of graphs: a survey

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Some properties of the distance Laplacian eigenvalues of a graph

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On the distance signless Laplacian of a graph

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Proximity, remoteness and distance eigenvalues of a graph

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Distance Laplacian eigenvalues and chromatic number in graphs

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Proximity, remoteness and girth in graphs

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Cospectrality of graphs with respect to distance matrices

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Proximity and remoteness in graphs: a survey

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Q5028511

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Graph spectral techniques in computer sciences

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Q4568082

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Drum Shapes and Isospectral Graphs

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On distance Laplacian matrices of weighted trees

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Determinant of the distance matrix of a tree with matrix weights

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Convex and quasiconvex functions on trees and their applications

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On distance matrices and Laplacians

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Graphs that are cospectral for the distance Laplacian

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Spectra of graphs

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Cospectral graphs on 12 vertices

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The complexity of obtaining a distance-balanced graph

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Distance matrices on the \textit{H-join} of graphs: a general result and applications

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Eigenvalues of a $H$-generalized join graph operation constrained by vertex subsets

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Q5792996

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Spektren endlicher Grafen

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Complement reducible graphs

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Q5648382

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Q4511023

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Recent results in the theory of graph spectra

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Q4327350

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Eigenvalue bounds for the signless laplacian

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Towards a spectral theory of graphs based on the signless Laplacian, I

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Towards a spectral theory of graphs based on the signless Laplacian. II.

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Towards a spectral theory of graphs based on the signless Laplacian, III

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Graph spectra in computer science

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A note on a conjecture for the distance Laplacian matrix

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On (distance) Laplacian energy and (distance) signless Laplacian energy of graphs

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On distance Laplacian and distance signless Laplacian eigenvalues of graphs

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Old and new results on algebraic connectivity of graphs

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New bounds on the distance Laplacian and distance signless Laplacian spectral radii

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Sharp upper bounds on the distance energies of a graph

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Q5215571

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On the distance matrix of a tree

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Multiplicities of distance Laplacian eigenvalues and forbidden subgraphs

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Q5682350

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Eigenvectors of acyclic matrices

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Isospectral graphs and isoperimetric constants

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On distance Laplacian spectrum (energy) of graphs

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On the distance Laplacian energy ordering of a tree

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On distance Laplacian energy in terms of graph invariants

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Q4186363

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Constructing cospectral graphs

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Distance matrix polynomials of trees

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On the Addressing Problem for Loop Switching

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Q4186355

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Q3807048

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Enumeration of cospectral graphs.

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Generation of isospectral graphs

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Q2761049

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Three distance characteristic polynomials of some graphs

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Q5181731

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The difference between remoteness and radius of a graph

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Proof of conjectures on remoteness and proximity in graphs

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On distance-balanced graphs

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Q3184810

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Distance-balanced graphs

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Remoteness and distance, distance (signless) Laplacian eigenvalues of a graph

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Complete multipartite graphs are determined by their distance spectra

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A note on cospectral graphs

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Can One Hear the Shape of a Drum?

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On graphs with distance Laplacian eigenvalues of multiplicity <i>n</i> −4

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Remoteness and distance eigenvalues of a graph

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On the first two largest distance Laplacian eigenvalues of unicyclic graphs

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On the distance and distance Laplacian eigenvalues of graphs

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On the distance Laplacian spectral radius of graphs

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The changes in distance Laplacian spectral radius of graphs resulting from graft transformations

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Extremal results on distance Laplacian spectral radius of graphs

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Distance Laplacian spectral radius of the complements of trees and unicyclic graphs

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On graphs with distance Laplacian spectral radius of multiplicity $n-3$

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Graphs with some distance Laplacian eigenvalue of multiplicity $n-3$

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Q4189313

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The distance spectrum of a tree

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Laplacian matrices of graphs: A survey

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Large families of laplacian isospectral graphs

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Q4873761

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Q4661931

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Q3114100

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On the distance Laplacian spectra of graphs

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Beyond graph energy: norms of graphs and matrices

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On the distance Laplacian spectral radius of bipartite graphs

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Correction to ``On the distance Laplacian spectral radius of bipartite graphs''

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On distance and distance Laplacian spectra of corona of two graphs

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On distance Laplacian spectral radius and chromatic number of graphs

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On the Sum of Distance Laplacian Eigenvalues of Graphs

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Distance Laplacian eigenvalues of graphs, and chromatic and independence number

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On distance signless Laplacian spectrum of graphs and spectrum of zero divisor graphs of ℤ<sub>n</sub>

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On distance Laplacian spectrum of zero divisor graphs of the ring $\mathbb{Z}_{n}$

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On distance Laplacian spectral determination of complete multipartite graphs

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On Laplacian integrability of comaximal graphs of commutative rings

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On distance Laplacian spectral ordering of some graphs

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Distance Laplacian spectral ordering of sun type graphs

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On distance Laplacian spectra of certain finite groups

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The distance Laplacian and distance signless Laplacian spectrum of the subdivision-vertex join and subdivision-edge join of two regular graphs

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Q5676231

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Q4065581

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Remoteness, proximity and few other distance invariants in graphs

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Large sets of long distance equienergetic graphs

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Q5408273

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On Isospectral Graphs.

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Q5402913

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Relation between the matching number and the second largest distance Laplacian eigenvalue of a graph

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Lower bounds of distance Laplacian spectral radii of $n$-vertex graphs in terms of matching number

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Proof for four conjectures about the distance Laplacian and distance signless Laplacian eigenvalues of a graph

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-cospectrality and -energy in cographs

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Which graphs are determined by their spectrum?

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Cospectral graphs and the generalized adjacency matrix

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Q3864537

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On the distance and distance signless Laplacian spectral radii of bicyclic graphs

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On the distance signless Laplacian spectral radius of graphs

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On the distance Laplacian spectral radius of bicyclic graphs

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The complements of path and cycle are determined by their distance (signless) Laplacian spectra

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Proof of a conjecture on the distance Laplacian spectral radius of graphs

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Lower bounds of distance Laplacian spectral radii of $n$-vertex graphs in terms of fractional matching number

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Q5420867

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A sharp upper bound for the spectral radius of a nonnegative matrix and applications

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The distance Laplacian spectral radius of clique trees

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On Distance Spectral Radius and Distance Energy of Graphs

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Identifiers

DOI

10.1016/j.dam.2024.10.001

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6657228