Results 101 to 110 of about 1,283,848 (178)
A Graph-Theoretic Approach to Ring Analysis: Dominant Metric Dimensions in Zero-Divisor Graphs
, 2023 This article investigates the concept of dominant metric dimensions in zero divisor graphs (ZD-graphs) associated with rings. Consider a finite commutative ring with unity, denoted as R, where nonzero elements x and y are identified as zero divisors if ...
Ali, Nasir +2 more
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On the zero divisor graphs of Galois rings [PDF]
, 2015 Paper presented at the 3rd Strathmore International Mathematics Conference (SIMC 2015), 3 - 7 August 2015, Strathmore University, Nairobi, Kenya.Let R be a Galois ring.
Oduor, Maurice Owino
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Energy of zero-divisor graphs via distance-based fuzzy adjacency matrices
In this paper, we investigate the energy of zero-divisor graphs of finite commutative rings with unity using the distance-based fuzzy adjacency matrix. In view of this, first we characterize the rings whose zero-divisor graphs have energy zero and then ...
Rakesh Kumar, R.K. Bairwa, Pranjali
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Colorings of Zero-Divisor Graphs of Commutative Rings [PDF]
, 2015 We will focus on Beck?s conjecture that the chromatic number of a zero-divisor graph of a ring R is equal to the clique number of the ring R. We begin by calculating the chromatic number of the zero-divisor graphs for some finite rings and characterizing
Ramos, Rebecca Elizabeth
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A Comparison of Zero Divisor Graphs [PDF]
, 2009 A zero divisor graph of a ring R is a visual representation of the zero divisors and their relationships in R. (If a and b are non-zero elements in R such that ab = 0, then a and b are vertices of the graph and connected by an edge.) These graphs have ...
Spiroff, Sandra
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Local Rings with Genus Two Zero Divisor Graph
, 2010 To each commutative ring R we can associate a graph, the zero divisor graph of R, whose vertices are the zero divisors of R, and such that two vertices are adjacent if their product is zero.
Bloomfield, Nathan +3 more
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A Combinatorial Analysis of Zero-Divisor Graphs on Certain Polynomial Rings
, 2013 The colouring of zero-divisor graphs on certain quotients of polynomial rings can be effectively studied by virtue of a natural correspondence between the algebraic and the combinatorial structure.
VIETRI, Andrea
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The Congruence-Based Zero-Divisor Graph [PDF]
, 2015 Let R be a commutative ring with nonzero identity and ~ a multiplicative congruence relation on R. Then, R/~ is a semigroup with multiplication [x][y] = [xy], where [x] is the congruence class of an element x of R.
Lewis, Elizabeth Fowler
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Eigenvalues of zero-divisor graphs
V diplomski nalogi spoznamo grafe deliteljev niča. Ti povežejo algebrajske strukture in teorijo grafov na zanimiv in intuitiven način. Tako lahko s študijem enega področja pridemo do uporabnih dognanj na drugem.
Verbič, Jošt
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A Study on the Structure of Ideal-Based Non-Zero Divisor Graphs Associated with <i>Z</i> <sub><i>n</i></sub>. [PDF]
F1000ResKadem S, Abd Aubad A.
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