Aγ Eigenvalues of Zero Divisor Graph of Integer Modulo and Von Neumann Regular Rings
The A γ matrix of a graph G is determined by A γ (G)=(1− γ) A (G)+ γ D (G), where 0≤ γ≤ 1,
A (G) and D (G) are the adjacency and the diagonal matrices of node degrees, respectively …
A (G) and D (G) are the adjacency and the diagonal matrices of node degrees, respectively …
[PDF][PDF] Aα matrix of commuting graphs of non-abelian groups
For a finite group G and a subset X∅ of G, the commuting graph, indicated by G= C (G, X), is
the simple connected graph with vertex set X and two distinct vertices x and y are edge …
the simple connected graph with vertex set X and two distinct vertices x and y are edge …
A study of upper ideal relation graphs of rings
B Baloda, P Mathil, J Kumar - AKCE International Journal of Graphs …, 2024 - Taylor & Francis
Let R be a ring with unity. The upper ideal relation graph Γ U (R) of the ring R is the simple
undirected graph whose vertex set is the set of all non-unit elements of R and two distinct …
undirected graph whose vertex set is the set of all non-unit elements of R and two distinct …
[PDF][PDF] On distance signless Laplacian spectra of power graphs of the integer modulo group
For a finite group G, the power graph P (G) is a simple connected graph whose vertex set is
the set of elements of G and two distinct vertices are adjacent if and only if one is a power of …
the set of elements of G and two distinct vertices are adjacent if and only if one is a power of …
On normalized Laplacian eigenvalues of power graphs associated to finite cyclic groups
For a simple connected graph G of order n, the normalized Laplacian is a square matrix of
order n, defined as ℒ (G)= D (G)−<? A3B2 [thinspace]?> 1 2 L (G) D (G)−<? A3B2 …
order n, defined as ℒ (G)= D (G)−<? A3B2 [thinspace]?> 1 2 L (G) D (G)−<? A3B2 …
On the cozero-divisor graphs associated to rings
P Mathil, B Baloda, J Kumar - AKCE International Journal of Graphs …, 2022 - Taylor & Francis
Let R be a ring with unity. The cozero-divisor graph of a ring R, denoted by Γ′(R), is an
undirected simple graph whose vertices are the set of all non-zero and non-unit elements of …
undirected simple graph whose vertices are the set of all non-zero and non-unit elements of …
On Normalized Laplacian Spectra of the Weakly Zero-Divisor Graph of the Ring ℤn
For a finite commutative ring R with identity 1≠ 0, the weakly zero-divisor graph of R
denoted as W Γ (R) is a simple undirected graph having vertex set as a set of non-zero zero …
denoted as W Γ (R) is a simple undirected graph having vertex set as a set of non-zero zero …
Exploring normalized distance Laplacian eigenvalues of the zero-divisor graph of ring
In this paper, we investigate the normalized distance Laplacian spectrum of the zero-divisor
graph of a commutative ring R, denoted by Γ (R), where R is taken as the ring of integers …
graph of a commutative ring R, denoted by Γ (R), where R is taken as the ring of integers …
[PDF][PDF] Laplacian spectrum of weakly zero-divisor graph of the ring Z n
M SHARIQ, P MATHIL, J KUMAR - arXiv preprint arXiv …, 2023 - researchgate.net
MOHD SHARIQ, PRAVEEN MATHIL, JITENDER KUMAR* Abstract. Let R be a commutative
ring with unity. The weakly zero-divisor graph WΓ (R) of the ring R is the simple undirected …
ring with unity. The weakly zero-divisor graph WΓ (R) of the ring R is the simple undirected …
On the normalized distance laplacian eigenvalues of graphs
The normalized distance Laplacian matrix (D L-matrix) of a connected graph Γ is defined by
DL (Γ)= I− T r (Γ)− 1/2 D (Γ) T r (Γ)− 1/2, where D (Γ) is the distance matrix and T r (Γ) is the …
DL (Γ)= I− T r (Γ)− 1/2 D (Γ) T r (Γ)− 1/2, where D (Γ) is the distance matrix and T r (Γ) is the …