Results 71 to 80 of about 279 (161)

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

Biclique Decompositions and Hermitian Rank [PDF]

open access: yes, 1999
The Hermitian rank, h(A), of a Hermitian matrix A is defined and shown to equal maxfn+ (A); n \Gamma (A)g, the maximum of the numbers of positive and negative eigenvalues of A.
Valerie L. Watts   +6 more
core   +1 more source

Universal Adjacency Matrices with Two Eigenvalues [PDF]

open access: yes
AMS Mathematics Subject Classification: 05C50.Adjacency matrix;Universal adjacency matrix;Laplacian matrix;signless Laplacian;Graph spectra;Eigenvalues;Strongly regular ...
Omidi, G.R., Haemers, W.H.
core  

Strongly regular graphs decomposable into a divisible design graph and a Hoffman coclique

open access: yes
05C50; 05E30; 51E05; Divisible design graph; Strongly regular graph; Symmetric ...
Gavrilyuk, Alexander L.   +1 more
core   +1 more source

Sensor Location Problem for a Multigraph [PDF]

open access: yes, 2013
MSC 2010: 05C50, 15A03, 15A06, 65K05, 90C08, 90C35We introduce sparse linear underdetermined systems with embedded network structure. Their structure is inherited from the non-homogeneous network ow programming problems with nodes of variable intensities.
Vishnevetskaya, T. S.   +2 more
core  

Sombor spectra of chain graphs. [PDF]

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

A Lower Bound for the Spectral Radius of Graphs with Fixed Diameter [PDF]

open access: yes
AMS classifications: 05C50, 05E99;graphs;spectral radius;diameter;bound;degree ...
Koolen, J.H.   +3 more
core  

On Almost Distance-Regular Graphs [PDF]

open access: yes
2010 Mathematics Subject Classification: 05E30, 05C50;distance-regular graph;walk-regular graph;eigenvalues;predistance ...
Fiol, M.A.   +4 more
core  

Vaccination strategy on a geographic network

open access: yes, 2022
We considered a simple model describing the propagation of an epidemic on a geographical network. The initial rate of growth of the epidemic is the maximal eigenvalue of a matrix formed by the susceptibles and the graph Laplacian.
Knippel, Arnaud   +2 more
core  

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