Results 31 to 40 of about 2,956,415 (357)

Universal adjacency spectrum of zero divisor graph on the ring and its complement

open access: yesAKCE International Journal of Graphs and Combinatorics, 2021
For a commutative ring R with unity, the zero divisor graph is an undirected graph with all non-zero zero divisors of R as vertices and two distinct vertices u and v are adjacent if and only if uv = 0. For a simple graph G with the adjacency matrix A and
Saraswati Bajaj, Pratima Panigrahi
doaj   +1 more source

A Note on the Estrada Index of the Aα-Matrix

open access: yesMathematics, 2021
Let G be a graph on n vertices. The Estrada index of G is an invariant that is calculated from the eigenvalues of the adjacency matrix of a graph. V. Nikiforov studied hybrids of A(G) and D(G) and defined the Aα-matrix for every real α∈[0,1] as: Aα(G)=αD(
Jonnathan Rodríguez, Hans Nina
doaj   +1 more source

When Can Matrix Query Languages Discern Matrices? [PDF]

open access: yes, 2020
We investigate when two graphs, represented by their adjacency matrices, can be distinguished by means of sentences formed in MATLANG, a matrix query language which supports a number of elementary linear algebra operators.
Geerts, Floris
core   +1 more source

Characteristic polynomial and eigenvalues of anti-adjacency matrix of directed unicyclic corona graph

open access: yesJournal of Physics: Conference Series, 2021
A directed graph can be represented by several matrix representations, such as the anti-adjacency matrix. This paper discusses the general form of characteristic polynomial and eigenvaluesof the anti-adjacencymatrix of directed unicyclic corona graph ...
N. Hasyyati, K. Sugeng, S. Aminah
semanticscholar   +1 more source

The bipartite Laplacian matrix of a nonsingular tree

open access: yesSpecial Matrices, 2023
For a bipartite graph, the complete adjacency matrix is not necessary to display its adjacency information. In 1985, Godsil used a smaller size matrix to represent this, known as the bipartite adjacency matrix.
Bapat Ravindra B.   +2 more
doaj   +1 more source

Steganalysis by subtractive pixel adjacency matrix [PDF]

open access: yesProceedings of the 11th ACM workshop on Multimedia and security, 2009
This paper presents a method for detection of steganographic methods that embed in the spatial domain by adding a low-amplitude independent stego signal, an example of which is least significant bit (LSB) matching. First, arguments are provided for modeling the differences between adjacent pixels using first-order and second-order Markov chains ...
Tomáš Pevny   +2 more
openaire   +1 more source

The Optimal Graph Whose Least Eigenvalue is Minimal among All Graphs via 1-2 Adjacency Matrix

open access: yesJournal of Mathematics, 2021
All graphs under consideration are finite, simple, connected, and undirected. Adjacency matrix of a graph G is 0,1 matrix A=aij=0, if vi=vj or  dvi,vj≥21, if  dvi,vj=1.. Here in this paper, we discussed new type of adjacency matrix known by 1-2 adjacency
Lubna Gul   +3 more
doaj   +1 more source

Wasserstein metric for improved quantum machine learning with adjacency matrix representations [PDF]

open access: yesMachine Learning: Science and Technology, 2020
We study the Wasserstein metric to measure distances between molecules represented by the atom index dependent adjacency ‘Coulomb’ matrix, used in kernel ridge regression based supervised learning. Resulting machine learning models of quantum properties,
O. Çaylak   +3 more
semanticscholar   +1 more source

Adjacency Maps and Efficient Graph Algorithms

open access: yesAlgorithms, 2022
Graph algorithms that test adjacencies are usually implemented with an adjacency-matrix representation because the adjacency test takes constant time with adjacency matrices, but it takes linear time in the degree of the vertices with adjacency lists. In
Gabriel Valiente
doaj   +1 more source

Theoretical study of energy, inertia and nullity of phenylene and anthracene

open access: yesOpen Chemistry, 2021
Energy of a molecule plays an important role in physics, chemistry and biology. In mathematics, the concept of energy is used in graph theory to help other subjects such as chemistry and physics.
Ahmad Zaheer   +4 more
doaj   +1 more source

Home - About - Disclaimer - Privacy