Results 51 to 60 of about 28,893 (164)

Adjacency Matrix of Product of Graphs

open access: yesKalpa Publications in Computing, 2018
In graph theory, different types of matrices associated with graph, e.g. Adjacency matrix, Incidence matrix, Laplacian matrix etc. Among all adjacency matrix play an important role in graph theory. Many products of two graphs as well as its generalized form had been studied, e.g., cartesian product, 2−cartesian product, tensor product, 2−tensor product
Urvashi Acharya, Himali Mehta
openaire   +2 more sources

Vertex colouring using the adjacency matrix

open access: yesJournal of Physics: Conference Series, 2019
Recently, graph theory is one of the most rapidly developing sciences. Graphs in its applications are generally used to represent discrete objects and relationships between these objects. The visual representation of a graph is to declare an object as a vertex, while the relationship between objects is expressed as an edge. One topic in graph theory is
K A Santoso   +4 more
openaire   +1 more source

γ-Inverse graph of some mixed graphs

open access: yesSpecial Matrices
Let GG be a graph. Then, the inverse graph G−1{G}^{-1} of GG is defined to be a graph that has adjacency matrix similar to the inverse of the adjacency matrix of GG, where the similarity matrix is ±1\pm 1 diagonal matrix. In this article, we introduced a
Boulahmar Wafa   +2 more
doaj   +1 more source

On the Displacement of Eigenvalues When Removing a Twin Vertex

open access: yesDiscussiones Mathematicae Graph Theory, 2020
Twin vertices of a graph have the same open neighbourhood. If they are not adjacent, then they are called duplicates and contribute the eigenvalue zero to the adjacency matrix.
Briffa Johann A., Sciriha Irene
doaj   +1 more source

Evaluating adjacency matrix for network visualization

open access: yes, 2021
Adjacency Matrix (AM) is one of the commonly used techniques to visualize networks. While an AM provides a clean and compact representation for dense networks, several studies have shown that it is not suitable for path-related tasks. Several visualization techniques have been proposed to address this limitation.
openaire   +2 more sources

The adjacency spectrum of two new operations of graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2018
Let be a graph and be its adjacency matrix. The eigenvalues of are the eigenvalues of and form the adjacency spectrum, denoted by . In this paper, we introduce two new operations and , and describe the adjacency spectra of and of regular graphs , and ...
Dijian Wang, Yaoping Hou, Zikai Tang
doaj   +1 more source

A formula for all minors of the adjacency matrix and an application

open access: yesSpecial Matrices, 2014
We supply a combinatorial description of any minor of the adjacency matrix of a graph. This descriptionis then used to give a formula for the determinant and inverse of the adjacency matrix, A(G), of agraph G, whenever A(G) is invertible, where G is ...
Bapat R. B., Lal A. K., Pati S.
doaj   +1 more source

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