Results 31 to 40 of about 24,531 (183)
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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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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Eulerian and pancyclic zero-divisor graphs of ordered sets
AKCE International Journal of Graphs and CombinatoricsIn this paper, we determine when the zero-divisor graph of a special class of a finite pseudocomplemented poset is Eulerian. Also, we deal with Hamiltonian, vertex pancyclic, and edge pancyclic properties of the complement of a zero-divisor graph of ...
Nilesh Khandekar, Vinayak Joshi
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Zero divisors and units with small supports in group algebras of torsion-free groups
, 2017 We associate a graph to a possible non-zero zero-divisor in the group algebra of a torsion-free group.Comment: to appear in Communications in Algebra.
Abdollahi, Alireza, Taheri, Zahra
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Ring Classification of Ideal-Based Zero Divisor Graph with Vertices 9
Al-Kitab Journal for Pure SciencesLet R be a finite commutative ring with a non-zero unit, and L be an ideal of R. focuses on expanding the notation of the Zero Divisor Graph to create what is known as the Ideal-Based Zero Divisor Graph. The main goal is to classify rings using the ideal-
Husam Q. Mohammad +2 more
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The Zero Divisor Graph of the Ring Z_(2^2 p)
ARO-The Scientific Journal of Koya University, 2016 In this paper, we consider the crossing number and the chromatic number of the zero divisor graph Γ(Z_(2^2 p)) to show that this type of zero divisor graphs is bipartite graph, and the smallest cycle in Γ(Z_(2^2 p)) is of length four this implies that ...
Nazar H. Shuker, Payman A. Rashed
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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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Zero Divisor Graph of Quotient Ring
Cauchy: Jurnal Matematika Murni dan AplikasiRecently, a lot of research has been carried out regarding graphs built from algebraic structures, including ring structures. One important example of a graph constructed from a ring is the zero divisor graph.
Ayunda Faizatul Musyarrofah +2 more
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