Results 31 to 40 of about 17,702 (242)

Frequency Assignment Model of Zero Divisor Graph [PDF]

Journal of Applied Mathematics, 2021
Given a frequency assignment network model is a zero divisor graph Γ = V , E
R. Radha, N. Mohamed Rilwan
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Algebraic Structure Graphs over the Commutative Ring ${\mathbb{Z}}_m$: Exploring Topological Indices and Entropies Using $\mathbb{M}$-Polynomials

Mathematics, 2023
The field of mathematics that studies the relationship between algebraic structures and graphs is known as algebraic graph theory. It incorporates concepts from graph theory, which examines the characteristics and topology of graphs, with those from ...
Amal S. Alali, Shahbaz Ali, Noor Hassan, Ali M. Mahnashi, Yilun Shang, Abdullah Assiry   +5 more
doaj   +1 more source

Upper dimension and bases of zero-divisor graphs of commutative rings

AKCE International Journal of Graphs and Combinatorics, 2020
For a commutative ring with non-zero zero divisor set , the zero divisor graph of is with vertex set , where two distinct vertices and are adjacent if and only if .
S. Pirzada, M. Aijaz, S.P. Redmond
doaj   +1 more source

Reduced zero-divisor graphs of posets [PDF]

Transactions on Combinatorics, 2018
This paper investigates properties of the reduced zero-divisor graph of a poset. We show that a vertex is an annihilator prime ideal if and only if it is adjacent to all other annihilator prime ideals and there are always two annihilator prime ideals ...
Deiborlang Nongsiang, Promode Saikia
doaj   +1 more source

Signed Zero-Divisor Graph

Electronic Notes in Discrete Mathematics, 2017
Abstract Let R be a finite commutative ring with unity ( 1 ≠ 0 ) and let Z ( R ) ⁎ be the set of non-zero zero-divisors of R. We associate a (simple) graph Γ ( R ) to R with vertices as elements of R and for distinct x , y ∈ R , the vertices x and y are adjacent if and only if xy = 0.
Deepa Sinha, Deepakshi Sharma, Bableen Kaur   +2 more
openaire   +1 more source

Commutative rings with ideal based zero divisor graph of orders 12,13 and 14 [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics
An recent years, several studies have emerged on the graphs for commutative rings. Researchers have investigated ideal based zero-divisor graphs linked to commutative rings, delving into the characteristics of these graphs.
Raad Shukur, Husam Mohammad
doaj   +1 more source

Perfect zero-divisor graphs

Discrete Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Avinash Patil, B.N. Waphare, Vinayak Joshi   +2 more
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Tropical curves, graph complexes, and top weight cohomology of M_g

, 2020
We study the topology of a space parametrizing stable tropical curves of genus g with volume 1, showing that its reduced rational homology is canonically identified with both the top weight cohomology of M_g and also with the genus g part of the homology
Chan, Melody, Galatius, Soren, Payne, Sam   +2 more
core   +1 more source

On Global Offensive Alliance in Zero-Divisor Graphs

Mathematics, 2022
Let Γ(V,E) be a simple connected graph with more than one vertex, without loops or multiple edges. A nonempty subset S⊆V is a global offensive alliance if every vertex v∈V−S satisfies that δS(v)≥δS¯(v)+1.
Raúl Juárez Morales, Gerardo Reyna Hernández, Omar Rosario Cayetano, Jesús Romero Valencia   +3 more
doaj   +1 more source

Leavitt path algebras of Cayley graphs $C_n^j$ [PDF]

, 2017
Let $n$ be a positive integer. For each $0\leq j \leq n-1$ we let $C_n^j$ denote the Cayley graph of the cyclic group $\mathbb{Z}_n$ with respect to the subset $\{1,j\}$.
Abrams, Gene, Canto, Cristóbal Gil, Erickson, Stefan   +2 more
core   +2 more sources