Results 51 to 60 of about 22,120 (235)
Classification of Zero Divisor Graphs of Commutative Rings of Degrees 11,12 and 13 [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2014 In 2005 Wang investigated the zero divisor graphs of degrees 5,6,9 and 10. In 2012 Shuker and Mohammad investigated the zero divisor graphs of degrees 7 and 8. In this paper, we consider zero divisor graphs of commutative rings of degrees 11, 12 and 13.
Nazar Shuker, Husam Mohammad
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The zero-divisor graph of an amalgamated algebra
Rendiconti del Circolo Matematico di Palermo Series 2, 2020 Let $R$ and $S$ be commutative rings with identity, $f:R\to S$ a ring homomorphism and $J$ an ideal of $S$. Then the subring $R\bowtie^fJ:=\{(r,f(r)+j)\mid r\in R$ and $j\in J\}$ of $R\times S$ is called the amalgamation of $R$ with $S$ along $J$ with respect to $f$.
Y. Azimi, M. R. Doustimehr
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Computation of eccentric topological indices of zero-divisor graphs based on their edges
AIMS Mathematics, 2022 The topological index of a graph gives its topological property that remains invariant up to graph automorphism. The topological indices which are based on the eccentricity of a chemical graph are molecular descriptors that remain constant in the whole ...
Ali N. A. Koam +3 more
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Classification of Zero Divisor Graphs of a Commutative Ring With Degree Equal 7 and 8 [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2013 In 2005 J. T Wang investigated the zero divisor graphs of degrees 5 and 6. In this paper, we consider the zero divisor graphs of a commutative rings of degrees 7 and 8.
Nazar Shuker, Husam Mohammad
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Zero-divisor graphs of twisted partial skew generalized power series rings [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – The aim of this paper is to investigate the relationship between the ring structure of the twisted partial skew generalized power series ring RG,≤;Θ and the corresponding structure of its zero-divisor graph Γ̅RG,≤;Θ. Design/methodology/approach
Mohammed H. Fahmy +2 more
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Distances in zero-divisor and total graphs from commutative rings–A survey
AKCE International Journal of Graphs and Combinatorics, 2016 There are so many ways to construct graphs from algebraic structures. Most popular constructions are Cayley graphs, commuting graphs and non-commuting graphs from finite groups and zero-divisor graphs and total graphs from commutative rings.
T. Tamizh Chelvam, T. Asir
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Component graphs of vector spaces and zero-divisor graphs of ordered sets
AKCE International Journal of Graphs and CombinatoricsIn this paper, nonzero component graphs and nonzero component union graphs of finite-dimensional vector spaces are studied using the zero-divisor graph of a specially constructed 0–1-distributive lattice and the zero-divisor graph of rings.
Nilesh Khandekar +2 more
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Zero Divisor Graph Of ZpM qr with Applications [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2020 In this paper, we study zero-divisor graph of the ring Zpmqr and give some properties of this graph. Also, we find the chromatic number, Hosoya polynomial and Wiener index of this graph.
Nazar Shuker +2 more
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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
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Molecular Topology Index of a Zero Divisor Graph on a Ring of Integers Modulo Prime Power Order
Contemporary Mathematics and Applications (ConMathA)In chemistry, graph theory has been widely utilized to address molecular problems, with numerous applications in graph theory and ring theory within this field.
Didit Satriawan +5 more
semanticscholar +1 more source