Zobrazeno 1 - 10
of 1 054
pro vyhledávání: '"Zero divisor graph"'
Autor:
Nasir Ali, Hafiz Muhammad Afzal Siddiqui, Muhammad Imran Qureshi, Manal Elzain Mohamed Abdalla, N. S. Abd EL-Gawaad, Fikadu Tesgera Tolasa
Publikováno v:
International Journal of Computational Intelligence Systems, Vol 17, Iss 1, Pp 1-10 (2024)
Abstract In this paper, we introduce the concept of fuzzy zero divisor graph (FZDG) for a commutative ring $$R$$ R denoted by $${\Gamma }_{f}\left(\text{R}\right)$$ Γ f R . We explore the multiset dimension (Mdim), a new variant of the metric dimens
Externí odkaz:
https://doaj.org/article/387e4b1b7601480eb54fc15488c064a6
Publikováno v:
AKCE International Journal of Graphs and Combinatorics, Vol 21, Iss 3, Pp 302-309 (2024)
In this article, we find the Randić spectrum of the weakly zero-divisor graph of a finite commutative ring [Formula: see text] with identity [Formula: see text], denoted as [Formula: see text], where [Formula: see text] is taken as the ring of integ
Externí odkaz:
https://doaj.org/article/73f42b2bf66e4bd18889a67e51e8ceb5
Autor:
Masreshaw Walle Abate, Wang Yao
Publikováno v:
Surveys in Mathematics and its Applications, Vol 19 (2024), Pp 109-126 (2024)
For an involution near ring 𝒩 and its ideal ℐ, the text introduces an involution ideal-based zero- divisor graph Γℐ*(𝒩) which is an undirected graph with vertex set { x ∈ 𝒩 - ℐ: x𝒩y ⊂ ℐ (or y𝒩x ⊂ ℑ ) for some y ∈
Externí odkaz:
https://doaj.org/article/c4a4abb3c218445e9f7fb1b1b158e38c
Publikováno v:
AKCE International Journal of Graphs and Combinatorics, Vol 21, Iss 2, Pp 143-151 (2024)
In this paper, we prove that the study of the comaximal graph of a finite commutative ring with identity is the same as the study of the zero-divisor graph of the specially constructed lattice. Also, we introduce the blow-up of a Boolean lattice usin
Externí odkaz:
https://doaj.org/article/3e1a890475374118952224b69559b4d5
Publikováno v:
AKCE International Journal of Graphs and Combinatorics, Vol 21, Iss 2, Pp 111-119 (2024)
The Wiener index of a connected graph G is [Formula: see text]. In this paper, we obtain the Wiener index of H-generalized join of graphs [Formula: see text]. As a consequence, we obtain some earlier known results in [Alaeiyan et al. in Aust. J. Basi
Externí odkaz:
https://doaj.org/article/ce1668d46f4a44d790b2447f52f000f6
Autor:
Mohammad Hamidi, Irina Cristea
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 15891-15910 (2024)
The aim of this paper is to introduce and study the concept of a hyperideal-based zero-divisor graph associated with a general hyperring. This is a generalized version of the zero-divisor graph associated with a commutative ring. For any general hype
Externí odkaz:
https://doaj.org/article/41f533e9a90d472b9c75c05496924519
Autor:
T. Tamizh Chelvam
Publikováno v:
AKCE International Journal of Graphs and Combinatorics, Vol 21, Iss 2, Pp 198-208 (2024)
Let R be a commutative ring with identity. For a positive integer [Formula: see text] let [Formula: see text] be the set of all n × n matrices over R and [Formula: see text] be the set of all non-zero matrices of [Formula: see text] The zero-divisor
Externí odkaz:
https://doaj.org/article/e76fc54f3cfa45cf921452be1f222569
Publikováno v:
AKCE International Journal of Graphs and Combinatorics, Vol 21, Iss 1, Pp 16-22 (2024)
AbstractThe aim of this paper is to study the determinant and inverse of the adjacency matrices of weighted and directed versions of Boolean graphs. Our approach is recursive. We describe the adjacency matrix of a weighted Boolean graph in terms of t
Externí odkaz:
https://doaj.org/article/b8eb43a6026e48fd80c0f856dce8072c