Results 41 to 50 of about 17,702 (242)
Computing graph gonality is hard [PDF]
, 2019 There are several notions of gonality for graphs. The divisorial gonality dgon(G) of a graph G is the smallest degree of a divisor of positive rank in the sense of Baker-Norine.
Gijswijt, Dion +2 more
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Directed zero-divisor graph and skew power series rings [PDF]
Transactions on Combinatorics, 2018 Let $R$ be an associative ring with identity and $Z^{\ast}(R)$ be its set of non-zero zero-divisors. Zero-divisor graphs of rings are well represented in the literature of commutative and non-commutative rings. The directed zero-divisor graph of $R$
Ebrahim Hashemi +2 more
doaj +1 more source
Group Action on the Set of Nonunits in Rings
Journal of Mathematics, 2023 Let R be a ring, G be the group of all units of R, and X=R−G∪0. In this paper, we investigate avxx∈X=oxx∈X for a ring R, where avx is the set of all vertices of the zero-divisor graph of R adjacent to x.
Eman S. Almotairi +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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ZERO-DIVISOR GRAPHS OF FINITE COMMUTATIVE RINGS: A SURVEY [PDF]
Surveys in Mathematics and its Applications, 2020 This article gives a comprehensive survey on zero-divisor graphs of finite commutative rings. We investigate the results on structural properties of these graphs.
Pradeep Singh, Vijay Kumar Bhat
doaj
The Zero Divisor Graphs of a finite Certain Rings [PDF]
المجلة العراقية للعلوم الاحصائية, 2013 For each commutative ring we associate a ...
Nazar H. Shuker, Husam Q. Mohammad
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Line Graphs of Monogenic Semigroup Graphs
Journal of Mathematics, 2021 The concept of monogenic semigroup graphs ΓSM is firstly introduced by Das et al. (2013) based on zero divisor graphs. In this study, we mainly discuss the some graph properties over the line graph LΓSM of ΓSM.
Nihat Akgunes +2 more
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Generalized Irreducible Divisor Graphs [PDF]
, 2013 In 1988, I. Beck introduced the notion of a zero-divisor graph of a commutative rings with $1$. There have been several generalizations in recent years. In particular, in 2007 J. Coykendall and J. Maney developed the irreducible divisor graph.
Mooney, Christopher Park
core
Open Mathematics, 2015 Recently, an interest is developed in estimating genus of the zero-divisor graph of a ring. In this note we investigate genera of graphs of a class of zero-divisor rings (a ring in which every element is a zero divisor).
Nauman Syed Khalid, Shafee Basmah H.
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Noûs, EarlyView.ABSTRACT It is a truism of mathematics that differences between isomorphic number systems are irrelevant to arithmetic. This truism is deeply rooted in the modern axiomatic method and underlies most strands of arithmetical structuralism, the view that arithmetic is about some abstract number structure.
Balthasar Grabmayr
wiley +1 more source