Results 41 to 50 of about 24,531 (183)

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, Husam Mohammad, Luma Khaleel   +2 more
doaj   +1 more source

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  

Tropical curves, graph complexes, and top weight cohomology of M_g

, 2020
We study the topology of a space parametrizing stable tropical curves of genus g with volume 1, showing that its reduced rational homology is canonically identified with both the top weight cohomology of M_g and also with the genus g part of the homology
Chan, Melody, Galatius, Soren, Payne, Sam   +2 more
core   +1 more source

The DNA of Calabi–Yau Hypersurfaces

Fortschritte der Physik, EarlyView.
Abstract Genetic Algorithms are implemented for triangulations of four‐dimensional reflexive polytopes, which induce Calabi–Yau threefold hypersurfaces via Batyrev's construction. These algorithms are shown to efficiently optimize physical observables such as axion decay constants or axion–photon couplings in string theory compactifications.
Nate MacFadden, Andreas Schachner, Elijah Sheridan   +2 more
wiley   +1 more source

Note on Ideal Based Zero-Divisor Graph of a Commutative Ring

Discussiones Mathematicae - General Algebra and Applications, 2017
In this paper, we consider the ideal based zero divisor graph ΓI(R) of a commutative ring R. We discuss some graph theoretical properties of ΓI(R) in relation with zero divisor graph.
Mallika A., Kala R., Selvakumar K.
doaj   +1 more source

Fault-tolerant metric dimension of zero-divisor graphs of commutative rings

AKCE International Journal of Graphs and Combinatorics, 2021
Let R be a commutative ring with identity. The zero-divisor graph of R denoted by is an undirected graph where is the set of non-zero zero-divisors of R and there is an edge between the vertices z1 and z2 in if A set of vertices S resolves a graph G if ...
Sahil Sharma, Vijay Kumar Bhat
doaj   +1 more source

Hyperideal-based zero-divisor graph of the general hyperring $ \mathbb{Z}_{n} $

AIMS Mathematics
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.
Mohammad Hamidi, Irina Cristea
doaj   +1 more source

A note on the zero divisor graph of a lattice [PDF]

Transactions on Combinatorics, 2014
Let $L$ be a lattice with the least element $0$. An element $xin L$ is a zero divisor if $xwedge y=0$ for some $yin L^*=Lsetminus left{0right}$. The set of all zero divisors is denoted by $Z(L)$.
T. Tamizh Chelvam , S. Nithya
doaj  

Structure and Computation

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

Commutative rings with ideal based zero divisor graph of orders 12,13 and 14 [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics
An recent years, several studies have emerged on the graphs for commutative rings. Researchers have investigated ideal based zero-divisor graphs linked to commutative rings, delving into the characteristics of these graphs.
Raad Shukur, Husam Mohammad
doaj   +1 more source