Results 81 to 90 of about 2,530 (150)

Eigenvalues and Perfect Matchings [PDF]

open access: yes
AMS classification: 05C50, 05C70, 05E30.graph;perfect matching;Laplacian matrix;eigenvalues.
Brouwer, A.E., Haemers, W.H.
core   +1 more source

Spectra of R-Vertex Join and R-Edge Join of Two Graphs

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2018
The R-graph R(G) of a graph G is the graph obtained from G by intro- ducing a new vertex ue for each e ∈ E(G) and making ue adjacent to both the end vertices of e. In this paper, we determine the adjacency, Lapla- cian and signless Laplacian spectra of R-
Das Arpita, Panigrahi Pratima
doaj   +1 more source

Enumeration of Cospectral Graphs [PDF]

open access: yes
AMS classification: 05C50;graphs;eigenvalues ...
Haemers, W.H., Spence, E.
core   +1 more source

The Minimal Spectral Radius of Graphs with a Given Diameter [PDF]

open access: yes
AMS classsifications: 05C50; 05E99; 94C15;graphs;spectral radius;diameter;networks;virus ...
Dam, E.R. van, Kooij, R.E.
core   +1 more source

Connected graphs cospectral with a Friendship graph

open access: yes, 2014
Let $n$ be any positive integer, the friendship graph $F_n$ consist of $n$ edge-disjoint triangles that all of them meeting in one vertex. A graph $G$ is called cospectral with a graph $H$ if their adjacency matrices have the same eigenvalues.
Abdollahi, Alireza, Janbaz, Shahrooz
core   +1 more source

Sombor spectra of chain graphs. [PDF]

open access: yesHeliyon, 2023
Imran M, Rather BA.
europepmc   +1 more source

Some spectral bounds for the harmonic matrix

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
The aim of this note is to establish new spectral bounds for the harmonic matrix.
Das Kinkar Ch., Fonseca Carlos M. da
doaj   +1 more source

A note on the eigenvalue free intervals of some classes of signed threshold graphs

open access: yesSpecial Matrices, 2019
We consider a particular class of signed threshold graphs and their eigenvalues. If Ġ is such a threshold graph and Q(Ġ ) is a quotient matrix that arises from the equitable partition of Ġ , then we use a sequence of elementary matrix operations to prove
Anđelić Milica   +2 more
doaj   +1 more source

Diagonalizable matrices whose graph is a tree: the minimum number of distinct eigenvalues and the feasibility of eigenvalue assignments

open access: yesSpecial Matrices, 2019
Considered are combinatorially symmetric matrices, whose graph is a given tree, in view of the fact recent analysis shows that the geometric multiplicity theory for the eigenvalues of such matrices closely parallels that for real symmetric (and complex ...
Saiago Carlos M.
doaj   +1 more source

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