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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
508 Views
20 Pages

15 July 2025

This paper investigates a stochastic semi-parametric SEIR model characterized by infectivity during the incubation period and influenced by white noise perturbations. First, based on the theory of stochastic persistence, we derive the conditions requ...

  • Article
  • Open Access
448 Views
16 Pages

15 July 2025

In recent years, pneumatic stages have attracted attention as stages for semiconductor manufacturing equipment due to their low cost and minimal maintenance requirements. However, pneumatic stages include nonlinear elements such as friction and air c...

  • Article
  • Open Access
789 Views
20 Pages

12 July 2025

In this paper, an eco-epidemiological model with a weak Allee effect and prey disease dynamics is discussed. Mathematical features such as non-negativity, boundedness of solutions, and local stability of the feasible equilibria are discussed. Additio...

  • Article
  • Open Access
590 Views
17 Pages

11 July 2025

Generalized Laplace and discrete generalized Laplace models are described and some of their properties are reviewed. For the analysis of directional data, it is natural to consider wrapped versions of these models. A well-known result for the circula...

  • Article
  • Open Access
1 Citations
2,715 Views
21 Pages

10 July 2025

Time-series classification remains a critical task across various domains, demanding models that effectively capture both local recurrence structures and global temporal dependencies. We introduce a novel framework that transforms time series into im...

  • Article
  • Open Access
2 Citations
1,104 Views
26 Pages

10 July 2025

Predictive regression models often face a common challenge known as multicollinearity. This phenomenon can distort the results, causing models to overfit and produce unreliable coefficient estimates. Ridge regression is a widely used approach that in...

  • Article
  • Open Access
622 Views
18 Pages

Applications of Complex Uncertain Sequences via Lacunary Almost Statistical Convergence

  • Xiu-Liang Qiu,
  • Kuldip Raj,
  • Sanjeev Verma,
  • Samrati Gorka,
  • Shixiao Xiao and
  • Qing-Bo Cai

10 July 2025

We explore the realm of uncertainty theory by investigating diverse notions of convergence and statistical convergence concerning complex uncertain sequences. Complex uncertain variables can be described as measurable functions mapping from an uncert...

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Axioms - ISSN 2075-1680