Results 71 to 80 of about 180 (93)

Core Knowledge Learning Framework for Graph Adaptation and Scalability Learning

Graph classification is a pivotal challenge in machine learning, especially within the realm of graph-based data, given its importance in numerous real-world applications such as social network analysis, recommendation systems, and bioinformatics ...
Xu, Guangning, Huang, Hu, Huang, Zhichao, Zhang, Bowen, Fan, Xiaomao, Dai, Genan   +5 more
core  

SA-GDA: Spectral Augmentation for Graph Domain Adaptation

Graph neural networks (GNNs) have achieved impressive impressions for graph-related tasks. However, most GNNs are primarily studied under the cases of signal domain with supervised training, which requires abundant task-specific labels and is difficult ...
Tang, Jiliang, Pang, Jinhui, Xiao, Mingyan, Wang, Zixuan, Yin, Nan   +4 more
core  

When is the annihilating ideal graph of a zero-dimensional quasisemilocal commutative ring complemented?

Arab Journal of Mathematical Sciences, 2016
Let R be a commutative ring with identity. Let A(R) denote the collection of all annihilating ideals of R (that is, A(R) is the collection of all ideals I of R which admits a nonzero annihilator in R).
S Visweswaran
exaly   +2 more sources

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The strongly annihilating-submodule graph of a module

2020
Summary: In this paper, we define the notion of strongly annihilating-submodule graph of modules. This graph is a straightforward common generalization of the annihilating-submodule graph and the annihilating-ideal graph. In addition to providing the properties of this graph in general, we investigate the behavior of the graph when modules are reduced ...
FarziSafarabadi, Ahadollah, Beyranvand, Reza   +1 more
openaire   +2 more sources

On metric dimension and crosscap analysis of sum-annihilating essential ideal graph of commutative rings

Journal of Taibah University for Science
Consider a commutative ring with unity denoted as [Formula: see text]. An ideal I of a ring [Formula: see text] is called an annihilating ideal if there exists a non-zero element [Formula: see text] such that rI = 0.
Nadeem Ur Rehman, Mohd Nazim
exaly   +2 more sources

Resolvability in complement of the intersection graph of annihilator submodules of a module

2020
Summary: Let \(R\) be a commutative ring and \(M\) be an \(R\)-module. The intersection graph of annihilator submodules of \(M\), denoted by \(GA(M)\), is a simple undirected graph whose vertices are the classes of elements of \(Z(M)\setminus \mathrm{Ann}_R(M)\) and two distinct classes \([a]\) and \([b]\) are adjacent if and only if \(\mathrm{Ann}_M(a)
Payrovi, Sh., Pejman, S. B., Babaei, S.
openaire   +1 more source

Annihilating submodule graphs for modules over commutative rings

2015
Summary: In this article, we give several generalizations of the concept of annihilating ideal graph over a commutative ring with identity to modules. We observe that, over a commutative ring, \(R, \mathbb{AG}_*(_RM)\) is connected, and \(\mathrm{diam}\mathbb{AG}_*(_RM)\leq 3\).
openaire   +2 more sources

On two extensions of the annihilating-ideal graph of commutative rings

Georgian Mathematical Journal, 2023
Mohd Nazim, Nadeem Ur Rehman, Junaid Nisar   +2 more
exaly  

On a New Extension of Annihilating-Ideal Graph of Commutative Rings

Springer Proceedings in Mathematics and Statistics, 2022
Nadeem Ur Rehman, Mohd Nazim, Rehman Nadeem Ur   +2 more
exaly  

Strong metric dimension in annihilating-ideal graph of commutative rings

Applicable Algebra in Engineering, Communications and Computing, 2022
R Nikandish
exaly