Results 61 to 70 of about 272 (159)

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

Discussiones 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

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

05C50; 05E30; 51E05; Divisible design graph; Strongly regular graph; Symmetric ...
Gavrilyuk, Alexander L., Kabanov, Vladislav V.   +1 more
core   +1 more source

Some stable and closed-shell structures of anticancer drugs by graph theoretical parameters. [PDF]

Heliyon, 2023
Koam ANA, Ahmad A, Azeem M, Hakami KH, Elahi K.   +4 more
europepmc   +1 more source

Sensor Location Problem for a Multigraph [PDF]

, 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., Pesheva, Y. H., Pilipchuk, L. A.   +2 more
core  

Some spectral bounds for the harmonic matrix

Analele 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

Sombor spectra of chain graphs. [PDF]

Heliyon, 2023
Imran M, Rather BA.
europepmc   +1 more source

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

Special 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, Koledin Tamara, Stanić Zoran   +2 more
doaj   +1 more source

Vaccination strategy on a geographic network

, 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, Badaoui, Mohamad, Caputo, Jean-Guy   +2 more
core  

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

Special 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

Spectral characterization of new classes of multicone graphs

, 2017
This paper deals with graphs that are known as multicone graphs. A multicone graph is a graph obtained from the join of a clique and a regular graph. Let w, l, m be natural numbers and k is a natural number.
ZEYDI ABDIAN, Ali, MIRAFZAL, Seyed Morteza   +1 more
core   +1 more source