On Laplacian Eigenvalues of the Zero-Divisor Graph Associated to the Ring of Integers Modulo n
Given a commutative ring R with identity 1≠ 0, let the set Z (R) denote the set of zero-
divisors and let Z*(R)= Z (R)\{0} be the set of non-zero zero-divisors of R. The zero-divisor …
divisors and let Z*(R)= Z (R)\{0} be the set of non-zero zero-divisors of R. The zero-divisor …
On signless Laplacian spectrum of the zero divisor graphs of the ring
For a finite commutative ring $ R $ with identity $1\neq 0$, the zero divisor graph $\Gamma
(R) $ is a simple connected graph having vertex set as the set of nonzero zero divisors of …
(R) $ is a simple connected graph having vertex set as the set of nonzero zero divisors of …
On distance Laplacian spectrum of zero divisor graphs of the ring
For a finite commutative ring $\mathbb {Z} _ {n} $ with identity $1\neq 0$, the zero divisor
graph $\Gamma (\mathbb {Z} _ {n}) $ is a simple connected graph having vertex set as the …
graph $\Gamma (\mathbb {Z} _ {n}) $ is a simple connected graph having vertex set as the …
On distance Laplacian spectra of certain finite groups
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 x and y are adjacent if and only if xi= y or …
the set of elements of G and two distinct vertices x and y are adjacent if and only if xi= y or …
[PDF][PDF] On normalized Laplacian spectrum of zero divisor graphs of commutative ring Zn
For a finite commutative ring Zn with identity 1= 0, the zero divisor graph Γ (Zn) is a simple
connected graph having vertex set as the set of non-zero zero divisors, where two vertices x …
connected graph having vertex set as the set of non-zero zero divisors, where two vertices x …
Line graphs of unit graphs associated with the direct product of rings
Let R be a finite commutative ring with non zero identity. The unit graph of R denoted by G
(R) is the graph obtained by setting all the elements of R to be the vertices of a graph and …
(R) is the graph obtained by setting all the elements of R to be the vertices of a graph and …
[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 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 …
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 …