Results 31 to 40 of about 2,956,415 (357)
Universal adjacency spectrum of zero divisor graph on the ring and its complement
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
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
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When Can Matrix Query Languages Discern Matrices? [PDF]
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
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
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
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Steganalysis by subtractive pixel adjacency matrix [PDF]
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
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
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Wasserstein metric for improved quantum machine learning with adjacency matrix representations [PDF]
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
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
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Theoretical study of energy, inertia and nullity of phenylene and anthracene
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
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