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Axioms, Volume 14, Issue 7

July 2025 - 67 articles

Cover Story: This paper explores two generalizations of the classical Ramsey number: the vertex-disjoint and edge-disjoint Ramsey numbers of sets of graphs without isolated vertices. We determine exact values of vertex-disjoint Ramsey numbers for all sets of graphs of size 2 or 3 and all integers t ≥ 2, and explore edge-disjoint Ramsey numbers for selected sets and values of t. We establish upper and lower bounds, examine their sharpness, and highlight cases of strict inequalities. Our findings broaden the scope of Ramsey theory and suggest promising directions for future exploration. View this paper
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Articles (67)

  • Article
  • Open Access
679 Views
20 Pages

21 July 2025

In this work we propose a new second-order implicit–explicit difference scheme for a pseudoparabolic equation with a nonlinear flux term. The proposed method is evaluated in comparison with two known numerical approaches. The significance of th...

  • Article
  • Open Access
1 Citations
570 Views
23 Pages

On Joint Progressively Censored Gumbel Type-II Distributions: (Non-) Bayesian Estimation with an Application to Physical Data

  • Mustafa M. Hasaballah,
  • Mahmoud E. Bakr,
  • Oluwafemi Samson Balogun and
  • Arwa M. Alshangiti

20 July 2025

This paper presents a comprehensive statistical analysis of the Gumbel Type-II distribution based on joint progressive Type-II censoring. It derives the maximum likelihood estimators for the distribution parameters and constructs their asymptotic con...

  • Article
  • Open Access
1 Citations
852 Views
19 Pages

20 July 2025

The paper presents an enhanced numerical framework for computing the one-dimensional fast Fractional Fourier Transform (FRFT) by integrating closed-form Composite Newton-Cotes quadrature rules. We show that a FRFT of a QN-length weighted sequence can...

  • Article
  • Open Access
563 Views
20 Pages

18 July 2025

This paper introduces and investigates the fundamental properties of L-primals, a generalization of the primal concept within the framework of L-fuzzy sets and complete lattices. Building upon the established theories of L-topological spaces and L-pr...

  • Feature Paper
  • Article
  • Open Access
525 Views
14 Pages

17 July 2025

A Cournot triopoly is a type of oligopoly market involving three firms that produce and sell homogeneous or similar products without cooperating with one another. In Cournot models, firms’ decisions about production levels play a crucial role i...

  • Article
  • Open Access
729 Views
14 Pages

17 July 2025

Bayesian networks (BNs) are effective and universal tools for addressing uncertain knowledge. BN learning includes structure learning and parameter learning, and structure learning is its core. The topology of a BN can be determined by expert domain...

  • Article
  • Open Access
2 Citations
541 Views
21 Pages

Modal Regression Estimation by Local Linear Approach in High-Dimensional Data Case

  • Fatimah A. Almulhim,
  • Mohammed B. Alamari,
  • Ali Laksaci and
  • Zoulikha Kaid

16 July 2025

This paper introduces a new nonparametric estimator for detecting the conditional mode in the functional input variable setting. The estimator integrates a local linear approach with an L1-robust algorithm and treats the modal regression as the minim...

  • Article
  • Open Access
453 Views
13 Pages

On Subprojectivity of Goldie Torsion Modules

  • Hashem Bordbar,
  • Yılmaz Durğun,
  • Yara Şihkayad and
  • Ergül Türkmen

16 July 2025

Recently, the concept of subprojectivity domains for modules has been introduced as a means of quantifying the level of projectivity exhibited by a module. In this research article, we focus on the subprojectivity domain of Goldie torsion modules. In...

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Axioms - ISSN 2075-1680